2003/10/21 by Jacek Dziarmaga, Dziarmaga, Jacek
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/0310485
4 pages, 4 .eps figures
arxiv created 2003/10/21 · openalex publication_date 2003/10/21 · arxiv updated 2009/12/01 · openalex created_date 2020/07/16 · openalex updated_date 2026/07/28
Kibble-Zurek mechanism is a theory of defect formation in a non-equilibrium\ncontinuous phase transition. So far the theory has been successfully tested by\nnumerical simulations and condensed matter experiments in a number of systems\nwith small thermal fluctuations. This paper reports first numerical test of the\nmechanism in a system with large thermal fluctuations and strongly\nnon-mean-field behavior: the two dimensional Ising model. The theory predicts\ncorrectly the initial density of defects that survive a quench from the\ndisordered phase. However, before the system leaves the Ginzburg regime of\nlarge fluctuations most of these defects are annihilated and the final density\nis determined by the dynamics of the annihilation process only.\n