Cancellation phenomenon of barrier escape driven by a non-Gaussian noise

Jing-Dong Bao, Hai-Yan Wang, Ying Jia, and Yi-Zhong Zhuo
Phys. Rev. E 72, 051105 – Published 9 November 2005

Abstract

The Lévy noise, with a long-tail distribution induced particle escape from a metastable potential, is shown to display a feature called a cancellation phenomenon, as compared to the Brownian motion case. As a consequence, the escape rate is found to be a nonmonotonous function of the Lévy index μ and the Arrhenius law is not obeyed. We have also derived a rate expression using the reactive flux method, which supports our numerical findings, namely, with the decrease of μ, a large positive flow is allowed to establish at the barrier, however, the probability passing over the saddle point decreases. This implies that the particles outside the barrier come back to the inside and cancel with themselves.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 19 August 2004

DOI:https://doi.org/10.1103/PhysRevE.72.051105

©2005 American Physical Society

Authors & Affiliations

Jing-Dong Bao, Hai-Yan Wang, and Ying Jia

  • Department of Physics, Beijing Normal University, Beijing 100875, China

Yi-Zhong Zhuo

  • China Institute of Atomic Energy, P. O. Box 275, Beijing 102413, China

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 72, Iss. 5 — November 2005

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×