Covariant lagrangian of Onsager and Machlup without discretization

J.-Cl. Zambrini

Physica A: Statistical Mechanics and its Applications, 1980, vol. 102, issue 3, 496-511

Abstract: A well defined notion of generalized Onsager-Machlup Lagrangian in the covariant formalism of general diffusion processes is obtained without any discretization procedure. Main ideas are to clarify some basic links between the conventional Fokker-Planck description and a Schrödingerlike description, and to exploit afterwards the well established path integral formalism of quantum mechanics. The first step is realized with the help of a modified version of Nelson's stochastic mechanics, that is, “thermal mechanics”, which seems well adapted to nonequilibrium statistical thermodynamics. A natural notion of deterministic approximation for the general diffusion process is also obtained in the present framework.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:102:y:1980:i:3:p:496-511

DOI: 10.1016/0378-4371(90)90179-V

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