Nonlocal Lagrange formalism in the thermodynamics of irreversible processes: variational procedures for kinetic equations

B. Sievers and K.-H. Anthony

Physica A: Statistical Mechanics and its Applications, 1996, vol. 225, issue 1, 89-128

Abstract: This paper is concerned with generalizations of the known local Lagrange formalism of first order. It will be applied to kinetic equations like the Fokker-Planck equation and the Boltzmann equation. In the latter case nonlocal methods are necessary from the very beginning. Nevertheless, in the framework of Fréchet's formalism the calculations are as easy as in the classical local case.

Keywords: Nonlocal field theory; Lagrange formalism; Kinetic theory; Boltzmann equation; Fokker-Planck equation; Fréchet derivative; Thermodynamics; Irreversible processes; Variational procedure; Hamilton's principle (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:225:y:1996:i:1:p:89-128

DOI: 10.1016/0378-4371(95)00386-X

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