Asymptotic solutions of Fokker-Planck equations for nonlinear irreversible processes and generalized Onsager-Machlup theory

Byung Chan Eu

Physica A: Statistical Mechanics and its Applications, 1978, vol. 90, issue 2, 288-302

Abstract: Fokker-Planck equations for nonlinear processes are solved asymptotically in the limit k→0 where k is the Boltzmann constant. It is shown that the leading asymptotic solutions for conditional (two-gate) distribution functions simply correspond to generalizations of the Onsager-Machlup theory to nonlinear processes. The asumptotic solution method used in the paper is similar to the well-known W.K.B. method in quantum mechanics. A stability criterion of nonlinear irreversible processes is also considered and compared with the Glansdorff-Prigogine stability criterion.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:90:y:1978:i:2:p:288-302

DOI: 10.1016/0378-4371(78)90115-2

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