Abstract
When a system that undergoes a continuous phase transition is swept through its critical point the initial symmetry is broken and domains are formed. Because of critical slowing down it is not possible to sweep adiabatically; the number of domains therefore depends on the rate of increase of the critical parameter. We give a summary of recent theoretical results for the number of defects produced as a function of how rapidly the transition point is passed. They are obtained from a simplified model, using a stochastic partial differential equation that is also solved numerically.
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Lythe, G. Defect Formation in a Dynamic Transition. International Journal of Theoretical Physics 40, 2309–2316 (2001). https://doi.org/10.1023/A:1012994406249
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DOI: https://doi.org/10.1023/A:1012994406249