Abstract.
We study the steady state properties of an absorptive optical bistable model in the presence of correlated noises. Based on the corresponding Fokker-Planck equation the steady state solution of the probability distribution and the average value of the transmitted light have been investigated. We have found that fluctuations of the input light amplitude improve the transmitted light and an optimized value exists for the fluctuations of the population difference at which the transmitted light takes its maximum value. The correlation between the two noises reduce the transmitted light and the noises in the model can induce a phase transition.
Similar content being viewed by others
References
A. Fulinski, T. Telejko, Phys. Lett. A 152, 11 (1991)
B.Q. Ai, X.J. Wang, G.T. Liu, L.G. Liu, Phys. Rev. E 68, 061105 (2003); B.Q. Ai, X.J. Wang, G.T. Liu, L.G. Liu, Phys. Rev. E 67, 022903 (2003); B.Q. Ai, G.T. Liu, H.Z. Xie, L.G. Liu, Chaos 14(4), 957 (2004)
F. Marchesoni, P. Grigolini, Physica A 121, 269 (1983); R. Bartussek, P. Reimann, P. Hanggi, Phys. Rev. Lett. 76, 1166 (1996)
W. Hersthemke, R. Lefever, Noise-induced Transitions (Springer-Verlag, Berlin, 1984)
S.K. Banik, Correlated Noise Induced control prey extinction (Physics/0110088), (2001)
L. Cao, D.J. Wu, Phys. Lett. A 185, 59 (1994)
S. Zhu, Phys. Rev. A 47, 2405 (1993)
Y. Jia, J.R. Li, Phys. Rev. E 53, 5786 (1996)
J.H. Li, Z.Q. Huang, Phys. Rev. E 53, 3315 (1996)
V. Berdichevsky, M. Gitterman, Phys. Rev. E 60, 1494 (1999)
B.C. Bag, S.K. Banik, D.S. Ray, Phys. Rev. E 64, 026110 (2001)
R. Bonifacio, L.A. Lugiato, Phys. Rev. A 18, 1192 (1978); L. Gammaitoni, P. Hanggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 71, 223 (1998)
D.J. Wu, L. Cao, S.Z. Ke, Phys. Rev. E 50, 2496 (1994)
H. Risken, The Fokker-Planck equation (Springer, Berlin 1984)
M. Borromeo, F. Marchesoni, Europhys. Lett. 68, 783 (2004); M. Borromeo, F. Marchesoni, Phys. Rev. E 71, 031105 (2005); M. Borromeo, F. Marchesoni, Europhys. Lett. 72, 362 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ai, BQ., Zheng, H. & Liu, LG. Correlated noises in an absorptive optical bistable model . Eur. Phys. J. B 51, 373–376 (2006). https://doi.org/10.1140/epjb/e2006-00229-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2006-00229-3