Philip J. Morrison
TAERF Professor of Physics
Research Scientist
Institute for Fusion Studies
PUBLICATIONS
W. Barham and P. J. Morrison, “A Mimetic Discretization of Westerfeld's Equation,” arXiv:2407.14718v1 [math.NA] 20 Jul 2024. M. Furukawa and P. J. Morrison, “Simulated Annealing of Reduced Magnetohydrodynamic Systems,” arXiv:2409.17438v1 [physics.plasm-ph] 26 Sep 2024. F. Pegoraro, P. J. Morrison, D. Manzini, F. Califano, “Formulation of a 1-Dimensional Electrostatic Plasma Model for Testing the Valididty of Kinetic Theory,” arXiv:2410.04926v1 [physics.plasm-ph] 7 Oct 2024 M. Mugnaine, I. L. Caldas, J. D. Szezech Jr., R. L. Viana, and P. J. Morrison, “Shearless Effective Barriers to Chaotic Transport Induced by Even Twin Islands in Nontwist Systems,” Physical Review E, 110, 044201 (9pp) (2024). October W. Barham and P. J. Morrison, “On Finite-Dimensional Smoothed-Particle Hamiltonian
Reductions of the Vlasov Equation,” arXiv:2405.02491v1 [math-ph] 3 May 2024A. Fathi, P. J. Morrison, T. M-Seara, and S. Tabachnikov eds., “Hamiltonian Systems: Dynamics, Analysis, Applications,” Mathematical Sciences Research Institute Publication #72 (Cambridge University Press, Cambridge, 2024). April P. J. Morrison, “Some Observations Regarding Brackets and Dissipation,” Center for Pure and Applied Math PAM-228, Berkeley, CA (1984). Available at arXiv:2403.14698v1 [mathph] 15 Mar 2024 A. Zaidni, P. J. Morrison, and S. Benjelloun,, “Thermodynamically Consistent Cahn-Hilliard-Navier-Stokes Equations using the Metriplectic Dynamics Formalism,” Physica D 468, 134303 (11pp) (2024). July N. Sato and P. J. Morrison, “A Collision Operator for Describing Dissipation in Noncanonical Phase Space,”Fundamental Plasma Physics 10, 100054 (18pp) (2024). May P. J. Morrison and M. Updike, “Inclusive Curvature-Like Framework for Describing Dissipation: Metriplectic 4-Bracket Dynamics,” Physical Review E 109, 045202 (22pp) (2024). April W. Barham, Y. Güçlü, P. J. Morrison, and E. Sonnendrücker, “A Self-Consistent Hamiltonian Model of the Ponderomotive Force and its Structure Preserving Discretization,” Physics of Plasmas 31, 013905 (25pp) (2024). January. Selected as Editors Pick. D. A. Kaltsas, A. Kuiroukidis, P. J. Morrison, and G. N. Throumoulopoulos, “Axisymmetric Hybrid Vlasov Equilibria with Applications to Tokamak Plasmas,” Plasma Physics and Controlled Fusion 66, 065016 (11pp) (2024). May M. Furukawa and P. J.Morrison, “Effect of Inclusion of Hamiltonian Dynamics to Simulated Annealing of Reduced Magnetohydrodynamics Equilibrium Calculations,” CCP2023 - 34th IUPAP Conference on Computational Physics, Springer Proceedings in Physics. 5, 10016 (10pp) (2023). March P. J. Morrison and Y. Kimura, “A Hamiltonian Description of Finite-Time Singularity in Euler's Fluid Equations,” Physics Letters A 484, 129078 (13pp) (2023). August D. A. Kaltsas, P. J. Morrison, and G. N. Throumoulopoulos, “Chaotic and integrable magnetic fields in one-dimensional hybrid Vlasov-Maxwell equilibria,” Journal of Plasma Physics 89, 905890403 (26pp) (2023). June W. Barham, P. J. Morrison, and E. Sonnendruecker, “A Hamiltonian and Geometric Formulation of General Vlasov-Maxwell-Type Models,” Fundamental Plasma Physics 5, 10016 (10pp) (2023). February J. Burby and P. J. Morrison, “Mean Field Theory for Intense Light-Matter Interactions in High Energy Density Plasmas,” arXiv:2211.13371v1 [physics.plasm-ph] 24 Nov 2022 R. Simile Baroni, R. Egydio de Carvalho, I. L. Caldas, R. L. Viana, and P. J. Morrison, “Chaotic Saddles and Interior Crises in a Dissipative Nontwist System,” Physical Review E 107, 024216 (14pp) (2023). February F. Pegoraro and P. J. Morrison, “Notes on a 1-Dimensional Electrostatic Plasma Model,”arXiv:2210.04254v1 [physics.plasm-ph] 9 Oct 2022 W. Barham and P. J. Morrison, “Dual PIC: a Structure Preserving Method for Discretizing Lie-Poisson brackets,” arXiv:2208.10444v1 [physics.comp-ph] 22 Aug 2022 R. G. Littlejohn, P. J. Morrison, and J. Heninger, “Charged Particle Motion in Spherically Symmetric Distributions of Magnetic Monopoles,” Journal of Mathematical Physics 63, 112703 (11pp) (2022). November M. Furukawa and P. J. Morrison, “Stability Analysis via Simulated Annealing and Accelerated Relaxation,” Physics of Plasmas 29, 102504 (14pp) (2022). October. Selected as Editors Pick. J. P. Smucker, Z. M. Vural, J. R. Alvarado, and P. J. Morrison, “Fluid Flow Induced Deformation of a Boundary Hair,” Physical Review Fluids 7, 084001 (13pp) (2022). August W. Barham, P. J. Morrison, and E. Sonnendruecker, “A Mimetic Discretization of the Macroscopic Maxwell Equations in Hamiltonian Form,” arXiv:2108.07385v1 [physics.comp-ph] 17 Aug 2021. W. Barham, P. J. Morrison, and E. Sonnendruecker, “A Hamiltonian Model for the Macroscopic Maxwell Equations Using Exterior Calculus,” arXiv:2108.07382v1 [math-ph] 17 Aug 2021. D. Kaltsas, G. Throumoulopoulos, and P. J. Morrison, “Hamiltonian kinetic-Hall magnetohydrodynamics with fluid and kinetic ions in the current and pressure coupling schemes,” Journal of Plasma Physics 87, 835870502 (28pp) (2021). October B. Jayawardana, P. J. Morrison, and T. Ohsawa, “Clebsch Canonization of Lie--Poisson Systems,” Journal of Geometric Mechanics 14, 635--658 (2022). August Z. Yoshida and P. J. Morrison, “The Kinetic Origin of the Fluid Helicity -- a Symmetry in the Kinetic Phase Space,”Journal of Mathematical Physics 63, 023101 (22pp) (2022). February. R. L. Viana, I. L. Caldas, J. D. Szezech Jr., A. M. Batista, C. V. Abud, A. B. Schelin, M. Mugnaine, M. S. Santos, B. B. Leal, B. Bartoloni, A. C. Mathias, J. V. Gomes, and P. J. Morrison, “Transport Barriers in Symplectic Maps,” Brazilian Journal of Physics 51, 899–909 (2021). April. Featured in the