5 pages, 2 figures5 pages, 2 figures5 pages, 2 figuresWe investigate escape processes from metastable states that are driven by non-Gaussian noise. Using a path integral approach, we define a weak-noise scaling limit that identifies optimal escape paths as minima of a stochastic action, while retaining the infinite hierarchy of noise cumulants. This enables us to investigate the effect of different noise amplitude distributions. We find generically a reduced effective potential barrier but also fundamental differences, particularly for the limit when the non-Gaussian noise pulses are relatively slow. Here we identify a class of amplitude distributions that can induce a single-jump escape from the potential well. Our results highlight that h...
Many complex real world phenomena exhibit abrupt, intermittent or jumping behaviors, which are more ...
We explore the archetype problem of an escape dynamics occurring in a symmetric double well potenti...
We consider Lévy flights of stability index α ∈ (0, 2) in a potential landscape in the limit of a s...
Many physical and chemical phenomena are governed by stochastic escape across potential barriers. Th...
We review the problem of the noise activated escape from a metastable state in the presence of non-G...
We consider the stochastic dynamics of escape in an excitable system, the FitzHugh-Nagumo (FHN) neur...
We are exploring two archetypal noise induced escape scenarios: escape from a finite interval and fr...
Properties of the noise-driven escape kinetics are mainly determined by the stochastic component of ...
Noise-induced escape from the metastable part of a potential is considered on time scales preceding ...
The first measurements of an exit location distribution are reported for an overdamped nonconservati...
We explore the properties of discrete-time stochastic processes with a bounded state space, whose de...
The investigation of noise-induced phenomena in far from equilibrium systems is one of the approach ...
Noise induced jumping between meta-stable states in a potential depends on the structure of the nois...
Using the path-integral approach, we have developed a general solution of the problem of a noise-ind...
We show that the empirical process associated with a system of weakly interacting diffusion processe...
Many complex real world phenomena exhibit abrupt, intermittent or jumping behaviors, which are more ...
We explore the archetype problem of an escape dynamics occurring in a symmetric double well potenti...
We consider Lévy flights of stability index α ∈ (0, 2) in a potential landscape in the limit of a s...
Many physical and chemical phenomena are governed by stochastic escape across potential barriers. Th...
We review the problem of the noise activated escape from a metastable state in the presence of non-G...
We consider the stochastic dynamics of escape in an excitable system, the FitzHugh-Nagumo (FHN) neur...
We are exploring two archetypal noise induced escape scenarios: escape from a finite interval and fr...
Properties of the noise-driven escape kinetics are mainly determined by the stochastic component of ...
Noise-induced escape from the metastable part of a potential is considered on time scales preceding ...
The first measurements of an exit location distribution are reported for an overdamped nonconservati...
We explore the properties of discrete-time stochastic processes with a bounded state space, whose de...
The investigation of noise-induced phenomena in far from equilibrium systems is one of the approach ...
Noise induced jumping between meta-stable states in a potential depends on the structure of the nois...
Using the path-integral approach, we have developed a general solution of the problem of a noise-ind...
We show that the empirical process associated with a system of weakly interacting diffusion processe...
Many complex real world phenomena exhibit abrupt, intermittent or jumping behaviors, which are more ...
We explore the archetype problem of an escape dynamics occurring in a symmetric double well potenti...
We consider Lévy flights of stability index α ∈ (0, 2) in a potential landscape in the limit of a s...