Generalized Boltzmann equation for lattice gas automata.

DOI10.1007/BF02180141zbMath1080.82575arXivcomp-gas/9404002OpenAlexW3100716934MaRDI QIDQ1593215

M. H. Ernst, James W. Dufty, Harmen J. Bussemaker

Publication date: 16 January 2001

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

Full work available at URL: https://arxiv.org/abs/comp-gas/9404002

zbMATH Keywords

BBGKY hierarchylattice gas automatalack of detailed balancenon-Gibbs statesstatic pair correlations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (5)

Period Focusing Induced by Network Feedback in Populations of Noisy Integrate-and-Fire Neurons ⋮ Renormalized equilibria of a Schlögl model lattice gas ⋮ Algebraic spatial correlations in lattice gas automata violating detailed balance ⋮ Self-diffusion in simple models: Systems with long-range jumps ⋮ Theory of diffusion-limited oscillating chemical reactions

Cites Work

• Low-viscosity lattice gases
• Stress-stress correlation functions in lattice gases beyond Boltzmann's approximation
• Lattice gases with static disorder: Renormalization of mean field theory
• Lattice-gas and lattice-Boltzmann models of miscible fluids
• Biased lattice gases with correlated equilibrium states
• Collective diffusion in a lattice gas automaton
• Basis of the Functional Assumption in the Theory of the Boltzmann Equation

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