Kibble-Zurek mechanism and infinitely slow annealing through critical points

Details Kibble-Zurek mechanism and infinitely slow annealing through critical points Kibble-Zurek mechanism and infinitely slow annealing through critical points

2010-01-05

arxiv.org/abs/1001.0693v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figs

Scientific paper

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing length and we use it to predict the number of topological defects left over in the symmetry broken phase as a function of time, both close and far from the critical region. Our results extend the Kibble-Zurek mechanism and reveal its limitations.

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