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

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  • Chan Eu, Byung

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.

Suggested Citation

  • Chan Eu, Byung, 1978. "Asymptotic solutions of Fokker-Planck equations for nonlinear irreversible processes and generalized Onsager-Machlup theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(2), pages 288-302.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:2:p:288-302
    DOI: 10.1016/0378-4371(78)90115-2
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