Brazilian Physical Society Bulletin. M. Lingam, P. J. Morrison, and A.Wurm, “A Class of Three-Dimensional Gyroviscous Magnetohydrodynamic Models,” Journal of Plasmas Physics 86, 835860501 (28pp) (2020). September P. J. Morrison, T. Andreussi, and F. Pegoraro, “Lagrangian and Dirac Constraints for the Ideal Incompressible Fluid and Magnetohydrodynamics,” Journal of Plasmas Physics 86, 835860301 (44pp) (2020). May. Selected as Editorial Board's Featured Article. Z. Yoshida and P. J. Morrison, “Deformation of Lie-Poisson Algebras and Chirality,” Journal of Mathematical Physics 61, 082901 (22pp) (2020). August D. A. Kaltsas, G. N. Throumoulopoulos, and P. J. Morrison, “Energy-Casimir, Dynamically Accessible, and Lagrangian Stability of Extended Magnetohydrodynamic Equilibria,” Physics of Plasmas 27, 012104 (16pp) (2020). January B. Coquinot and P. J. Morrison, “A General Metriplectic Framework with Application to Dissipative Extended Magnetohydrodynamics,”Journal of Plasma Physics 86, 835860302 (32pp) (2020). May J. Heninger and P. J. Morrison, “Hamiltonian Nature of Monopole Dynamics,” Physics Letters A, 384, 126101 (5pp) (2020). January D. A. Kaltsas, G. N. Throumoulopoulos, and P. J. Morrison, “Ellipticity Conditions for the Extended MHD Grad-Shafranov-Bernoulli Equilibrium Equations,” Physics of Plasmas 26, 024501 (5pp) (2019). February G. R. Flierl, P. J. Morrison and R. V. Swaminathan, “Jovian Vortices and Jets,” Fluids: Topical Collection "Geophysical Fluid Dynamics" 4, 104 (20pp) (2019). June C. Bressan, M. Kraus, P. J. Morrison, and O. Maj, “Relaxation to Magnetohydrodynamic Equilibria via Collision Brackets,” Journal of Physics: Conf. Series 1125, 012002 (12pp) (2018). October J. Heninger and P. J. Morrison, “An Integral Transform Technique for Kinetic Systems with Collisions,” Physics of Plasmas 25, 082118 (16pp) (2018). August. Selected as Editor's Top Pick. M. Furukawa, T. Watanabe, P. J. Morrison, and K. Ichiguchi, “Calculation of Large-Aspect-Ratio Tokamak and Toroidally-Averaged Stellarator Equilibria of High-Beta Reduced Magnetohydrodynamics via Simulated Annealing,” Physics of Plasms 25, 082506 (8pp) (2018). August G. Miloshevich, P. J. Morrison, and E. Tassi, “Direction of Cascades in a Magnetofluid Model with Electron Skin Depth and Ion Sound Larmor Radius Scales,” Physics of Plasmas 25, 072303 (10pp) (2018). July D. A. Kaltsas, G. N. Throumoulopoulos, and P. J. Morrison, “Helically Symmetric Extended MHD: Hamiltonian Formulation and Equilibrium Variational Principles,” Journal of Plasma Physics 84, 745840301 (22pp) (2018). March F. M. Lee, M. R. Allshouse, H. L. Swinney, and P. J. Morrison, “Internal Wave Energy Flux from Density Perturbations in Nonlinear Stratifcations,” Journal of Fluid Mechanics 856, 898–920 (2018). October I. L. Caldas, B. F. Bartoloni, D. Ciro, G. Roberson, A. B. Schelin, T. Kroetz, M. Roberto, R. L. Viana, K. C. Iarosz, A. M. Batista, and P. J. Morrison, “Symplectic Maps for Diverted Plasmas,” IEEE Trans. Plasma Science 46, 78–86 (2018). July A. Simha, J. Mo, and P. J. Morrison, “Unsteady Stokes Flow Near Boundaries: the Point-Particle Approximation and the Method of Reflections,” Journal of Fluid Mechanics 841, 883–924 (2018). January M. Materassi and P. J. Morrison, “Metriplectic Torque for Rotation Control of a Rigid Body,” Journal Cybernetics and Physics 7, 78–86 (2018). September D. A. Kaltsas, G. N. Throumoulopoulos, and P. J. Morrison, “Translationally Symmetric Extended MHD via Hamiltonian Reduction: Energy-Casimir Equilibria,” Physics of Plasmas 24, 092504 (13pp) (2017). July E. Hassan, I. Keramidas Charidakos, P. J. Morrison, D. R. Hatch, and W. Horton, “Plasma Turbulence in the Equatorial Electrojet: A Two-Dimensional Hamiltonian Fluid Model,” Physics of Plasmas 24, 072301 (10pp) (2017). June Z. Yoshida and P. J. Morrison, “Epi-Two-Dimensional Fluid Flow: A New Topological Paradigm for Dimensionality,” Physical Review Letters 119, 244501 (5pp) (2017). December P. J. Morrison, “Structure and Structure-Preserving Algorithms for Plasma Physics,” Physics of Plasmas 24, 055502 (20pp) (2017). April. Selected as Editor's Pick. Y. Kawazura, G. Miloshevich, and P. J. Morrison, “Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models,” Physics of Plasmas 24, 022103 (10pp) (2017). February. Selected as Editor's Top Pick. D. Grasso, E. Tassi, H. M. Abdelhamid, and P. J. Morrison, “Structure and Computation of Two-Dimensional Incompressible Extended MHD,” Physics of Plasmas 24, 012110 (13pp) (2017). January T. F. Viscondi, I. L. Caldas, and P. J. Morrison, “Beatification: Flattening the Poisson Bracket for Two-Dimensional Fluid and Plasma Theories,” Physics of Plasmas 24, 032102 (9pp) (2017). March G. Miloshevich, M. Lingam, and P. J. Morrison, “On the Structure and Statistical Theory of Turbulence of Extended Magnetohydrodynamics,” New Journal of Physics 19, 015007 (17pp) (2017). January Z. Yoshida, T. Tokieda and P. J. Morrison, “Rattleback: A Model of How Geometric Singularity Induces Dynamic Chirality,” Physics Letters A 381, 2772–2777 (2017). June M. Kraus, K. Kormann, P. J. Morrison, E. Sonnendrücker, “GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods,” Journal of Plasma Physics 83, 905830401 (51pp) (2017). July. Selected as Editorial Board's Featured Article. M. Furukawa and P. J. Morrison, “Simulated Annealing for Three-Dimensional Low-Beta Reduced MHD Equilibria in Cylindrical Geometry,” Plasma Physics and Controlled Fusion 59, 054001 (11pp) (2017). March Z. Yoshida and P. J. Morrison, “Epi-Two-Dimensional Flow and Generalized Enstrophy,” in Mathematics for Nonlinear Phenomena: Analysis and Computation, eds. Y. Maekawa and S. Jimbo, pp. 271–284, Springer Nature (2017).
