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Growth of fluctuations from a marginal equilibrium

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  • Caroli, B.
  • Caroli, C.
  • Roulet, B.

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.

Suggested Citation

  • Caroli, B. & Caroli, C. & Roulet, B., 1980. "Growth of fluctuations from a marginal equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 581-587.
  • Handle: RePEc:eee:phsmap:v:101:y:1980:i:2:p:581-587
    DOI: 10.1016/0378-4371(80)90196-X
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    Cited by:

    1. Borgis, D. & Moreau, M., 1984. "On the stochastic theory of a bistable chemical reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 109-130.
    2. Frankowicz, M. & Malek Mansour, M. & Nicolis, G., 1984. "Stochastic analysis of explosive behaviour: A qualitative approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(1), pages 237-246.

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