From virtual work principle to least action principle for stochastic dynamics

Qiuping A. Wang (1)

1 ISMANS CESI - Institut Supérieur des Mécaniques et Matériaux Avancés

After the justification of the maximum entropy principle for equilibrium mechanical system from the principle of virtual work, i.e., the virtual work of microscopic forces on the elements of a mechanical system vanishes in thermodynamic equilibrium, we present in this paper an application of the same principle to dynamical systems out of equilibrium. The aim of this work is to justify a least action principle and the concurrent maximum path entropy principle for nonequilibrium thermodynamic systems.

Mots clés: virtual work principle; least action principle; nonequilibrium; amximum entropy

Domaines: Mécanique statistique [cond-mat.stat-mech]

Qiuping A. Wang. From virtual work principle to least action principle for stochastic dynamics. 2007. ⟨hal-00141482v3⟩