Noise Enhanced Stability in Fluctuating Metastable States
arXiv:cond-mat/0405536 · doi:10.1103/PhysRevE.69.061103
Abstract
We derive general equations for the nonlinear relaxation time of Brownian diffusion in randomly switching potential with a sink. For piece-wise linear dichotomously fluctuating potential with metastable state, we obtain the exact average lifetime as a function of the potential parameters and the noise intensity. Our result is valid for arbitrary white noise intensity and for arbitrary fluctuation rate of the potential. We find noise enhanced stability phenomenon in the system investigated: the average lifetime of the metastable state is greater than the time obtained in the absence of additive white noise. We obtain the parameter region of the fluctuating potential where the effect can be observed. The system investigated also exhibits a maximum of the lifetime as a function of the fluctuation rate of the potential.
7 pages, 5 figures, to appear in Phys. Rev. E vol. 69 (6),2004
References in corpus (13)
- Brownian motors: noisy transport far from equilibrium
- Noise-enhanced stability of periodically driven metastable states
- Experimental Investigation of Resonant Activation
- Surmounting Oscillating Barriers
- Properties of resonant activation phenomena
- Noise-Activated Escape from a Sloshing Potential Well
- Noise induced stability in fluctuating, bistable potentials
- Mobility and stochastic resonance in spatially inhomogeneous system
- Influence of the Barrier Shape on Resonant Activation
- Some stochastic phenomena in a driven double-well system
- Resonant Activation Phenomenon for Non-Markovian Potential-Fluctuation Processes
- Two-Well System under Large Amplitude Periodic Forcing: Stochastic Synchronization, Stochastic Resonance and Stability
- Escape Times in Fluctuating Metastable Potential and Acceleration of Diffusion in Periodic Fluctuating Potentials
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