Flux-biased mesoscopic rings

TL;DR

This paper models the magnetic flux dynamics in mesoscopic rings under strong magnetic bias as Brownian motion in a tilted potential, highlighting flux velocity as a new characteristic related to persistent currents.

Contribution

It introduces a novel approach to describe flux kinetics in mesoscopic rings using an analogy with Brownian particles in a tilted washboard potential.

Findings

Flux velocity as a new characteristic of mesoscopic rings

Global properties indicate the potential for persistent currents

Modeling flux dynamics with stochastic differential equations

Abstract

Kinetics of magnetic flux in a thin mesoscopic ring biased by a strong external magnetic field is described equivalently by dynamics of a Brownian particle in a tilted washboard potential. The 'flux velocity', i.e. the averaged time derivative of the total magnetic flux in the ring, is a candidate for a novel characteristics of mesoscopic rings. Its global properties reflect the possibility of accommodating persistent currents in the ring.