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Statistical Equilibrium Dynamics

Mathematical Physics 2009-11-13 v2 math.MP

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.

Keywords

Cite

@article{arxiv.0711.4806,
  title  = {Statistical Equilibrium Dynamics},
  author = {Michael K. -H. Kiessling},
  journal= {arXiv preprint arXiv:0711.4806},
  year   = {2009}
}

Comments

Minor slips of pen have been corrected compared to the version published in the proceedings of the workshop "Dynamics and Thermodynamics of Systems with Long Range Interactions: Theory and Experiment," Assisi, Italy, 2007; A. Campa, A. Giansanti, G. Morigi, F. Sylos Labini (Eds.). See http://scitation.aip.org/dbt/dbt.jsp?KEY=APCPCS&Volume=970&Issue=1

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