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Finite correlation time effects in nonequilibrium phase transitions

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  • Lindenberg, Katja
  • West, Bruce J.

Abstract

We determine an approximate renormalized equation of evolution for an arbitrary nonlinear single-degree-of-freedom system externally driven by Gaussian parametric fluctuations of finite correlation time. The renormalization scheme used here gives a second order equation with a time-and-state-dependent “diffusion coefficient”. We are able to calculate the diffusion coefficient in closed form. The steady-state distribution can easily be obtained from the evolution equation. We are thus able to determine the parameter dependence of the steady-state distribution and, in particular, the influence of a correlation time of the fluctuations, which does not vanish, on the steady-state distribution.

Suggested Citation

  • Lindenberg, Katja & West, Bruce J., 1983. "Finite correlation time effects in nonequilibrium phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(3), pages 485-503.
    • Handle: RePEc:eee:phsmap:v:119:y:1983:i:3:p:485-503
    DOI: 10.1016/0378-4371(83)90104-8
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