Title：Lévy-noise-induced transport in classical rough potentials

Speaker：许勇（西北工业大学理学院）

Time：2018.10.18  14:00

Location: Center for Mathematical Sciences, Room 805

Abstract：

Rough energy landscape is a remarkable feature in protein folding, structural glasses, supercooled liquids or ion channels. The dynamics investigations of rough potentials will enable us to understand the related applications fundamentally. In this talk, we construct some classical rough potentials by superimposing a fast oscillating function on the background potentials. Rough triple-well potential and rough ratchet potential are considered to show how Lévy noise and rough potential affect the transport of particles. The mean velocity, splitting probability and mean first passage time are calculated. We find that the roughness on the potential wall functions like a ladder to provide the convenience for particles to climb up but hinder them to slide down. As a whole effect, in a ratchet potential, roughness is able to enhance the transport of particles and accelerate the transitions between different potential wells. These results can be used to speed up electronic transport and enhance the behaviors of transition-dependent systems.