Kibble-Zurek mechanism and infinitely slow annealing through critical points
Statistical Mechanics
2013-05-29 v1 Disordered Systems and Neural Networks
Abstract
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.
Keywords
Cite
@article{arxiv.1001.0693,
title = {Kibble-Zurek mechanism and infinitely slow annealing through critical points},
author = {Giulio Biroli and Leticia F. Cugliandolo and Alberto Sicilia},
journal= {arXiv preprint arXiv:1001.0693},
year = {2013}
}
Comments
5 pages, 4 figs