The calculation of rate coefficients is a discipline of nonlinear science of importance to much
of physics, chemistry, engineering, and biology. Fifty years after Kramers' seminal paper on …

Nonequilibrium systems driven by additive or multiplicative dichotomous Markov noise
appear in a wide variety of physical and mathematical models. We review here some …

The general subject of colored noise driven dynamical flows is rooted in the study of the
motion of small particles suspended in a fluid and moving under the influence of random …

By use of an adiabatic elimination procedure and a time scaling t^= τ− 1/2 t, where τ denotes
the correlation time of colored noise ɛ (t), one arrives at a novel colored-noise …

We prove that for an arbitrary time-homogeneous stochastic process, Kramers's flux-over-
population rate is identical to the inverse of the associated mean first-passage time. In this …

Mean first-passage times (MFPT) of non-Markovian processes driven by Markovian two-
state noise of finite correlation time are considered. Absorbing as well as reflecting boundary …

We develop a singular perturbation approach to the problem of first-passage times for non-
Markovian processes driven by Gaussian colored noise near the white-noise limit. In …

We consider mean first passage times in systems driven by white shot noise with
exponentially distributed jump heights. Simple interpretable results are obtained and the …

Dichotomous noise appears in a wide variety of physical and mathematical models. It has
escaped attention that the standard results for the long time properties cannot be applied …

First-passage times for non-Markovian processes: Shot noise Page 1 PHYSICAL REVIEW A
VOLUME 35, NUMBER 9 MAY 1, 1987 First-passage times for non-Markovian processes …