Vortex Dynamics in the Ordering Process of the Three-Dimensional Planar System

Abstract

A three-dimensional cell-dynamical-system with planar symmetry is used to study the ordering process following a quench. The configuration of vortex strings is investigated and their total length is found to decrease with time as t^−0.91. It is shown that the form factor obeys dynamical scaling with a characteristic length increasing as t^0.45. The results are consistent with the previous theoretical result.