T. Andreussi, P. J. Morrison, and F. Pegoraro, “Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability - Examples with Translation Symmetry,” Physics of Plasmas 23,102112 (21pp) (2016). October J. Xiao, H. Qin, P. J. Morrison, J. Liu, Z. Yu, R. Zhang, and Y. He, “Explicit High-Order Noncanonical Symplectic Algorithms for Ideal Two-Fluid Systems,”Physics of Plasmas 23,112107 (8pp) (2016). November A. J. Brizard, P. J. Morrison, J. W. Burby, L. de Guillebon, and M. Vittot, “Lifting of the Vlasov-Maxwell Bracket by Lie-Transform Method,” Journal of Plasma Physics 82, 905820608 (28pp) (2016). November E. Hassan, D. R. Hatch, P. J. Morrison, and W. Horton, “Multiscale Equatorial Electrojet Turbulence: Energy Conservation, Coupling, and Cascades in a Baseline 2-D Fluid Model,” Journal of Geophysical Research 121, 9127–9145 (2016). September M. Lingam, G. Miloshevich, and P. J. Morrison, “Concomitant Hamiltonian and Topological Structures of Extended Magnetohydrodynamics,” Physics Letters A 380, 2400–2406 (2016). May M. R. Allshouse, F. M. Lee, P. J. Morrison, and H. L. Swinney, “Internal Wave Pressure, Velocity, and Energy Flux from Density Perturbations,” Physical Review F 1, 014301 (20pp) (2016). May. Inaugural Volume. P. J. Morrison and J. Vanneste, “Weakly Nonlinear Dynamics in Noncanonical
Hamiltonian Systems with Applications to Fluids and Plasmas,” Annals of Physics 368, 117–147 (2016). FebruaryM. Hirota and P. J. Morrison, “Stability Boundaries and Sufficient Stability Conditions for Stably Stratified, Monotonic Shear Flows,” Physics Letters A 380, 1856–1860 (2016). April E. C. D'Avignon, P. J. Morrison, and M. Lingam, “Derivation of the Hall and Extended Magnetohydrodynamics Brackets,” Physics of Plasmas 23, 062101 (17pp) (2016). June. Selected as Editor's Top Pick T. F. Viscondi, I. L. Caldas, and P. J. Morrison, “A Method for Hamiltonian Truncation: A Four-Wave Example,” Journal of Physics A 49, 165501 (24pp) (2016). March Z. Yoshida and P. J. Morrison, “Hierarchical Structure of Noncanonical Hamiltonian Systems,” Physica Scripta 91, 024001 (7pp) (2016). January I. Keramidas Charidakos, F. Waelbroeck, and P. J. Morrison, “Hamiltonian Five-Field Gyrofluid Model,” Physics of Plasmas 22, 112113 (11pp) (2015). November M. Perin, C. Chandre, P. J. Morrison, and E. Tassi, “Hamiltonian Fluid Closures of the Vlasov-Ampère Equations: from Water-Bags to N Moment Models,”Physics of Plasmas 22, 092309 (11pp) (2015). September M. Lingam, P. J. Morrison, and G. Miloshevich, “Remarkable Connections between Extended Magnetohydrodynamics Models,” Physics of Plasmas 22, 072111 (8pp) (2015). July M. Hirota, Y. Hattori, and P. J. Morrison, “Explosive Magnetic Reconnection Caused by an X-Shaped Current-Vortex Layer in a Collisionless Plasma,” Physics of Plasmas 22, 052114 (11pp) (2015). May M. Perin, C. Chandre, P. J. Morrison, and E. Tassi, “Hamiltonian Closures for Fluid Models with Four Moments by Dimensional Analysis,”Journal of Physics A 48, 275501 (24pp) (2015). June T. Andreussi, P. J. Morrison, and F. Pegoraro, “Erratum: Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability - Theory,” Physics of Plasmas 22, 039903 (3pp) (2015). March F. Pegoraro, F. Califano, G. Manfredi, and P. J. Morrison, "Theory and Applications of the Vlasov Equation," European Journal of Physics D 69, 68 (3pp) (2015). March E. D'Avignon, P. J. Morrison, and F. Pegoraro, "Action Principle for Relativistic Magnetohydrodynamics," Physical Review D 91, 084050 (16pp) (2015). April. J. Burby, A. Brizard, P. J. Morrison, and H. Qin, "Hamiltonian Gyrokinetic Vlasov-Maxwell System," Physics Letters A 379, 2073–2077 (2015). September M. Lingam, P. J. Morrison, and E. Tassi, "Inertial Magnetohydrodynamics," Physics Letters A 379, 570–576 (2015). March C. Tronci, E. Tassi, and P. J. Morrison, "Energy-Casimir Stability of Hybrid Vlasov-MHD Models," Journal of Physics A 48, 185501 (17pp) (2015). April M. Lingam and P. J. Morrison, "The Action Principle for Generalized Fluid Motion Including Gyroviscosity," Physics Letters A 378, 3526–3532 (2014). I. Keramidas Charidakos, M. Lingam, P. J. Morrison, R. L. White, and A. Wurm, "Action Principles for Extended MHD Models," Physics of Plasmas 21, 092118 (12pp) (2014). K. Kimura and P. J. Morrison, "On Energy Conservation in Extended Magnetohydrodynamics," Physics of Plasmas 21, 082101 (6pp) (2014). P. J. Morrison, M. Lingam, and R. Acevedo, "Hamiltonian and Action Formalisms for Two-Dimensional Gyroviscous MHD," Physics of Plasmas 21, 082102 (11pp) (2014). M. Perin, C. Chandre, P. J. Morrison and E. Tassi, "Higher Order Hamiltonian Fluid Reduction of Vlasov Equation," Annals of Physics 348, 50–63 (2014). C. Tronci, E. Tassi, E. Camporeale, and P. J. Morrison, "Hybrid Vlasov-MHD Models: Hamiltonian vs. Non-Hamiltonian," Plasma Physics and Controlled Fusion 56, 095008 (11pp) (2014). M. Hirota, P. J. Morrison, and Y. Hattori, "Variational Necessary and Sufficient Stability Conditions for Inviscid Shear Flow," Proceedings of the Royal Society A 470, 20140322 (23pp) (2014). Z. Yoshida and P. J. Morrison, "A Hierarchy of Noncanonical Hamiltonian Systems: Circulation Laws in an Extended Phase Space," Fluid Dynamics Research 46, 031412 (21pp) (2014). F. M. Lee, M. Paoletti, H. L. Swinney, and P. J. Morrison, "Experimental Determination of Radiated Internal Wave Power without Pressure Field Data," Physics of Fluids 26, 046606 (17pp) (2014). Y. Cheng, I. M. Gamba, F. Li, and P. J. Morrison, "Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations,” SIAM Journal on Numerical Analysis 52, 1017–1049 (2014). C. Chandre, P. J. Morrison, and E. Tassi, "Hamiltonian Formulation of the Modified Hasegawa Mima Equation," Physics Letters A 378, 956–959 (2014). N. J. Balmforth, P. J. Morrison, and J.-L. Thiffeault, "Pattern Formation in Hamiltonian Systems with Continuous Spectra; a Normal-Form Single-Wave Model,” Review of Modern Physics, commissioned (2013). G. I. Hagstrom and P. J. Morrison, "Continuum Hamiltonian Hopf Bifurcation II,” Nonlinear Physical Systems – Spectral Analysis, Stability and Bifurcations, eds. O. Kirillov and D. Pelinovsky (Wiley, 2014). P. J. Morrison and G. I. Hagstrom, "Continuum Hamiltonian Hopf Bifurcation I,” Nonlinear Physical Systems – Spectral Analysis, Stability and Bifurcations, eds. O. Kirillov and D. Pelinovsky (Wiley, 2014). P. J. Morrison, E. Tassi, and C. Tronci, "Energy Stability Analysis for a Hybrid Fluid-Kinetic Plasma Model,”Nonlinear Physical Systems – Spectral Analysis, Stability and Bifurcations, eds. O. Kirillov and D. Pelinovsky (Wiley, 2014). Z. Yoshida and P. J. Morrison, "Unfreezing Casimir Invariants: Singular Perturbations Giving Rise to Forbidden Instabilities,”Nonlinear Physical Systems – Spectral Analysis, Stability and Bifurcations, eds. O. Kirillov and D. Pelinovsky (Wiley, 2014). Z. Yoshida, P. J. Morrison, and F. Dobarro, “Singular Casimir Elements of the Euler Equation and Equilibrium Points,” Journal of Mathematical Fluid Mechanics 16, 41–57 (2014).
