Aspects of stochastic resonance in reaction-diffusion systems: The nonequilibrium-potential approach

Details Aspects of stochastic resonance in reaction-diffusion systems: The nonequilibrium-potential approach Aspects of stochastic resonance in reaction-diffusion systems: The nonequilibrium-potential approach

2007-04-09

arxiv.org/abs/0704.1148v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 15 figures, uses svjour.cls and svepj-spec.clo. Minireview to appear in The European Physical Journal Special Topics

Scientific paper

10.1140/epjst/e2007-00173-0

We analyze several aspects of the phenomenon of stochastic resonance in reaction-diffusion systems, exploiting the nonequilibrium potential's framework. The generalization of this formalism (sketched in the appendix) to extended systems is first carried out in the context of a simplified scalar model, for which stationary patterns can be found analytically. We first show how system-size stochastic resonance arises naturally in this framework, and then how the phenomenon of array-enhanced stochastic resonance can be further enhanced by letting the diffusion coefficient depend on the field. A yet less trivial generalization is exemplified by a stylized version of the FitzHugh-Nagumo system, a paradigm of the activator-inhibitor class. After discussing for this system the second aspect enumerated above, we derive from it -through an adiabatic-like elimination of the inhibitor field- an effective scalar model that includes a nonlocal contribution. Studying the role played by the range of the nonlocal kernel and its effect on stochastic resonance, we find an optimal range that maximizes the system's response.

Affiliated with

Also associated with

No associations

Rating

Aspects of stochastic resonance in reaction-diffusion systems: The nonequilibrium-potential approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Aspects of stochastic resonance in reaction-diffusion systems: The nonequilibrium-potential approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aspects of stochastic resonance in reaction-diffusion systems: The nonequilibrium-potential approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-206889