Statistical equilibrium dynamics

DOI10.1063/1.2839133zbMATH Open1453.82026arXiv0711.4806OpenAlexW1707525374MaRDI QIDQ5118767

Michael K.-H. Kiessling

Publication date: 26 August 2020

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Abstract: The mean-field thermodynamic limit is studied for a class of isolated Newtonian N-body systems whose Hamiltonian admits several invariants of motion. It is shown that the macrostates of individual members of a statistical equilibrium ensemble are not necessarily themselves in a state of global thermal equilibrium in the strict sense. Yet they are always locally in thermodynamic equilibrium, and always global maximizers of the pertinent maximum entropy principle.

Full work available at URL: https://arxiv.org/abs/0711.4806

zbMATH Keywords

plasma modelsmaximum entropy solutionsmean-field thermodynamic limitNewtonian \(N\)-body systems

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Statistical mechanics of plasmas (82D10) Statistical thermodynamics (82B30)

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