T. Andreussi, P. J. Morrison, and F. Pegoraro, “Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability - Theory,” Physics of Plasmas 20, 092104 (15pp) (2013). P. J. Morrison, E. Tassi, and N. Tronko, "Stability of Compressible Reduced Magnetohydrodynamic Equilibria – Analogy with Magnetorotational Instability,” Physics of Plasmas 20, 042109 (10pp) (2013). M. Hirota, P. J. Morrison, Y. Ishii, M. Yagi, and N. Aiba, "Nonlinear Variational Method for Predicting Fast Collisionless Magnetic Reconnection,” Nuclear Fusion 20, 063024 (11pp) (2013). F. Valentini, D. Perrone, F. Califano, F. Pegoraro, P. Veltri, P. J. Morrison, and T. M. O'Neil, "Response to Comments on 'Undamped Electrostatic Plasma Waves' [Phys. Plasmas 19, 092103 (2012)],” Physics of Plasmas 20, 034702 (4pp) (2013). P. J. Morrison, M. Vittot, and L. de Guillebon, “Lifting Particle Coordinate Changes of Magnetic Moment Type to Vlasov-Maxwell Hamiltonian Dynamics,” Physics of Plasmas 20, 032109 (9pp) (2013). P. J. Morrison, “A General Theory for Gauge-Free Lifting,” Physics of Plasmas 20, 012104 (14pp) (2013). M. Hirota, P. J. Morrison, Y. Ishii, M. Yagi, N. Aiba, “Nonlinear Acceleration Mechanism of Collisionless Magnetic Reconnection,” Proceedings of the 24th IAEA Fusion Energy Conference, San Diego, CA (2012) (International Atomic Energy Agency, Vienna, Austria, 2013). Y. Cheng, I. M. Gamba, and P. J. Morrison, “Study of Conservation and Recurrence of Runge-Kutta Discontinuous Galerkin Schemes for Vlasov-Poisson Systems,” Journal of Scientific Computing 56, 319–349 (2013). A. Crosby, E. R. Johnson, and P. J. Morrison, “Deformation of Vortex Patches by Boundaries,” Physics of Fluids 25, 023602 (19pp) (2013). Anthony M. Bloch, Philip J. Morrison, and Tudor S. Ratiu, “Gradient Flows in the Normal and Kaehler Metrics and Triple Bracket Generated Metriplectic Systems,” in Recent Trends in Dynamical Systems, eds. A. Johann et al., Springer Proceedings in Mathematics & Statistics 35, DOI 10.1007/978-3-0348-041-6_15, (2013) pp. 371–415. R. D. Hazeltine, S. M. Mahajan and P. J. Morrison, “Local Thermodynamics of a Magnetized, Anisotropic Plasma,” Physics of Plasmas 20, 022506 (8pp) (2013). J. D. Szezech Jr., A. B. Schelin, I. L. Caldas, S. R. Lopes, P. J. Morrison, and R. L. Viana, “Finite-Time Rotation Number: A Fast Indicator for Chaotic Dynamical Structures,” Physics Letters A 377, 452–456 (2013).
C. Chandre, L. de Guillebon, A. Back, E. Tassi, and P. J. Morrison, “On the Use of Projectors for Hamiltonian Systems and Their Relationship with Dirac Brackets,” Journal of Physics A: Math. Theor. 46, 125203 (14pp) (2013). N. Lebovitz and P. J. Morrison, “2011 Program of Study: Shear Turbulence: Onset and Structure,” 2011 Program in Geophysical Fluid Dynamics, Woods Hole Oceanographic Institution, Report WHOI-2013-02 (2013).
I. L. Caldas, R. L. Viana, C. Abud, J. C. D. Fonseca, Z. Guimaraes Filho, T. Kroetz, F. A. Marcus, A. Schelin, J. D. Szezech Jr., D. Toufen, M. S. Benkadda, S. R. Lopes, P. J. Morrison, M. Roberto, K. Gentle, Yu. Kuznetsov, and I. C. Nascimento, “Shearless Transport Barriers in Magnetically Confined Plasmas,” Plasma Physics and Controlled Fusion 54, 124035 (11pp) (2012). F. Valentini, D. Perrone, F. Califano, F. Pegoraro, P. Veltri, P. J. Morrison, and T. M. O'Neil, “Undamped Electrostatic Plasma Waves,” Physics of Plasmas 19, 092103 (11pp) (2012). T. Andreussi, P. J. Morrison, and F. Pegoraro, “Hamiltonian Magnetohydrodynamics: Symmetric Formulation, Casimir Invariants, and Equilibrium Variational Principles,” Physics of Plasmas 19, 052102 (8pp) (2012). P. J. Morrison, “On the Hamilton-Jacobi Variational Formulation of the Vlasov Equation,” Math-for-Industry Lecture Series 39, 64–75 (2012). J. D. Szezech Jr., I. L. Caldas, S. R. Lopes, P. J. Morrison, and R. L. Viana, “Effective Transport Barriers in Nontwist Systems,” Physical Review E 86, 036206 (8pp) (2012). T. Kroetz, M. Roberto, I. L. Caldas, R. L. Viana, and P. J. Morrison, “Divertor Map with Freedom of Geometry and Safety Factor Profiles,” Plasma Physics and Controlled Fusion 54, 0450007 (13pp) (2012). C. Chandre, P. J. Morrison, and E. Tassi, “On the Hamiltonian Formulation of Incompressible Ideal Fluids and Magnetohydrodynamics via Dirac's Theory of Constraints,” Physics Letters A 376, 737–743 (2012).
R. E. Heath, I. M. Gamba, P. J. Morrison, and C. Michler, “A Discontinuous Galerkin Method for the Vlasov-Poisson System,” Journal of Computational Physics 231, 1140–1174 (2012).
M. Marklund and P. J. Morrison, “Gauge-Free Hamiltonian Structure of the Spin Maxwell-Vlasov Equations,” Physics Letters A 375, 2362–2365 (2011).
T. Okabe, P. J. Morrison, J. E. Friedrichsen III, and L. C. Shepley, “Hamiltonian Dynamics of Spatially-Homogeneous Vlasov-Einstein Systems,” Physical Review D 84, 024011 (11pp) (2011).
E. Tassi and P. J. Morrison, “Mode Signature and Stability for a Hamiltonian Model of Electron Temperature Gradient Turbulence,” Physics of Plasmas 18, 032115 (13pp) (2011).
G. I. Hagstrom and P. J. Morrison, “Caldeira-Leggett Model, Landau Damping, and the Vlasov-Poisson System,” Physica D 240, 1652–1660 (2011).
G. R. Flierl and P. J. Morrison, “Hamiltonian-Dirac Simulated Annealing: Application to the Calculation of Vortex States,” Physica D 240, 212–232 (2011).
G. I. Hagstrom and P. J. Morrison, “On Krein-Like Theorems for Noncanonical Hamiltonian Systems with Continuous Spectra: Application to Vlasov-Poisson,” Transport Theory and Statistical Physics 39, 466–501 (2010).
C. Chandre, E. Tassi, and P. J. Morrison, “Derivation of Reduced Two-Dimensional Fluid Models via Dirac's Theory of Constrained Hamiltonian Systems,” Physics of Plasmas 17, 042307 (6pp) (2010).
T. Andreussi, P. J. Morrison, and F. Pegoraro, “MHD Equilibrium Variational Principles with Symmetry” Plasma Physics and Controlled Fusion 52, 055001 (22pp) (2010). E. Tassi, P. J. Morrison, D. Grasso and F. Pegoraro, “Hamiltonian Four-Field Model for Magnetic Reconnection: Nonlinear Dynamics and Extension to Three Dimensions with Externally Applied Fields,” Nuclear Fusion 50, 034007 (8pp) (2010). T. Kroetz, M. Roberto, I. L. Caldas, R. L. Viana, P. J. Morrison, and P. Abbamonte, “Integrable Maps with Non-trivial Topology: Application to Divertor Configurations,” Nuclear Fusion 50, 034003 (14pp) (2010). P. J. Morrison, “On Hamiltonian and Action Principle Formulations of Plasma Dynamics,” in New Developments in Nonlinear Plasma Physics: Proceedings for the 2009 ICTP College on Plasma Physics, eds. B. Eliasson and P. Shukla, American Institute of Physics Conference Proceedings No.1188 (American Institute of Physics, New York, 2009) pp. 329–344. F. L. Waelbroeck, R. D. Hazeltine, and P. J. Morrison, “Hamiltonian Electromagnetic Gyrofluid Model,” Physics of Plasmas 16, 032109 (8pp) (2009).
