Harmonic Noise-Induced Resonant Passing in an Inverse Harmonic Potential
HAN Jie, BAO Jing-Dong**
Department of Physics, Beijing Normal University, Beijing 100875
Abstract :The problem of a Brownian particle driven by harmonic noise passing over the saddle point in an inverse harmonic potential is studied. The passing probability over the saddle point is obtained analytically. The stationary passing probability is found to arrive at its maximal value when the frequency parameter of the harmonic noise is close to the frequency of the inverse harmonic potential, which results in a resonance phenomenon. With an increase in the frequency parameter of noise, the Brownian particle will recross the barrier, thereby increasing the escape rate and resulting in a decrease in the passing probability.
出版日期: 2015-01-12
[1] Kramers H A 1940 Phys. (Utrecht) 7 284 [2] H?nggi P, Talkner P and Borkovec M 1990 Rev. Mod. Phys. 62 251 [3] Gammaitoni L, H?nggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223 [4] Van den Broeck C, Parrondo J M R and Toral R 1994 Phys. Rev. Lett. 73 3395 [5] Fuentes M A, Horacio S W and Toral R 2002 Physica A 303 91 [6] Li J H and Huang Z Q 1996 Phys. Rev. E 53 3315 [7] Bag B C 2002 Phys. Rev. E 66 026122 [8] Daems D and Nicolis G 1999 Phys. Rev. E 59 4000 [9] Aritomo Y, Wada T, Ohta M and Abe Y 1997 Phys. Rev. C 55 R1011 [10] ?wiatecki W J, Siwek-Wilczyńska K and Wilczyński J 2005 Phys. Rev. C 71 014602 [11] Abe Y, Boilley D, Giraud B G and Wada T 2000 Phys. Rev. E 61 1125 [12] Boilley D, Abe Y and Bao J D 2003 Eur. Phys. J. A 18 627 [13] Schimansky-Geier L and Zülicke Ch 1990 Z. Phys. B: Condens. Matter 79 451 [14] Einchcomb S J B and McKane A J 1994 Phys. Rev. E 49 259 [15] Dykman M I, McClintock P V E, Stein N D and Stocks N G 1991 Phys. Rev. Lett. 67 933 [16] Dykman M I, Mannella R, McClintock P V E, Stein N D and Stocks N G 1993 Phys. Rev. E 47 3996 [17] Dykman M I 1990 Phys. Rev. A 42 2020 [18] Millonas M and Dykman M I 1994 Phys. Lett. A 185 65 [19] Bartussek R, H?nggi P, Lindner B and Schimansky-Geier L 1997 Physica D 109 17 [20] Arrayás M, Mannella R, McClintock P V E, McKane A J and Stein N D 2000 Phys. Rev. E 61 139 [21] M I Dykman, Mannella R, McClintock P V E and Stocks N G 1992 Phys. Rev. Lett. 68 2985 [22] Yu Y and Han S Y 2003 Phys. Rev. Lett. 91 127003 [23] Li R, Hu G, Yang C Y, Wen X D, Qing G R and Zhu H J 1995 Phys. Rev. E 51 3964 [24] Abe Y, Shen C W, Kosenko G, Boilley D and Giraud B G 2008 Int. J. Mod. Phys. E 17 2214 [25] Boilley D and Lallouet Y 2006 J. Stat. Phys. 125 473 [26] Bao J D and Zhuo Y Z 2003 Phys. Rev. C 67 064606 [27] Yilmaz B, Ayik S, Abe Y and Boilley D 2008 Phys. Rev. E 77 011121 [28] Bao J D, Song Y L, Ji Q and Zhuo Y Z 2005 Phys. Rev. E 72 011113
[1]
. [J]. 中国物理快报, 2021, 38(4): 40501-.
[2]
. [J]. 中国物理快报, 2020, 37(5): 50501-.
[3]
. [J]. 中国物理快报, 2017, 34(1): 10301-010301.
[4]
. [J]. 中国物理快报, 2013, 30(8): 88901-088901.
[5]
. [J]. 中国物理快报, 2013, 30(7): 70501-070501.
[6]
HE Gui-Tian, LUO Mao-Kang. Weak Signal Frequency Detection Based on a Fractional-Order Bistable System [J]. 中国物理快报, 2012, 29(6): 60204-060204.
[7]
LIU Jian;FAN Jian-Fen**. Relationship between the Permeation-Diffusion Parameters of a Single-File Channel [J]. 中国物理快报, 2012, 29(1): 10502-010502.
[8]
KANG Yan-Mei;JIANG Yao-Lin. Long-Time Dynamic Response and Stochastic Resonance of Subdiffusive Overdamped Bistable Fractional Fokker--Planck Systems [J]. 中国物理快报, 2008, 25(10): 3578-3581.
[9]
BAI Zhan-Wu. Noise-Induced Phase Transition: Zero-Dimensional Brownian Particles Varying between Ergodicity and Nonergodicity [J]. 中国物理快报, 2008, 25(4): 1213-1216.
[10]
XIE Hui-Zhang;AI Bao-Quan;LIU Xue-Mei;CHENG Xiao-Bo;LIU Liang-Gang;LI Zhi-Bing. Particle Transport with Asymmetric Unbiased Forces and Entropic Barrier [J]. 中国物理快报, 2007, 24(12): 3340-3343.
[11]
ZHANG Jia-Lin;YU Hong-Wei. Lorentz Invariance and Brownian Motion of Test Particles with Constant Classical Velocity in Electromagnetic Vacuum [J]. 中国物理快报, 2005, 22(12): 3017-3020.
[12]
AI Bao-Quan;XIE Hui-Zhang;LIU Liang-Gang. Current Inversion in a Temperature Ratchet with Asymmetric Unbiased External Forces [J]. 中国物理快报, 2005, 22(11): 2772-2775.
[13]
BAO Jing-Dong;BAI Zhan-Wu. Ballistic Diffusion of a Charged Particle in a Blackbody Radiation Field [J]. 中国物理快报, 2005, 22(8): 1845-1847.
[14]
YANG Ming;LI Xiang-Lian;CAO Li;;WU Da-Jin;. Coherence Resonance in the System with Periodical Potential and Driven by Correlated Noises [J]. 中国物理快报, 2004, 21(7): 1220-1223.
[15]
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