Jm. Casado et M. Morillo, DISTRIBUTION OF ESCAPE TIMES IN A DRIVEN STOCHASTIC-MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 1136-1139
We analyze the probability distribution of escape times out of a metas
table well for a stochastic model driven by a large-amplitude sinusoid
al time-dependent field. The system obeys a Langevin equation which is
solved numerically by generating stochastic trajectories, both for a
white and for an Ornstein. Uhlenbeck noise. The probability distributi
on changes from monomodal to multimodal as the noise strength is incre
ased. The average escape time shows a nonmonotonic behavior with the n
oise intensity which is associated with the change in the structure of
the probability distribution. For a noise with a correlation time muc
h longer than the period of the driving field, the resonance effects a
re enhanced with respect to the white-noise case.