摘要A Brownian particle in a spatially symmetric and flashing periodic potential subjected to correlated noises is investigated. The exact expression of its current is analytically derived. The numerical results indicate that its current as a function of noise intensity exhibits two peaks in the case of positive correlations, and two vales in the case of negative correlations, i.e., a novel stochastic resonance (SR) phenomenon. The SR is attributed to the harmonic cooperation between the noises and the flashing periodic potential. The conditions under which the SR occurs are also presented.
Abstract：A Brownian particle in a spatially symmetric and flashing periodic potential subjected to correlated noises is investigated. The exact expression of its current is analytically derived. The numerical results indicate that its current as a function of noise intensity exhibits two peaks in the case of positive correlations, and two vales in the case of negative correlations, i.e., a novel stochastic resonance (SR) phenomenon. The SR is attributed to the harmonic cooperation between the noises and the flashing periodic potential. The conditions under which the SR occurs are also presented.
NIE Lin-Ru;GONG Yu-Lan;MEI Dong-Cheng. Stochastic Resonance in a Spatially Symmetric and Flashing Periodic Potential Subjected to Correlated Noises[J]. 中国物理快报, 2009, 26(10): 100505-100505.
NIE Lin-Ru, GONG Yu-Lan, MEI Dong-Cheng. Stochastic Resonance in a Spatially Symmetric and Flashing Periodic Potential Subjected to Correlated Noises. Chin. Phys. Lett., 2009, 26(10): 100505-100505.
[1] Reimann P 2002 Phys. Rep. 361 57 Ai B Q, Wang X J, Liu L G, Nakano M and Matsuura H 2002 Chin. Phys. Lett. 19 137 Jia Y and Li J R 2001 Chin. Phys. Lett. 18 1431 Li J H 2007 Chin. Phys. Lett. 24 2505 [2] Smoluchowski M V 1912 Phys. Z. 13 1069 Feynman R P, Leighton R B and Sands M 1966 The FeynmanLectures on Physics (Reading, MA: Addison-Wesley) vol 1 chap 46 [3] Lodish H, Berk A, Zipursky S L et al 2000 MolecularCell Biology (New York: Freeman) [4] Zhou H X and Chen Y D 1996 Phys. Rev. Lett. 77194 [5] Schreier M, Reimann P, H\"{anggi P and Pollak E 1998 Eur. Phys. Lett. 44 416 [6] Van den Broek M and Van den Broeck C 2008 Phys. Rev.Lett. 100 130601 [7] Doering C R, Horsthemke W and Riordan J 1994 Phys.Rev. Lett. 72 2984 [8] Rozenbaum V M, Korochkova T Y, Yang D Y, Lin S H and TsongT Y 2005 Phys. Rev. E 71 041102 [9] Cao L and Wu D J 2000 Phys. Rev. E 62 7478 Li J H, {\Luczka J and H\"{anggi P 2001 Phys. Rev. E 64 011113 Ai B Q, Xie H Z and Liu L G 2005 Chin. Phys. Lett. 22 2772 [10] Yang Z L, Gao Y, Gao Y T and Zhang J 2009 Chin.Phys. Lett. 26 060506 [11] Jia Y, Zheng X P, Hu X M and Li J R 2001 Phys. Rev.E 63 031107 Cai J C, Wang C J and Mei D C 2007 Chin. Phys. Lett. 24 1162 Zeng C H and Xie C W 2008 Chin. Phys. Lett. 251587 Wang J, Cao L and Wu D J 2002 Chin. Phys. Lett. 19 1416 [12] Chang C H and Tsong T Y 2004 Phys. Rev. E 69021914 [13] Risken H 1984 The Fokker-Planck Equation (Berlin:Springer) [14] Masoliver J, West B J and Lindenberg K 1987 Phys.Rev. A 35 3086 Li J H 2007 Chin. Phys. Lett. 24 3070
2009, Vol. 26 