J. D. Szezech Jr., I. L. Caldas, S. R. Lopes, R. L. Viana, and P. J. Morrison, “Transport Properties in Nontwist Area-Preserving Maps,” CHAOS 19, 043108 (9pp) (2009).
W. Horton, P. J. Morrison, X. R. Fu, and J. Pratt, “Transport with Reversed Er in the Gamma-10 Tandem Mirror,” Transactions of Fusion Science and Technology 55, 15–18 (2009). P. J. Morrison, “Thoughts on Brackets and Dissipation: Old and New,” Journal of Physics: Conference Series 169, 012006 (12pp) (2009). P. J. Morrison, N. Lebovitz, and J. Biello, “The Hamiltonian Description of Incompressible Fluid Ellipsoids,” Annals of Physics 324, 1747–1762, (2009). P. J. Morrison and A. Wurm, “Nontwist Maps,” Scholarpedia, 4 (9), 3551 (2009). http://www.scholarpedia.org/article/Nontwist maps E. Tassi, C. Chandre, and P. J. Morrison, “Hamiltonian Derivation of the Charney-Hasegawa-Mima Equation,” Physics of Plasmas 16, 082301 (5pp) (2009). E. Tassi, D. Grasso, and F. Pegoraro, and P. J. Morrison, “Stability and Nonlinear Dynamics Aspects of a Model for Collisionless Magnetic Reconnection,” Journal of Plasma and Fusion Research Series 8, 159–164 (2009). E. Tassi, P. J. Morrison, F. L. Waelbroeck, and D. Grasso, “Hamiltonian Formulation and Analysis of a Collisioinless Fluid Reconnection Model,” Plasma Physics and Controlled Fusion 50, 085014 (29pp) (2008). F. A. Marcus, I. L. Caldas, Z. O. Guimar˜aes-Filho, P. J. Morrison, W. Horton, Yu. K. Kuznetsov, and I. C. Nascimento, “Reduction of Chaotic Particle Transport Driven by Drift Waves in Sheared Flows,” Physics of Plasmas 15, 112304 (9pp) (2008). P. J. Morrison, J. L. Johnson, and V. Chan, Obituary for John M. Greene, Physics Today, June (2008) p. 68. J. S. E. Portela, I. L. Caldas, R. L. Viana, P. J. Morrison, “Diffusive Transport Through a Nontwist Barrier in Tokamaks,” International Journal of Bifurcation and Chaos 17, 1589–1598 (2007). I. L. Caldas, F. A. Marcus, A. M. Batista, R. L. Viana, S. R. Lopes, M. V. A. P. Heller, Z. O. Guimar˜aes-Filho, P. J. Morrison, W. Horton, “Turbulence Induced Transport in Tokamaks,” in PLASMA AND FUSION SCIENCE: 16th IAEA Technical Meeting on Research using Small Fusion Devices; XI Latin American Workshop on Plasma Physics 2005, ed. J. Julio E. Herrera Velzquez, American Institute of Physics Conference Proceedings No. 875 (American Institute of Physics, New York, 2007) pp. 341–346. P. J. Morrison and B. A. Shadwick, “On the Fluctuation Spectrum of Plasma,” Communications in Nonlinear Science and Numerical Simulations 13, 130–140 (2007). K. Fuchss, A. Wurm, and P.J. Morrison, “On a New Fixed Point of the Renormalization Group Operator for Area-Preserving Maps,” Physics Letters A 366, 437–441 (2007). E. Tassi, P. J. Morrison, and D. Grasso, “Hamiltonian Structure of a Collisionless Reconnection Model valid for High and Low β Plasmas,” in Collective Phenomena in Macroscopic Systems, eds. G. Bertin, R. Pozzoli, M. Rom`e and K. R. Sreenivasan (World Scientific, Singapore, 2007) pp. 197–206. T. B. Krause, A. Apte, and P. J. Morrison, “A Unified Approach to the Darwin Approximation,” Physics of Plasmas 14, 102112 (10pp) (2007). Sunghwan Jung, P. J. Morrison, and H. L. Swinney, “On the Statistical Mechanics of Two-Dimensional Turbulence,” Journal of Fluid Mechanics 554, 433–456 (2006). P. J. Morrison. “Hamiltonian Fluid Mechanics,” Encyclopedia of Mathematical Physics, vol. 2, Elsevier, 593–600 (2006). A. M. Batista, I. L. Caldas, S. R. Lopes, R. L. Viana, W. Horton, and P. J. Morrison, “Nonlinear Three-Mode Interaction and Drift-Wave Turbulence in a Tokamak Edge Plasma” Physics of Plasmas 13, 042510 (10pp) (2006). K. Fuchss, A. Wurm, A. Apte, and P. J. Morrison, “Breakup of Shearless Meanders and Outer Tori in the Standard Nontwist Map,” CHAOS 16, 033120 (11pp) (2006). A. Apte, A. Wurm, and P. J. Morrison, “Renormalization for Breakup of Invariant Tori,” Physica D200, 47–59 (2005). W. Horton, H. V. Wong, P. J. Morrison, A. Wurm, J. C. Perez, J. H. Kim, G. T. Hoang, B. P. LeBlanc and R. Ball, “Temperature Gradient Driven Electron Transport in NSTX and Tore Supra,” Nuclear Fusion 45, 976–985 (2005). P. J. Morrison, “Hamiltonian and Action Principle Formulations of Plasma Physics,” Physics of Plasmas 12, 058102 (13pp) (2005). A. Wurm, A. Apte, K. Fuchss, and P. J. Morrison, “Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map,” CHAOS 15, 023108 (13pp) (2005). E. G. Evstatiev, P. J. Morrison, and W. Horton, “A Relativistic Beam–Plasma System with Electromagnetic Waves,” Physics of Plasmas 12, 072198 (9pp) (2005). F. L. Waelbroeck, P. J. Morrison, and W. Horton, “Hamiltonian Formulation and Coherent Structures in Electrostatic Turbulence,” Plasma Physics and Controlled Fusion 46, 1331–1350 (2004). A. Wurm, A. Apte, and P. J. Morrison, “On Reconnection Phenomena in the Standard Nontwist Map,” Brazilian Journal of Physics 34, 1700–1706 (2004). A. Wurm, A. Apte, K. Fuchs and P. J. Morrison, "Separatrix Reconnection and Meanders in the Standard Nontwist Map," in Proceedings of 31st European Physical Society Conference on Plasma Physics, June 28 - July 2 (Imperial College, London, 2004). P. J. Morrison, “Hamiltonian Description of Fluid and Plasma Systems with Continuous Spectra,” in Nonlinear Processes in Geophysical Fluid Dynamics, eds. O. U. Velasco Fuentes, J. Sheinbaum, and J Ochoa (Kluwer, Dordrecht, 2003) pp. 53–69. A. Apte, A. Wurm, and P. J. Morrison, “Renormalization and Destruction of 1/γ^2 Tori in the Standard Nontwist Map,” CHAOS 13, 421–433 (2003). F. Pétrélis, A. Alexakis, C. R. Doering, and P. J. Morrison, “Bounds on Dissipation in Magnetohydrodynamic Problems in Plane Shear Geometry,” Physics of Plasmas 10, 4314–4323 (2003). A. Alexakis, F. Pétrélis, P. J. Morrison, and C. R. Doering, “Bounds on Dissipation in Magnetohydrodynamic Couette and Hartmann Shear Flows,” Physics of Plasmas 10, 4324–4334 (2003). E. G. Evstatiev, W. Horton, and P. J. Morrison, “Multiwave Model for Plasma-Wave Interaction,” Physics of Plasmas 10, 4090-4094 (2003). N. J. Balmforth and P. J. Morrison: "Hamiltonian Description of Shear Flow," in Large-Scale Atmosphere-Ocean Dynamics II, eds. J. Norbury and I. Roulstone (Cambridge, Cambridge, 2002) pp. 117–142. P. J. Morrison, “Singular Eigenfunctions and an Integral Transform for Shear Flow," in Sound–Flow Interactions, eds. Y. Auregan, A. Maurel, V. Pagneux, and J.-F. Pinton (Springer–Verlag, Berlin 2002) pp. 238–247. 101.
