Second Law in Classical Non-Extensive Systems

Details Second Law in Classical Non-Extensive Systems Second Law in Classical Non-Extensive Systems

2002-09-19

arxiv.org/abs/cond-mat/0209467v1

AIP Conf.Proc. 643 (2003) 131-136

Physics

Condensed Matter

Statistical Mechanics

Latex, 6 pages, 1 figure, presented at the First International Conference on Quantum Limits to the Second Law, San Diego 2002

Scientific paper

Equilibrium statistics of Hamiltonian systems is correctly described by the microcanonical ensemble, whereas canonical ones fail in the most interesting, mostly inhomogeneous, situations like phase separations or away from the thermodynamic ``limit'' (e.g. self-gravitating systems and small quantum systems). A new derivation of the Second Law is presented that respects these fundamental complications. Our ``geometric foundation of Thermo-Statistics'' opens the fundamental (axiomatic) application of Thermo-Statistics to non-diluted systems or to ``non-simple'' systems which are not similar to (homogeneous) fluids. Supprisingly, but also understandably, a so far open problem c.f. Uffink: cond-mat/0005327, page 50 and page 72.

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