Noise-induced anomalous diffusion over a periodically modulated saddle.
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.
Mao
Jun-Wen
JW
Department of Physics, Huzhou Teachers College, Huzhou 313000, People's Republic of China.
Chen
Jiang-Xing
JX
Huang
Wen-Hua
WH
Li
Bai-Qing
BQ
Ge
Wei-Kuan
WK
D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D004735:Energy Transfer; D008956:Models, Chemical; D015233:Models, Statistical; D009991:Oscillometry / Q000379:methods*