Jean-Luc Thiffeault and P. J. Morrison, “The Twisted Top,” Physics Letters A 283, 335–341 (2001). J. C. Bowman, B. A. Shadwick, and P. J. Morrison, “Numerical Challenges for Turbulence: Statistical Equipartition and the Method of Spectral Reduction,” in Scientific Computing and Applications, eds. Peter Minev, Yau Shu Wong, and Yanping Lin (Nova Science, Huntington, New York, 2001) pp. 171–178. P. J. Morrison, “Hamiltonian Description of Vlasov Dynamics: Action-Angle Variables for the Continuous Spectrum,” Transport Theory and Statistical Physics 29, 397–414 (2000).
Jean-Luc Thiffeault and P. J. Morrison, “Classification of Casimir Invariants of Lie-Poisson Brackets,” Physica D 136, 205–244 (2000). P. J. Morrison, “Magnetic Field Lines, Hamiltonian Dynamics, and Nontwist Systems,” Physics of Plasmas 7, 2279–2289 (2000). J.-M. Kwon, Horton, P. Zhu, P. J. Morrison, H.-B. Park, and D. I. Choi, “Global Drift Wave Map Test Particle Simulations,” Physics of Plasmas 7, 1169–1180 (2000). N. J. Balmforth and P. J. Morrison, “A Necessary and Sufficient Instability Condition for Inviscid Shear Flow,” Studies in Applied Mathematics 102, 309–344 (1999).
B. A. Shadwick, J. C. Bowman, and P. J. Morrison, “Exactly Conservative Integrators,” SIAM Journal of Applied Mathematics 59, 1112–1133 (1999). T. W. Yudichak, B. Hern`andez-Bermejo, and P. J. Morrison, “Computing Casimir Invariants from Pffafian Systems,” Physics Letters 260A, 475–483 (1999). J. C. Bowman, B. A. Shadwick, and P. J. Morrison, “Spectral Reduction: A Statistical Description of Turbulence," Physical Review Letters 83, 5491–5494 (1999). P. J. Morrison, “Hamiltonian Description of the Ideal Fluid,” Reviews of Modern Physics 70, 467–521 (1998). J. Vanneste, P. J. Morrison and T. Warn, “Strong Echo Effect and Nonlinear Transient Growth in Shear Flows,” Physics of Fluids 10, 1398–1404 (1998). W. Horton, H-B. Park, J-M. Kwon, D. Strozzi, P. J. Morrison and D-I. Choi, “Drift Wave Test Particle Transport in Reversed Shear Profile,” Physics of Plasmas 5, 3910–3917 (1998). Jean-Luc Thiffeault and P. J. Morrison, “Invariants and Labels in Lie-Poisson Systems,” Annals of the New York Academy of Sciences 867, 109–119 (1998), in Nonlinear Dynamics and Chaos in Astrophysics, eds. J. R. Buchler, S. T. Gottesman, and H. E. Kandrup. A. Casti, P. J. Morrison, and E. A. Spiegel, “Negative Energy Modes and Gravitational Instability of Interpenetrating Fluids,” Annals of the New York Academy of Sciences 867, 93–108 (1998), in Nonlinear Dynamics and Chaos in Astrophysics, eds. J. R. Buchler, S. T. Gottesman, and H. E. Kandrup. D. del-Castillo Negrete, J. M. Greene, and P. J. Morrison, “Renormalization and Transition to Chaos in Area Preserving Nontwist Maps,” Physica 100D, 311–329 (1997). S. Meacham, P. J. Morrison, and G. Flierl, “Hamiltonian Moment Reduction for Describing Vortices in Shear,” Physics of Fluids 9, 2310–2328 (1997). J. C. Bowman, B. A. Shadwick, and P. J. Morrison, “Exactly Conservative Integrators,” Berlin Proceedings, in 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics 2, ed. A. Sydow (Wissenschaft & Technik, Berlin, Germany, 1997) pp. 595–600.
I. Bialynicki-Birula and P. J. Morrison, “Quantum Mechanics as a Generalization of Nambu Dynamics to the Weyl-Wigner Formalism,” Zeitschrift für Naturforschung a 52, 9–12 (1997). Reissue of 1991 paper. D. del-Castillo-Negrete, J. M. Greene, and P. J. Morrison, “Area Preserving Nontwist Maps: Periodic Orbits and Transition to Chaos,” Physica 91D, 1–23 (1996). N. Padhye and P. J. Morrison, “Fluid Element Relabeling Symmetry,” Physics Letters A 219, 287–292 (1996). J. Bowman, B. Shadwick, and P. J. Morrison, “Spectral Reduction for Two-Dimensional Turbulence,” in Transport, Chaos, and Plasma Physics Conference 2, eds. S. Benkadda, F. Doveil, and Y. Elskens (World Scientific, Singapore, 1996) pp. 58–73. N. Padhye and P. J. Morrison, “Relabeling Symmetries in Hydrodynamics and Magnetohydrodynamics,” Plasma Physics Reports 22, 869–877 (1996). K. Ngan, S. Meacham, and P. J. Morrison, “Elliptical Vortices in Shear: Hamiltonian Moment Formulation and Melnikov Analysis,” Physics of Fluids 4, 896–913 (1996). R. S. Steinolfson, L. Ofman, and P. J. Morrison, “Magnetic Reconnection and Current-Sheet Formation at X-Type Neutral Points,” in Space Plasmas: Coupling Between Small and Medium Scale Processes, Geophysical Monograph Series, Vol. 86, eds. M. Ashour-Abdalla, T.S. Cheng, and P. Dusenburg (American Geophysical Union: Washington, DC, 1995) pp. 189–196. J. Batt, P. J. Morrison, and G. Rein, “Linear Stability of Stationary Solutions of the Vlasov-Poisson System in Three Dimensions,” Archive for Rational Mechanics and Analysis 130, 163–182 (1995). C. S. Kueny and P. J. Morrison, “Nonlinear Instability and Chaos in Plasma Wave-Wave Interactions. II. Numerical Methods and Results,” Physics of Plasmas 2, 4149–4160 (1995). N. J. Balmforth and P. J. Morrison, “Normal Modes and Continuous Spectra,” in Waves in Astrophysics, vol. 773, eds. J. H. Hunter and R. E. Wilson (New York Academy of Sciences, New York, 1995) pp. 80–94. C. S. Kueny and P. J. Morrison, “Nonlinear Instability and Chaos in Plasma Wave-Wave Interactions. I. Introduction,” Physics of Plasmas 2, 1926–1940 (1995).
J. L. Tennyson, J. D. Meiss, and P. J. Morrison, “Self-Consistent Chaos in the Beam-Plasma Instability,” Physica 71D, 1–17 (1994). B .A. Shadwick and P. J. Morrison, “On Neutral Plasma Oscillations,” Physics Letters A 184, 277–282 (1994).
