Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979483 | Physica A: Statistical Mechanics and its Applications | 2007 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Iu.V. Gudyma, O.M. Semenko,