P. J. Morrison
Professor of Physics
Research Scientist
Institute for Fusion Studies
PUBLICATIONS
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,” submitted May (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 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,” submitted January (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 376A, 737–743 (2012).
Z. Yoshida, P. J. Morrison, and F. Dobarro, “Singular Casimir Elements of the Euler Equation and Equilibrium Points,” submitted July (2011).
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,” submitted February (2011).
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 375A, 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 84D, 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 240D, 1652–1660 (2011).
G. R. Flierl and P. J. Morrison, “Hamiltonian-Dirac Simulated Annealing: Application to the Calculation of Vortex States,” Physica 240D, 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 (2011).
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 366A, 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 200D, 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, “Electron Thermal 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. 99.
Jean-Luc Thiffeault and P. J. Morrison, “The Twisted Top,” Physics Letters 283A, 335–341 (2001). J. C. Bowman, B. A. Shadwick, and P. J. Morrison, “Numerical Challanges 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 136D, 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).
J. C. Bowman, B. A. Shadwick, 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 52a, 9–12 (1997). Reissue of 1991 paper. D. del-Castillo-Negrete, J. M. Greene, and P. J. Morrison, “Area Preserving Non-twist Maps: Periodic Orbits and Transition to Chaos,” Physica 91D, 1–23 (1996). N. Padhye and P. J. Morrison, “Fluid Element Relabeling Symmetry,” Physics Letters 219A, 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 184A, 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 Hamiltonian System: Linear Vlasov Theory,” Acta Physica Polonica 85A, 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 4B, 376–387 (1993). D. del-Castillo-Negrete and P. J. Morrison, “Chaotic Transport by Rossby Waves in Shear Flow,” Physics of Fluids 5A, 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 4B, 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 4B, 831–840 (1992).
X. L. Chen and P. J. Morrison, “Nonlinear Interactions of Tearing Modes in the Presence of Shear Flow,” Physics of Fluids 4B, 845–854 (1992).
X. Su, W. Horton, and P. J. Morrison, “Drift Wave Vortices in Nonuniform Plasmas with Sheared Magnetic Fields,” Physics of Fluids 4B, 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 4B, 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 3B, 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 3B, 863–865 (1991). X. N. Su, W. Horton, and P. J. Morrison, “Drift Wave Vortices in Inhomogeneous Plasmas,” Physics of Fluids 3B, 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 3B, 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 3B, 1364–1373 (1991). Huanchun Ye, P. J. Morrison, and J. D. Crawford, “Poisson Bracket for the Vlasov Equation on a Symplectic Leaf,” Physics Letters 156A, 96–100 (1991).
A. Brizzard, 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 158A, 453–457 (1991).
X. L. Chen and P. J. Morrison, “Resistive Tearing Instability with Equilibrium Shear Flow,” Physics of Fluids 2B, 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 2B, 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 2B, 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. Ta jima, “Profiles of a Self-Focused Optical Beam in a Plasma,” Physical Review 40A, 3230–3239 (1989). P. J. Morrison and D. Pfirsch “Free Energy Expressions for Vlasov-Maxwell Equilibria,” Physical Review 40A, 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 1B, 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 42a, 1115–1123 (1987).
P. J. Morrison, “A Paradigm for Joined Hamiltonian and Dissipative Systems,” Physica 18D, 410–419 (1986). P. J. Morrison and S. Eliezer, “Spontaneous Symmetry Breaking and Neutral Stability in the Noncanonical Hamiltonian Formalism,” Physical Review 33A, 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). 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 32A, 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 11D, 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, “Hamiltonian Structure of the BBGKY 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 100A, 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 39a, 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 88A, 405–406 (1982). A. Weinstein and P. J. Morrison, “Comments on the Maxwell-Vlasov Equations as a Continuous Hamiltonian System,” Physics Letters 86A, 235–236 (1981). P. J. Morrison, “The Maxwell-Vlasov Equations as a Continuous Hamiltonian System,” Physics Letters 80A, 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).