Noise-induced anomalous diffusion over a periodically modulated saddle

被引：6

作者：

Mao, Jun-Wen ^{[1
]}

Chen, Jiang-Xing ^{[2
]}

Huang, Wen-Hua ^{[1
]}

Li, Bai-Qing ^{[1
]}

Ge, Wei-Kuan ^{[1
]}

机构：

[1] Huzhou Teachers Coll, Dept Phys, Huzhou 313000, Peoples R China

[2] HangZhou Dianzi Univ, Dept Phys, Hangzhou 310018, Peoples R China

来源：

PHYSICAL REVIEW E | 2010年 / 81卷 / 03期

关键词：

BROWNIAN-MOTION; COLORED NOISE; DRIVEN; ESCAPE; SQUARE;

D O I：

10.1103/PhysRevE.81.031123

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study analytically and numerically the anomalous diffusion across periodically modulated parabolic potential within Langevin and Fokker-Planck descriptions. We find that the probability of particles passing over the saddle is affected strikingly by the periodical modulation with average zero bias. Particularly, the initial phase plays an important role in the modulation effect. The effect of the correlation time of external Ornstein-Uhlenbeck noise on dynamical process is also discussed. A reduction in overpassing probability is observed due to finite correlation time.

引用

页数：7

共 29 条

[1] Diffusion over a saddle with a Langevin equation
Abe, Y
Boilley, D
Giraud, BG
Wada, T
[J]. PHYSICAL REVIEW E, 2000, 61 (02): : 1125 - 1133
[2] [Anonymous], 1989, FOKKERPLANCK EQUATIO
[3] Anomalous transport in unbound and ratchet potentials
Bao, JD
[J]. PHYSICAL REVIEW E, 2004, 69 (01): : 7
[4] Beuter A, 2003, Nonlinear dynamics in physiology and medicine
[5] Inverse Kramers formula and fusion dynamics of heavy ions
Boilley, D
Abe, Y
Bao, JD
[J]. EUROPEAN PHYSICAL JOURNAL A, 2003, 18 (04) : 627 - 631
[6] Non-Markovian diffusion over a saddle with a generalized Langevin equation
Boilley, David
Lallouet, Yoann
[J]. JOURNAL OF STATISTICAL PHYSICS, 2006, 125 (02) : 477 - 493
[7] Generalized Fokker-Planck equation: Derivation and exact solutions
Denisov, S. I.
Horsthemke, W.
Haenggi, P.
[J]. EUROPEAN PHYSICAL JOURNAL B, 2009, 68 (04) : 567 - 575
[8] Parametric resonance of optically trapped aerosols
Di Leonardo, R.
Ruocco, G.
Leach, J.
Padgett, M. J.
Wright, A. J.
Girkin, J. M.
Burnham, D. R.
McGloin, D.
[J]. PHYSICAL REVIEW LETTERS, 2007, 99 (01)
[9] Activated escape of periodically modulated systems
Dykman, MI
Ryvkine, D
[J]. PHYSICAL REVIEW LETTERS, 2005, 94 (07)
[10] FAST, ACCURATE ALGORITHM FOR NUMERICAL-SIMULATION OF EXPONENTIALLY CORRELATED COLORED NOISE
FOX, RF
GATLAND, IR
ROY, R
VEMURI, G
[J]. PHYSICAL REVIEW A, 1988, 38 (11): : 5938 - 5940

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