Abstract
The features of first passage time density function is analysed theoretically in a symmetric double square well system modulated periodically with a signal of arbitrary amplitude and frequency. Resonance is demonstrated as a maximum synchronization between periodic signal and noise. Resonance is characterized as a linear relation between noise strength at resonance and frequency. This characterization is shown to hold good for amplitude lesser or greater than the depth of the unmodulated potential well. The mean first passage time of the process at resonance is also shown to decrease linearly with the strength of the noise for high amplitude of the signal while it increases linearly with inverse of the noise strength for low amplitude.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14:453 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34:10 (1982); C. Nicolis and G. Nicolis, Tellus 33:225 (1981).
S. Fauve and F. Heslot, Phys. Lett. A 97:5 (1983).
B. McNamara, K. Wiesenfeld, and R. Roy, Phys. Rev. Lett. 60:2626 (1988); G. Vemuri and R. Roy, Phys. Rev. A 39:4668 (1989); F. Moss, A. Bulsara, and M. Schlesinger, Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, J. Statist. Phys. 70(1/2) (1993); K. Wiesenfeld and F. Moss, Nature (London) 373:33 (1995); A. Bulsara and L. Gammaitoni, Phys. Today 49:39 (1996); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70:223 (1998). M. Grifoni and P. Hänggi, Phys. Rep. 304:229 (1998).
B. McNamara and K. Wiesenfeld, Phys. Rev. A 39:4854 (1989).
Hu Gang, G. Nicolis, and C. Nicolis, Phys. Rev. A 42:2030 (1990).
P. Jung and P. Hänggi, Europhys. Lett. 8:505 (1989).
P. Jung and P. Hänggi, Phys. Rev. A 44:8032 (1991).
G. Hu, H. Haken, and C. Z. Ning, Phys. Lett. A 172:21 (1992).
V. A. Shneidman, P. Jung, and P. Hänggi, Phys. Rev. Lett. 72:2682 (1994).
N. G. Stocks, Nuovo Cimento D 17:925 (1995).
V. Berdichevsky and M. Gitterman, J. Phys. A: Math. Gen. 29:L447 (1996).
T. Zhou, F. Moss, and P. Jung, Phys. Rev. A 42:3161 (1990).
L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74:1052 (1995).
G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82:675 (1999).
L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, and S. Santucci, Phys. Rev. E 51:R3799 (1995).
F. Apostolico, L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. E 55:36 (1997).
F. Marchesoni, L. Gammaitoni, F. Apostolico, and S. Santucci, Phys. Rev. E 62:146 (2000).
Asish K. Dhara and S. R. Banerjee, J. Statist. Phys. 99:799 (2000).
M. Mörsch, H. Risken, and H. D. Vollmer, Z. Physik B 32:245 (1979).
V. Berdichevsky and M. Gitterman, Phys. Rev. E 59:R9 (1999).
Asish K. Dhara and Tapan Mukhopadhyay, Phys. Rev. E 60:2727 (1999).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dhara, A.K., Banerjee, S.R. New Characterization of Stochastic Resonance in Bistable Square Potential Well. Journal of Statistical Physics 105, 771–787 (2001). https://doi.org/10.1023/A:1013592910118
Issue Date:
DOI: https://doi.org/10.1023/A:1013592910118