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Covariant lagrangian of Onsager and Machlup without discretization

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  • Zambrini, J.-Cl.

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.

Suggested Citation

  • Zambrini, J.-Cl., 1980. "Covariant lagrangian of Onsager and Machlup without discretization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(3), pages 496-511.
    • Handle: RePEc:eee:phsmap:v:102:y:1980:i:3:p:496-511
    DOI: 10.1016/0378-4371(90)90179-V
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    1. Roberto Guerra, 1978. "Current Contents' “weekly subject index” as a post‐coordinate index," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 29(1), pages 47-47, January.
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