Thermodynamic Explanation of Landau Damping by Reduction to Hydrodynamics
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[1] C. Villani. Particle systems and nonlinear Landau dampinga) , 2014 .
[2] Miroslav Grmela,et al. Hamiltonian and Godunov structures of the Grad hierarchy. , 2016, Physical review. E.
[3] Alexander N. Gorban,et al. Irreversibility in the short memory approximation , 2003 .
[4] O. Esen,et al. Geometry ofplasma dynamics II: Lie algebra of Hamiltonian vector fields , 2012 .
[5] M. Grmela,et al. A hierarchy of Poisson brackets in non-equilibrium thermodynamics , 2015, 1512.08010.
[6] H. Callen,et al. Thermodynamics : an introduction to the physical theories of equilibrium thermostatics and irreversible thermodynamics. , 1966 .
[7] C. Villani. PARTICLE SYSTEMS AND NONLINEAR LANDAU DAMPING , 2013 .
[8] Sang Joon Kim,et al. A Mathematical Theory of Communication , 2006 .
[9] Miroslav Grmela,et al. Reductions and extensions in mesoscopic dynamics. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.
[10] P. Morrison,et al. Hamiltonian closures for fluid models with four moments by dimensional analysis , 2015, 1502.04639.
[11] M. Grmela,et al. Landau damping in the multiscale Vlasov theory , 2017, 1703.04577.
[12] R. Zwanzig. Nonequilibrium statistical mechanics , 2001, Physics Subject Headings (PhySH).
[13] J. Marsden,et al. Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids , 1983 .
[14] Lev Davidovich Landau,et al. On the vibrations of the electronic plasma , 1946 .
[15] Miroslav Grmela,et al. Time reversal in nonequilibrium thermodynamics. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[16] P. Mazur,et al. Hydrodynamics for an ideal fluid: Hamiltonian formalism and Liouville-equation , 1981 .
[17] Y. Levin,et al. Nonequilibrium statistical mechanics of systems with long-range interactions , 2013, 1310.1078.
[18] I. Oppenheim. Beyond Equilibrium Thermodynamics , 2006 .
[19] P. Gibbon,et al. Introduction to Plasma Physics , 2017, 2007.04783.
[20] K. Kormann,et al. GEMPIC: geometric electromagnetic particle-in-cell methods , 2016, Journal of Plasma Physics.
[21] Ernst Hairer,et al. Simulating Hamiltonian dynamics , 2006, Math. Comput..
[22] James Jeans,et al. The stability of a spherical Nebula , 1901, Proceedings of the Royal Society of London.
[23] P. Morrison,et al. Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics. , 1980 .
[24] P. Morrison,et al. Higher order Hamiltonian fluid reduction of Vlasov equation , 2014, 1403.2614.
[25] Y. Levin,et al. Entropy production in systems with long range interactions , 2017, 1707.00761.
[26] Alexander N Gorban,et al. Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[27] Jerrold E. Marsden,et al. The Hamiltonian structure of the Maxwell-Vlasov equations , 1982 .
[28] E. Jaynes. Foundations of Probability Theory and Statistical Mechanics , 1967 .
[29] Cl'ement Mouhot,et al. On Landau damping , 2009, 0904.2760.
[30] H. Grad. Principles of the Kinetic Theory of Gases , 1958 .
[31] Swen Kortig,et al. Differential Geometry And Lie Groups For Physicists , 2016 .