6533b857fe1ef96bd12b3ce7

RESEARCH PRODUCT

Enhancement of stability in randomly switching potential with metastable state

N. V. AgudovBernardo SpagnoloAlexander A. Dubkov

subject

PhysicsStatistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesWhite noiseCondensed Matter - Soft Condensed MatterCondensed Matter Physicsmetastable stateStability (probability)Electronic Optical and Magnetic MaterialsIntensity (physics)MetastabilitySoft Condensed Matter (cond-mat.soft)Rectangular potential barrierFirst-hitting-time modelAtomic physicsBrownian motionNoise (radio)Condensed Matter - Statistical Mechanics

description

The overdamped motion of a Brownian particle in randomly switching piece-wise metastable linear potential shows noise enhanced stability (NES): the noise stabilizes the metastable system and the system remains in this state for a longer time than in the absence of white noise. The mean first passage time (MFPT) has a maximum at a finite value of white noise intensity. The analytical expression of MFPT in terms of the white noise intensity, the parameters of the potential barrier, and of the dichotomous noise is derived. The conditions for the NES phenomenon and the parameter region where the effect can be observed are obtained. The mean first passage time behaviours as a function of the mean flipping rate of the potential for unstable and metastable initial configurations are also analyzed. We observe the resonant activation phenomenon for initial metastable configuration of the potential profile.

http://hdl.handle.net/10447/19470