P. J. Morrison and D. Pfirsch, “Response to Comment on ’Dielectric Energy versus Plasma Energy, and Hamiltonian Action-Angle Variables for the Vlasov Equation',” Physics of Plasmas 1, 1371–1372 (1994). P. J. Morrison, “The Energy of Perturbations for Vlasov Plasmas,” Physics of Plasmas 1, 1447–1451 (1994). P. J. Morrison and B. A. Shadwick, “Canonization and Diagonalization of an Infinite Dimensional Noncanonical Hamiltonian System: Linear Vlasov Theory,” Acta Physica Polonica A 85, 759–769 (1994). W. Horton, R. D. Bengtson, and P. J. Morrison, “Space-Time Statistics of Drift Wave Turbulence with Coherent Structures,” in Transport, Chaos and Plasma Physics, eds. D. Benkadda, F. Doveil, and Y. Elskens (World Scientific, Singapore, 1994) pp. 200–212. W. Horton, X. Su, and P. J. Morrison, “Drift Wave Vorticies in Inhomogeneous Plasmas," in Nonlinear Processes in Physics: Proceedings of the III Potsdam-V Kiev International Workshop, eds. A. Fokas, D. Kaup, A. Newell, and V. Zakharov (Springer-Verlag, Berlin, 1993) pp. 281–290. L. Ofman, P. J. Morrison, and R. S. Steinolfson, “Nonlinear Evolution of Resistive Tearing Mode Instability with Shear Flow and Viscosity,” Physics of Fluids B 5, 376–387 (1993). D. del-Castillo-Negrete and P. J. Morrison, “Chaotic Transport by Rossby Waves in Shear Flow,” Physics of Fluids A 5, 948–965 (1993). L. Ofman, P. J. Morrison, and R. S. Steinolfson, “Magnetic Reconnection at Stressed X-Type Neutral Points,” Astrophysical Journal 417, 748–756 (1993).
H. E. Kandrup and P. J. Morrison, “Hamiltonian Structure of the Vlasov-Einstein System and the Problem of Stability for Spherical Relativistic Star Clusters,” Annals of Physics 225, 114–166 (1993). D. del-Castillo-Negrete and P. J. Morrison, “Hamiltonian Chaos and Transport in Quasigeostrophic Flows,” in Research Trends in Physics: Chaotic Dynamics and Transport in Fluids and Plasmas, ed. I. Prigogine (American Institute of Physics, New York, 1992) pp. 181–207. Huanchun Ye and P. J. Morrison, “Action Principles for the Vlasov Equation,” Physics of Fluids B 4, 771–776 (1992). M. G. Prahovic’, R. D. Hazeltine and P. J. Morrison, “Exact Solutions for a System of Nonlinear Plasma Fluid Equations,” Physics of Fluids B 4, 831–840 (1992).
X. L. Chen and P. J. Morrison, “Nonlinear Interactions of Tearing Modes in the Presence of Shear Flow,” Physics of Fluids B 4, 845–854 (1992).
X. Su, W. Horton, and P. J. Morrison, “Drift Wave Vortices in Nonuniform Plasmas with Sheared Magnetic Fields,” Physics of Fluids B 4, 1238–1246 (1992). P. J. Morrison and D. Pfirsch, “Dielectric Energy versus Plasma Energy, and Hamiltonian Action-Angle Variables for the Vlasov Equation,” Physics of Fluids B 4, 3038–3057 (1992).
W. Horton, D. Lindberg, X. Su, J. Liu, and P. J. Morrison, “Numerical Simulations of Turbulence—Problem of Self-Organization,” in Theory of Fusion Plasmas: Proceedings of the Joint Varenna-Lausanne International Workshop, eds. E. Sindoni and J. Vaclavik (Societa’ Italiana di Fisica, Bologna, 1992) pp. 107–118. M. Kotschenreuther, H .L. Berk, R. Denton, S. Hamaguchi, W. Horton, C.-B. Kim, M. Lebrun, P. Lyster, S. Maha jan, W. H. Miner, P. J. Morrison, D. W. Ross, R. D. Sydora, T. Tajima, J. B. Taylor, P. M. Valanju, H. V. Wong, S. Y. Xiao, and Y.-Z. Zhang,“Novel computational techniques to predict transport in confinement devices, and applications to ion temperature gradient driven turbulence,” Plasma Physics and Controlled Nuclear Fusion Research 1990 (Proc. of the 13th Int. Conf. Wash., D.C. 1990), Vol. II, IAEA, Vienna (1991) pp. 361–366. D. Pfirsch and P. J. Morrison, “The Energy-Momentum Tensor for the Linearized Maxwell-Vlasov and Kinetic Guiding Center Theories," Physics of Fluids B 3, 271–283 (1991).
X. L. Chen and P. J. Morrison, “A Sufficient Condition for the Ideal Instability of Shear Flow with Parallel Magnetic Field,” Physics of Fluids B 3, 863–865 (1991). X. N. Su, W. Horton, and P. J. Morrison, “Drift Wave Vortices in Inhomogeneous Plasmas,” Physics of Fluids B 3, 921–930 (1991). T. Tajima, W. Horton, P. J. Morrison, J. Schutkeker, T. Kamimura, K. Mima, and Y. Abe, “Instabilities and Vortex Dynamics in Shear Flow of Magnetized Plasmas,” Physics of Fluids B 3, 938–954 (1991). L. Ofman, X. L. Chen, P. J. Morrison, and R. S. Steinolfson, “Resistive Tearing Mode Instability with Shear Flow and Viscosity,” Physics of Fluids B 3, 1364–1373 (1991). Huanchun Ye, P. J. Morrison, and J. D. Crawford, “Poisson Bracket for the Vlasov Equation on a Symplectic Leaf,” Physics Letters A 156, 96–100 (1991).
A. Brizard, T. K. Fowler, D. Hua, and P. J. Morrison, “Thermodynamic Constraints Applied to Tokamaks,” Comments on Plasma Physics 14, 263–273 (1991). I. Bialynicki-Birula and P. J. Morrison, “Quantum Mechanics as a Generalization of Nambu Dynamics to the Weyl-Wigner Formalism,” Physics Letters A 158, 453–457 (1991).
X. L. Chen and P. J. Morrison, “Resistive Tearing Instability with Equilibrium Shear Flow,” Physics of Fluids B 2, 495–507 (1990).
T. Kurki-Suonio, P. J. Morrison, and T. Tajima, “Stable Solitary Propagation of Optical Beams,” Particle Accelerators 32, 241–247 (1990). P. J. Morrison and D. Pfirsch, “The Free Energy of Maxwell-Vlasov Equilibria,” Physics of Fluids B 2, 1105–1113 (1990). P. J. Morrison and M. Kotschenreuther, “The Free Energy Principle, Negative Energy Modes and Stability,” in Nonlinear World: IV International Workshop on Nonlinear and Turbulent Processes in Physics, eds. V. G. Bar’yakhtar, V. M. Chernousenko, N. S. Erokhin, A. B. Sitenko, and V. E. Zakharov (World Scientific, Singapore, 1990) pp. 910–932. P. J. Morrison, X. N. Su, and W. Horton, “A Model for the Effects of Temperature Gradients and Magnetic Shear on the Drift Wave Monopole Solutions,” in Proceedings of Workshop of US-Japan Joint Institute for Fusion Theory Program—Structures in Confined Plasmas, ed. T. Hatori (National Institute for Fusion Science, Nagoya, Japan, 1990) (ISSN 0915–6348).
