Effective potential and weak noise transitions. (English) Zbl 1042.82596
Summary: We review the notion of effective potential for stochastic processes and discuss its possible applications. We calculate this function up to first order in a parameter measuring the intensity of the noise for a general nonlinear system. The result is applied exhibiting a transition induced by weak noise.
MSC:
| 82C31 | Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics |
Keywords:
Effective potential; noise-induced transitions; weak noise transitions; stochastic processesReferences:
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