Growth of fluctuations from a marginal equilibrium

B. Caroli, C. Caroli and B. Roulet

Physica A: Statistical Mechanics and its Applications, 1980, vol. 101, issue 2, 581-587

Abstract: We consider a stochastic one-variable system obeying a Fokker-Planck equation with a potential exhibiting a point of marginal equilibrium. We analyze the growth of fluctuations for an initial distribution concentrated at this point, and in the limit of small diffusion coefficient θ, with the help of the WKB approximation. We find that, in distinction with the Suzuki Log(1/θ) behaviour characteristic of a quadratic equilibrium point, the characteristic growth-time scales with θ as θ-13.

Date: 1980
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:101:y:1980:i:2:p:581-587

DOI: 10.1016/0378-4371(80)90196-X

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