Noise delayed decay of unstable states: theory versus numerical simulations

doi:10.1088/0305-4470/37/20/001

Noise delayed decay of unstable states: theory versus numerical simulations

N V Agudov et al 2004 J. Phys. A: Math. Gen. 37 5279-5287 doi: 10.1088/0305-4470/37/20/001

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N V Agudov^1,2, R Mannella³, A V Safonov^1,2 and B Spagnolo¹
¹ INFM, Unità di Palermo, Group of Interdisciplinary Physics and Dipartimento di Fisica e Tecnologie Relative, Università di Palermo, Viale delle Scienze, I-90128 Palermo, Italy
² Radiophysical Department, State University of N Novgorod, 23 Gagarin Ave, Nizhny Novgorod, 603950, Russia
³ Dipartimento di Fisica and INFM UdR Pisa, Università degli Studi di Pisa, 56100 Pisa, Italy
E-mail: spagnolo@unipa.it

Abstract. 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 behaviour of the decay times as a function of the noise intensity for the unstable nonequilibrium states. The analytical results are compared with numerical simulations.

PACS numbers: 05.40.−a, 02.50.−r, 05.10.Gg

Print publication: Issue 20 (21 May 2004)
Received 7 December 2003
Published 5 May 2004

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Noise delayed decay of unstable states: theory versus numerical simulations

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