Solution of Fokker Planck equations with and without manifest detailed balance
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Abstract
Previous work on Fokker Planck equations with manifest detailed balance is generalized to include also the case without manifest detailed balance. The two cases are unified by exhibiting a general time reversal transformation with respect to which any Fokker Planck equation satisfies detailed balance, provided its steady state distribution exists. We also introduce a new method for solving some Fokker Planck equations with nonvanishing steady state drift by analytic continuation of the solution of a hermitian eigenvalue problem.
Keywords
Spectroscopy Neural Network Steady State State Physics Complex System
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References
- 1.Groot, S.R. De, Mazur, P.: Non equilibrium thermodynamics. Amsterdam: North Holland 1962Google Scholar
- 2.Graham, R. Haken, H.: Z. Physik243, 289 (1971);245, 141 (1971)Google Scholar
- 3.Risken, H.: Z. Physik251, 231 (1972)Google Scholar
- 4.Graham, R.: Springer Tracts in Modern Physics. Vol. 66. Berlin, Heidelberg, New York: Springer 1973Google Scholar
- 5.Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions. Dover, New York: 1965Google Scholar
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