On the second law of thermodynamics and the piston problem

被引：7

作者：

Gruber, C ^{[1
]}

Pache, S

Lesne, A

机构：

[1] Ecole Polytech Fed Lausanne, Inst Theorie Phenomenes Phys, CH-1015 Lausanne, Switzerland

[2] Univ Paris 06, Phys Theor Liquides Lab, F-75252 Paris 05, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2004年 / 117卷 / 3-4期

关键词：

nonequilibrium; thermodynamics; entropy; entropy production; piston; similarity flow;

D O I：

10.1007/s10955-004-2271-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 in a previous work, 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.

引用

页码：739 / 772

页数：34

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