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arXiv · 1310.3762

Vortex distribution in a confining potential

Yan Levin·Matheus Girotto·Alexandre Pereira dos Santos
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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.

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Yan Levin, Matheus Girotto, Alexandre Pereira dos Santos. 2013-10-14. Vortex distribution in a confining potential. https://doi.org/10.1103/physreve.88.032118

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