Vortex Velocities in the O(n) Symmetric TDGL Model

Details Vortex Velocities in the O(n) Symmetric TDGL Model Vortex Velocities in the O(n) Symmetric TDGL Model

1996-09-13

arxiv.org/abs/cond-mat/9609126v2

Physics

Condensed Matter

10 pages, Latex. A more appropriate definition is used for the vortex velocity probability distribution

Scientific paper

An explicit expression for the vortex velocity field as a function of the order parameter field is derived for the case of point defects in the O(n) symmetric time-dependent Ginzburg-Landau model. This expression is used to find the vortex velocity probability distribution in the gaussian closure approximation in the case of phase ordering kinetics for a nonconserved order parameter. The velocity scales as $L^{-1}$ in scaling regime where $L\approx t^{1/2}$ and t is the time after the quench.

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