Motivated from recent extensive studies of critical fluctuations of dynamical events in glassy systems, we study relaxation events to the stable state in a simple stochastic reaction diffusion system. We demonstrate that at the onset of a saddle node bifurcation, the pattern exhibits the “critical nature” at some time starting from a spatially homogeneous state. We also calculate the exponents characterizing the criticality (almost) exactly. The relevance to studies of glassy systems is briefly discussed.

Université de Tokyo