Is there least action principle in stochastic dynamics?

Qiuping A. Wang (1)

1 ISMANS CESI - Institut Supérieur des Mécaniques et Matériaux Avancés

On the basis of the work showing that the maximum entropy principle for equilibrium mechanical system is a consequence of the principle of virtual work, i.e., the virtual work of random forces on a mechanical system should vanish in thermodynamic equilibrium, we present in this paper a development of the same principle for the dynamical system out of equilibrium. One of the objectives of the present work is to justify a least action principle we postulated previously for stochastic mechanical systems.

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

Qiuping A. Wang. Is there least action principle in stochastic dynamics?. 2007. ⟨hal-00141482v1⟩