Magnetic flux in mesoscopic rings: capacitance, inertia and kinetics

TL;DR

This paper develops a Hamiltonian model for magnetic flux in mesoscopic rings with capacitance, incorporating dissipation and thermal fluctuations to analyze flux kinetics under different thermal coupling regimes.

Contribution

It introduces a novel Hamiltonian framework for flux in mesoscopic rings and integrates dissipation and thermal effects into the kinetic analysis.

Findings

Model describes flux dynamics with capacitance effects.

Analysis of flux kinetics in strong and weak thermal coupling regimes.

Provides insights into dissipation and fluctuation impacts on flux behavior.

Abstract

We consider mesoscopic non-superconducting rings with an effective capacitance. We propose a Hamiltonian model describing magnetic flux in such rings. Next we incorporate dissipation and thermal fluctuations into our kinetic model. We consider kinetics in limiting regimes of strong and weak coupling to thermal bath.