Dynamics of defect formation

Details Dynamics of defect formation Dynamics of defect formation

1998-11-03

arxiv.org/abs/cond-mat/9811032v1

Physics

Condensed Matter

4 pages, LaTeX, 4 figures. Submitted to Physical Review

Scientific paper

10.1103/PhysRevE.59.R1303

A dynamic symmetry-breaking transition with noise and inertia is analyzed. Exact solution of the linearized equation that describes the critical region allows precise calculation (exponent and prefactor) of the number of defects produced as a function of the rate of increase of the critical parameter. The procedure is valid in both the overdamped and underdamped limits. In one space dimension, we perform quantitative comparison with numerical simulations of the nonlinear nonautonomous stochastic partial differential equation and report on signatures of underdamped dynamics.

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