Vortex distribution in a confining potential
Statistical Mechanics
2015-06-17 v1
Abstract
We study a model of interacting vortices in a type II superconductor. In the weak coupling limit, we constructed a mean-field theory which allows us to accurately calculate the vortex density distribution inside a confining potential. In the strong coupling limit, the correlations between the particles become important and the mean-field theory fails. Contrary to recent suggestions, this does not imply failure of the Boltzmann-Gibbs statistical mechanics, as we clearly demonstrate by comparing the results of Molecular Dynamics and Monte Carlo simulations.
Cite
@article{arxiv.1310.3762,
title = {Vortex distribution in a confining potential},
author = {Yan Levin and Matheus Girotto and Alexandre Pereira dos Santos},
journal= {arXiv preprint arXiv:1310.3762},
year = {2015}
}