Diffusion crossing over a barrier in a random rough metastable potential

Meng Hu and Jing-Dong Bao
Phys. Rev. E 97, 062143 – Published 22 June 2018

Abstract

We carry out a detailed study of escape dynamics of a particle driven by a white noise over a metastable potential corrugated by spatial disorder in the form of zero-mean random correlated potential. The approach of double-averaging over test particles and statistic ensemble is proposed to calculate the escape rate in a finite-size random rough metastable potential, moreover, the interference mechanism of test particles multi-passing over the saddle point is considered. Through analyzing the dependence of the steady escape rate on various modelled potentials and parameters, we demonstrate that the obstruction induced by roughness leads to a decrease in the steady escape rate with the increase of rough intensity. We also add the random correlated potential into the vicinity of the saddle-point of metastable potentials of three kinds and show an enhancement phenomenon of escape rate similar to the previous study of a surmounting fluctuating sharp barrier.

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  • Received 25 January 2018
  • Revised 21 May 2018

DOI:https://doi.org/10.1103/PhysRevE.97.062143

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Meng Hu and Jing-Dong Bao*

  • Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China

  • *jdbao@bnu.edu.cn

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Issue

Vol. 97, Iss. 6 — June 2018

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