On the Second Law of Thermodynamics and the Piston Problem

被引:0
作者
Christian Gruber
Séverine Pache
Annick Lesne
机构
[1] Polytechnique Fédérale de Lausanne,Institut de Théorie des Phénomènes Physiques, Ecole
[2] Université Pierre et Marie Curie,Laboratoire de Physique Théorique des Liquides
来源
Journal of Statistical Physics | 2004年 / 117卷
关键词
Nonequilibrium; thermodynamics; entropy; entropy production; piston; similarity flow;
D O I
暂无
中图分类号
学科分类号
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
收藏
页码:739 / 772
页数:33
相关论文
共 48 条
[1]  
Gruber C.(1999)Thermodynamics of systems with internal adiabatic constraints: time evolution of the adiabatic piston Eur. J. Phys. 20 259-266
[2]  
Piasecki J.(1999)From the adiabatic piston to macroscopic motion induced by fluctuations Physica A 265 463-472
[3]  
Gruber C.(1999)Stationary motion of the adiabatic piston Physica A 268 412-701
[4]  
Gruber C.(1999)On the adiabatic properties of a stochastic adiabatic wall: evolution, stationary non-equilibrium and equilibrium states Physica A 272 392-84
[5]  
Piasecki J.(2002)Deterministic motion of the controversial piston in the thermodynamic limit J. Stat. Phys. 108 669-527
[6]  
Gruber C.(2002)The controversial piston in the thermodynamic limit Physica A 314 345-485
[7]  
Frachebourg L.(2002)Strong and weak damping in the adiabatic motion of the simple piston J. Stat. Phys. 10 29-1244
[8]  
Gruber C.(2003)Dynamics of a massive piston in an ideal gas Russ. Math. Surveys 57 1-270
[9]  
Pache S.(2002)Dynamics of a massive piston in an ideal gas: oscillatory motion and approach to equilibrium J. Stat. Phys. 109 507-322
[10]  
Lesne A.(2002)A model of Brownian motion in an inhomogeneous environment J. Phys. Cond. Matter 14 1-99