A Micro-Thermodynamic Formalism
Chaotic Dynamics
2007-05-23 v1
Abstract
We consider the micro-canonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a 1st law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, S. Under an ergodic hypothesis, S is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the micro-canonical ensemble itself.
Cite
@article{arxiv.nlin/0201062,
title = {A Micro-Thermodynamic Formalism},
author = {Hans Henrik Rugh},
journal= {arXiv preprint arXiv:nlin/0201062},
year = {2007}
}