A Micro-Thermodynamic Formalism

Details A Micro-Thermodynamic Formalism A Micro-Thermodynamic Formalism

2002-01-30

arxiv.org/abs/nlin/0201062v1

Phys Rev E, vol 64 no 5, 055101 (4 pages) 2001

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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.

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