Statistical Mechanics of finite arrays of coupled bistable elements

Details Statistical Mechanics of finite arrays of coupled bistable elements Statistical Mechanics of finite arrays of coupled bistable elements

2009-05-11

arxiv.org/abs/0905.1564v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We discuss the equilibrium of a single collective variable characterizing a finite set of coupled, noisy, bistable systems as the noise strength, the size and the coupling parameter are varied. We identify distinct regions in parameter space. The results obtained in prior works in the asymptotic infinite size limit are significantly different from the finite size results. A procedure to construct approximate 1-dimensional Langevin equation is adopted. This equation provides a useful tool to understand the collective behavior even in the presence of an external driving force.

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