6533b7d1fe1ef96bd125bafa

RESEARCH PRODUCT

Noise delayed decay of unstable states: theory versus numerical simulations

N. V. AgudovBernardo SpagnoloA. V. SafonovR. Mannella

subject

PhysicsPolynomialStatistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesGeneral Physics and AstronomyNoise intensityNon-equilibrium thermodynamicsStatistical and Nonlinear PhysicsFunction (mathematics)Nonlinear dynamical systemsnumerical simulationsBrownian motion modelStatistical physicsCondensed Matter - Statistical MechanicsMathematical PhysicsNoise (radio)

description

We study the noise delayed decay of unstable nonequilibrium states in nonlinear dynamical systems within the framework of the overdamped Brownian motion model. We give the exact expressions for the decay times of unstable states for polynomial potential profiles and obtain nonmonotonic behavior of the decay times as a function of the noise intensity for the unstable nonequilibrium states. The analytical results are compared with numerical simulations.

yearjournalcountryeditionlanguage
2004-01-01
http://hdl.handle.net/10447/5980