Nonequilibrium dislocation dynamics and instability of driven vortex lattices in two dimensions
Statistical Mechanics
2009-10-31 v2 Superconductivity
Abstract
We consider dislocations in a vortex lattice that is driven in a two-dimensional superconductor with random impurities. The structure and dynamics of dislocations is studied in this genuine nonequilibrium situation on the basis of a coarse-grained equation of motion for the displacement field. The presence of dislocations leads to a characteristic anisotropic distortion of the vortex density that is controlled by a Kardar-Parisi-Zhang nonlinearity in the coarse-grained equation of motion. This nonlinearity also implies a screening of the interaction between dislocations and thereby an instability of the vortex lattice to the proliferation of free dislocations.
Cite
@article{arxiv.cond-mat/9805400,
title = {Nonequilibrium dislocation dynamics and instability of driven vortex lattices in two dimensions},
author = {Igor S. Aranson and Stefan Scheidl and Valerii M. Vinokur},
journal= {arXiv preprint arXiv:cond-mat/9805400},
year = {2009}
}
Comments
published version with minor corrections