Melting of Flux Lines in an Alternating Parallel Current

Details Melting of Flux Lines in an Alternating Parallel Current Melting of Flux Lines in an Alternating Parallel Current

1998-08-13

arxiv.org/abs/cond-mat/9808141v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevB.59.9637

We use a Langevin equation to examine the dynamics and fluctuations of a flux line (FL) in the presence of an {\it alternating longitudinal current} $J_{\parallel}(\omega)$. The magnus and dissipative forces are equated to those resulting from line tension, confinement in a harmonic cage by neighboring FLs, parallel current, and noise. The resulting mean-square FL fluctuations are calculated {\it exactly}, and a Lindemann criterion is then used to obtain a nonequilibrium `phase diagram' as a function of the magnitude and frequency of $J_{\parallel}(\omega)$. For zero frequency, the melting temperature of the mixed phase (a lattice, or the putative "Bose" or "Bragg Glass") vanishes at a limiting current. However, for any finite frequency, there is a non-zero melting temperature.

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