A Cooperation between Fluctuations and Spatial Coupling for Two Symmetry-Breakings in a Gradient System

Abstract

A zero-dimensional system that is affected by the field´s dependent fluctuations evolves toward field´s values in which the fluctuations´ effect is minimized. For a high enough noise intensity, it causes an exchange of roles between the stable and unstable state. In this paper, we reported symmetry-breaking in two stable states, but one of them stabilized by the fluctuations while exchanging its role with a previously stable state.