Mobility and stochastic resonance in spatially inhomogeneous system

TL;DR

This paper investigates how spatial inhomogeneity and stochastic resonance influence the mobility of an overdamped particle in a periodic potential, revealing resonance phenomena and noise effects in such systems.

Contribution

It introduces the study of stochastic resonance in particle mobility within a spatially inhomogeneous medium with phase-shifted periodic potential and friction.

Findings

Mobility exhibits stochastic resonance with constant applied force.

Resonance-like behavior observed as a function of field strength.

Noise can induce slowing down of particle motion.

Abstract

The mobility of an overdamped particle, in a periodic potential tilted by a constant external field and moving in a medium with periodic friction coefficient is examined. When the potential and the friction coefficient have the same periodicity but have a phase difference, the mobility shows many interesting features as a function of the applied force, the temperature, etc. The mobility shows stochastic resonance even for constant applied force, an issue of much recent interest. The mobility also exhibits a resonance like phenomenon as a function of the field strength and noise induced slowing down of the particle in an appropriate parameter regime.