W. Horton, X. N. Su, and P. J. Morrison, “Drift Wave Vortices and Turbulent Transport,” Fiz. Plazmy 16, 969–978 (1990). Translation in: Soviet Journal of Plasma Physics 16, 562–567 (1990), by American Institute of Physics 1991. X. L. Chen and P. J. Morrison, “The Effect of Viscosity on the Resistive Tearing Mode with the Presence of Shear Flow,” Physics of Fluids B 2, 2575–2580 (1990). A. Y. Aydemir, R. D. Hazeltine, M. Kotschenreuther, J. D. Meiss, P. J. Morrison, D. W. Ross, F. L. Waelbroeck, and J. C. Wiley, “Nonlinear MHD Studies in Toroidal Geometry,” Plasma Physics and Controlled Nuclear Fusion Research 2, 131–144 (1989) (International Atomic Energy Agency publication). T. Kurki-Suonio, P. J. Morrison, and T. Tajima, “Localized Profiles of Optical Beams in Plasma,” in Advanced Accelerator Concepts, ed. C. Joshi, American Institute of Physics Conference Proceedings No. 193 (American Institute of Physics, New York, 1989) pp. 227–243. T. Kurki-Suonio, P. J. Morrison, and T. Tajima, “Self-Focusing of an Optical Beam in a Plasma,” Physical Review A 40, 3230–3239 (1989). P. J. Morrison and D. Pfirsch “Free Energy Expressions for Vlasov Equilibria,” Physical Review A 40, 3898–3910 (1989). H. Berk, H. J. Kull, and P. J. Morrison, “Wave Energy Flow Conservation in the Inhomogeneous Vlasov-Maxwell System,” Physics of Fluids B 1, 55–61 (1989).
R. D. Hazeltine, C. T. Hsu, and P. J. Morrison, “Hamiltonian Four-Field Model for Nonlinear Tokamak Dynamics,” Physics of Fluids 30, 3204–3211 (1987). M. Kotschenreuther, A. Y. Aydemir, R. Carrera, R. D. Hazeltine, J. D. Meiss, and P. J. Morrison, “Nonlinear Toroidal Plasma Dynamics by Reduced Fluid Models,” Plasma Physics and Controlled Nuclear Fusion Research 2, 149–155 (1987) (International Atomic Energy Agency publication). P. J. Morrison, “Variational Principle and Stability of Nonmonotonic Vlasov-Poisson Equilibria,” Zeitschrift für Naturforschung a 42, 1115–1123 (1987).
P. J. Morrison, “A Paradigm for Joined Hamiltonian and Dissipative Systems,” Physica D 18, 410–419 (1986). P. J. Morrison and S. Eliezer, “Spontaneous Symmetry Breaking and Neutral Stability in the Noncanonical Hamiltonian Formalism,” Physical Review A 33, 4205–4214 (1986). J. E. Marsden, R. Montgomery, P. J. Morrison, and W. B. Thompson, “Covariant Poisson Brackets for Classical Fields,” Annals of Physics 169, 29–47 (1986). R. D. Hazeltine, J. D. Meiss, and P. J. Morrison, “Analytic Theory of the Nonlinear m = 1 Tearing Mode,” Physics of Fluids 29, 1633–1640 (1986). C. T. Hsu, R. D. Hazeltine, and P. J. Morrison, “A Generalized Reduced Fluid Model with Finite Ion-Gyroradius Effects,” Physics of Fluids 29, 1480–1487 (1986). H. L. Berk, J. P. Freidberg, X. Llobet, P. J. Morrison, and J. A. Tataronis, “Existence and Calculation of Sharp Boundary MHD Equilibrium in Three-Dimensional Toroidal Geometry,” Physics of Fluids 29, 3281–3290 (1986). R. D. Hazeltine, M. Kotschenreuther, and P. J. Morrison, “Erratum/Addendum: Four-Field Model for Tokamak Plasma Dynamics,” Physics of Fluids 29, 341 (1986). M. Kotschenreuther, R. D. Hazeltine, and P. J. Morrison, “Nonlinear Dynamics of Magnetic Islands with Curvature and Pressure,” Physics of Fluids 28, 294–302 (1985).
M. Kotschenreuther, A. Y. Aydemir, D. C. Barnes, J. R. Cary, J. D. Hanson, R. D. Hazeltine, and P. J. Morrison, “Magnetic Islands in Toroidally Confined Plasmas,” Plasma Physics and Controlled Nuclear Fusion Research 2, 223–230 (1985) (International Atomic Energy Agency publication.) R. D. Hazeltine, M. Kotschenreuther, and P. J. Morrison, “A Four-Field Model for Tokamak Plasma Dynamics,” Physics of Fluids 28, 2466–2477 (1985). D. Pfirsch and P. J. Morrison, “Local Conservation Laws for the Maxwell-Vlasov and Collisionless Guiding-Center Theories,” Physical Review A 32, 1714–1721 (1985). R. D. Hazeltine, D. D. Holm, and P. J. Morrison, “Electromagnetic Solitary Waves in Magnetized Plasmas,” Journal of Plasma Physics 34, 103–114 (1985). D. E. Hastings, R. D. Hazeltine, and P. J. Morrison, “Ambipolarons: Solitary Wave Solutions for the Radial Electric Field in a Plasma,” Physics of Fluids 29, 69–75 (1985). P. J. Morrison, J. D. Meiss, and J. R. Cary, “Scattering of Regularized Long-Wave Solitary Waves,” Physica D 11, 324–336 (1984). J. E. Marsden and P. J. Morrison, “Noncanonical Hamiltonian Field Theory and Reduced MHD,” Contemporary Mathematics 28, 133–150 (1984). J. E. Marsden, P. J. Morrison, and A. Weinstein, “The Hamiltonian Structure of the BBGKY Hierarchy Equations,” Contemporary Mathematics 28, 115–124 (1984). P. J. Morrison and R. D. Hazeltine, "Hamiltonian Formulation of Reduced Magnetohydrodynamics," Physics of Fluids 27, 886–897 (1984). P. J. Morrison, “Bracket Formulation for Irreversible Classical Fields,” Physics Letters A 100, 423–427 (1984). R. D. Hazeltine, D. D. Holm, J. E. Marsden, and P. J. Morrison, “Generalized Poisson Brackets and Nonlinear Liapunov Stability-Application to Reduced MHD,” in International Conference on Plasma Physics Proceedings 1, eds. M.Q. Tran and M.L. Sawley, (Ecole Polytechnique Federale de Lausanne, Lausanne, 1984) p. 203. P. J. Morrison, I. L. Caldas, and H. Tasso, “Hamiltonian Formulation of Two-Dimensional Gyroviscous MHD,” Zeitschrift für Naturforschung a 39, 1023–1027 (1984). J. D. Meiss and P. J. Morrison, “Nonlinear Electron Landau Damping of Ion-Acoustic Solitons,” Physics of Fluids 26, 983–989 (1983). P. J. Morrison, “Poisson Brackets for Fluids and Plasmas,” in Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems, eds. M. Tabor and Y. Treve, American Institute of Physics Conference Proceedings No. 88 (American Institute of Physics, New York, 1982) pp. 13–46. A. N. Kaufman and P. J. Morrison, “Algebraic Structure of the Plasma Quasilinear Equations,” Physics Letters A 88, 405–406 (1982). P. J. Morrison and J. M. Greene, “Addendum: Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics,” Physical Review Letters 48, 569 (1982). A. Weinstein and P. J. Morrison, “Comments on the Maxwell-Vlasov Equations as a Continuous Hamiltonian System,” Physics Letters A 86, 235–236 (1981). P. J. Morrison, “The Maxwell-Vlasov Equations as a Continuous Hamiltonian System,” Physics Letters A 80, 383–386 (1980). P. J. Morrison and J. M. Greene, “Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics,” Physical Review Letters 45, 790–794 (1980); 48, 569 (1982). D. A. Mendis and P. J. Morrison, “On the Size of the Cometary Tail Magnetic Field,” Monthly Notices of the Royal Astronomical Society 188, 727–733 (1979). P. J. Morrison and D. A. Mendis, “On the Fine Structure of Cometary Plasma Tails,” Astrophysical Journal 226, 350–354 (1978). P. J. Morrison, W. B. Thompson, and P. R. Williamson, “Current Collection by a Long Wire in Near-Earth Orbit,” IEEE Transactions on Plasma Science, PS-6, 435–441 (1978).