2002/01/30 by Hans Henrik Rugh
Physics and Astronomy · #nlin.CD
published as Phys Rev E, vol 64 no 5, 055101 (4 pages) 2001
arxiv created 2002/01/30 · arxiv updated 2009/11/30
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.