Finite correlation time effects in nonequilibrium phase transitions

Katja Lindenberg and Bruce J. West

Physica A: Statistical Mechanics and its Applications, 1983, vol. 119, issue 3, 485-503

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.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:119:y:1983:i:3:p:485-503

DOI: 10.1016/0378-4371(83)90104-8

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