N V Agudov et al 2004 J. Phys. A: Math. Gen. 37 5279 doi:10.1088/0305-4470/37/20/001
Noise delayed decay of unstable states: theory versus numerical simulations
N V Agudov1,2, R Mannella3, A V Safonov1,2 and B Spagnolo1
Show affiliationsWe 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
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05.45.-a Nonlinear dynamics and nonlinear dynamical systems
05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
- MSC
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37N30 Dynamical systems in numerical analysis
60J65 Brownian motion (See also 58J65)
- Subjects
- Dates
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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
N V Agudov et al 2004 J. Phys. A: Math. Gen. 37 5279
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