G. Izus et al., EFFECT OF PARTIALLY REFLECTING BOUNDARY-CONDITIONS ON THE DECAY OF METASTABLE REST STATES IN AN ACTIVATOR-INHIBITOR SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 4005-4011
We study the effect of the boundary conditions on the spontaneous nucl
eation and evaporation of excited domains in the bistable regime of an
activator-inhibitor stochastic system. In such a regime a quasivariat
ional approximation can be used to obtain the stationary distribution.
The nucleation and evaporation rates of the resulting nonuniform stru
ctures are investigated using a piecewise-linear dynamics to obtain an
alytical results.