Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-12-13
Physics
Condensed Matter
Statistical Mechanics
29 pages, 9 figures submitted to Journal of Statistical Physics (2003)
Scientific paper
10.1007/s10955-004-2271-y
The piston problem is investigated in the case where the length of the cylinder is infinite (on both sides) and the ratio $m/M$ is a very small parameter, where $m$ is the mass of one particle of the gaz and $M$ is the mass of the piston. Introducing initial conditions such that the stochastic motion of the piston remains in the average at the origin (no drift), it is shown that the time evolution of the fluids, analytically derived from Liouville equation, agrees with the Second Law of thermodynamics. We thus have a non equilibrium microscopical model whose evolution can be explicitly shown to obey the two laws of thermodynamics.
Gruber Ch.
Lesne Annick
Pache Séverine
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