Vortex distribution in a confining potential

Matheus Girotto, Alexandre P. dos Santos, and Yan Levin

Phys. Rev. E 88, 032118 – Published 11 September 2013

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.

Received 3 May 2013

DOI:https://doi.org/10.1103/PhysRevE.88.032118

Authors & Affiliations

Matheus Girotto^1,*, Alexandre P. dos Santos^2,†, and Yan Levin^1,‡

¹Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS, Brazil
²Departamento de Física, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, Santa Catarina, Brazil

^*girotto.matheus@gmail.com
^†alexandre.pereira@ufrgs.br
^‡levin@if.ufrgs.br

Comments & Replies

Reply to “Comment on ‘Vortex distribution in a confining potential’ ”

Matheus Girotto, Alexandre P. dos Santos, Renato Pakter, and Yan Levin

Phys. Rev. E 90, 026102 (2014)

Comment on “Vortex distribution in a confining potential”

Mauricio S. Ribeiro, Fernando D. Nobre, and Evaldo M. F. Curado

Phys. Rev. E 90, 026101 (2014)

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Vol. 88, Iss. 3 — September 2013

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