The Liouville theorem and accurate plasma simulation

DOI10.1016/0021-9991(87)90169-0zbMath0622.76134OpenAlexW1971201808MaRDI QIDQ1091231

Karl J. Melendez, H. Ralph Lewis, D. C. Barnes

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90169-0

zbMATH Keywords

Hamiltonian structureinitial-value problemcontinuum of particlesVlasov-Poisson systemInstabilitiescold two-stream instabilityparticle-in-cell procedurethree simulation methods

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Basic methods in fluid mechanics (76M99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Classical field theories (70Sxx)

Related Items (10)

Incursive discretization, system bifurcation, and energy conservation ⋮ Optimal four-stage symplectic integrators for molecular dynamics problems ⋮ Higher-order symplectic integration techniques for molecular dynamics problems ⋮ Variational formulation of particle algorithms for kinetic plasma simulations ⋮ A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver ⋮ Method of molecular dynamics in mechanics of deformable solids ⋮ An efficient method of finding new symplectic schemes for Hamiltonian mechanics problems with the aid of parametric Gröbner bases ⋮ Numerically induced stochasticity ⋮ Long-time behaviour of numerically computed orbits: Small and intermediate timestep analysis of one-dimensional systems ⋮ The use of Hamilton's principle to derive time-advance algorithms for ordinary differential equations

Cites Work

• Convergence of stochastic orbit computations
• A resonance formulation for invariants of particle motion in a one- dimensional time-dependent potential
• Some properties of the discrete Hamiltonian method
• Computation of Fourier integrals of exponentials of truncated Fourier series
• Rational functions of momentum as invariants for one-dimensional, time-dependent potentials: Two- and three-resonance cases

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