Abstract
Practical methods are developed to analyze the steady state probability distributions of dynamical Fokker-Planck models without manifest detailed balance in the limit of small noise. We consider two different models, whose deterministic attractor is a fixed point at the origin, and construct the leading terms of systematic expansions in various small parameters of the “non-equilibrium potential” and the stationary probability distribution of the models.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Haken, H.: Rev. Mod. Phys.47, 67 (1975)
Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)
Kampen, N.G. van: Stochastic Processes in Physics and Chemistry. Amsterdam: North-Holland Publishing Company 1981
Graham, R., Haken, H.: Z. Phys.243, 289 (1971);245, 141 (1972)
Graham, R.: Z. Phys. B-Condensed Matter40, 149 (1980)
Risken, H., Vollmer, H.D.: Z. Phys. B-Condensed Matter33, 297 (1979)
Graham, R., Schenzle, A.: Phys. Rev. A23, 1302 (1981)
Schmidt, H.E., Koch, S.W., Haug, H.: Preprint
Graham, R., Tél, T.: (to be published)
Hellwig, D.: Thesis (1982)
Graham, R., Tél, T.: (to be published)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Graham, R., Schenzle, A. Non-equilibrium potentials and stationary probability distributions of some dissipative models without manifest detailed balance. Z. Physik B - Condensed Matter 52, 61–68 (1983). https://doi.org/10.1007/BF01305899
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01305899