Noise-induced coupling and phase transition in initially homogeneous bistable system

Iu.V. Gudyma and O.M. Semenko

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 1, 47-53

Abstract: We show that a colored spatial noise induces a heterogeneous behavior and coupling of initially uncoupled single bistable units. A formal approximation reduces a non-Markovian stochastic process described by the initial set of equations into Markovian process in terms of Langevin equation, for which a simple piecewise linear emulation was used to represent the nonlinear deterministic force. It turned out that the coupling leads to a phase transition due to the noise-induced diffusive term. As an example, a typical bistable noisy system with symmetric double-well potential was studied.

Keywords: Colored spatial noise; Coupling; Phase transition (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:1:p:47-53

DOI: 10.1016/j.physa.2007.08.013

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