Abstract
We consider the statistical properties of the escape time of a particle initially sitting in a potential well subject to a combination of white noise and a periodic forcing term. As one finds in the case of the much-studied bistable potential, different kinds of resonant effects can occur, as measured by the survival probability and the average residence time. When this time is considered as a function of the noise strength, then we show that for small amplitudes of the forcing term there are no resonant effects, while for large amplitudes such effects can appear. We also show that a resonant phenomenon is possible in terms of the amplitude of a periodic forcing term.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Giordano, M. Martinelli, L. Pardi, and S. Santucci,Phys. Rev. Lett 59:327 (1987).
B. McNamara and K. Wiesenfeld,Phys. Rev. A 39:4854 (1989).
M. Cacchiani, M. Giordano, M. Martinelli, L. Pardi, and S. Santucci,Phys. Rev. A 40:5695 (1989).
L. Gammaitoni, M. Martinelli, L. Pardi, and S. Santucci,Phys. Rev. Lett. 67:1799 (1991).
T. Zhou, F. Moss, and P. Jung,Phys. Rev. A 42:3161 (1990).
J. C. Fletcher, S. Havlin, and G. H. Weiss,J. Stat. Phys. 51:215 (1988).
L. E. Reichl,J. Stat. Phys. 53:41 (1988).
C. W. Gardiner,Handbook of Stochastic Methods, 2nd ed. (Springer-Verlag, Berlin, 1985).
I. Dayan, M. Gitterman, and G. H. Weiss,Phys. Rev. A 46:757 (1992).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gitterman, M., Weiss, G.H. “Escape” of a periodically driven particle from a metastable state in a noisy system. J Stat Phys 70, 107–123 (1993). https://doi.org/10.1007/BF01053957
Issue Date:
DOI: https://doi.org/10.1007/BF01053957