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

Source: [Vortex Velocities in the O(n) Symmetric TDGL Model](<https://www.sota2.com/research/paper/68fa21437a2b558e293361ac>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T00:36:55.853Z

Authors: Gene F. Mazenko

Published: 1996-09-13T19:59:20.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9609126>)

[PDF](<https://arxiv.org/pdf/cond-mat/9609126.pdf>)