Vortex formation in two dimensions: when symmetry breaks, how big are the pieces?

Yates, A. and Zurek, W. H. (1998) Vortex formation in two dimensions: when symmetry breaks, how big are the pieces? Physical Review Letters, 80(25), pp. 5477-5480. (doi: 10.1103/PhysRevLett.80.5477)

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Publisher's URL: http://dx.doi.org/10.1103/PhysRevLett.80.5477

Abstract

We investigate the dynamics of second-order phase transitions in two dimensions, breaking a gauged U(1) symmetry. Using numerical simulations, we show that the density of the topological defects formed scales with the quench time scale τQ as n∼τ−1/2Q when the dynamics is overdamped at the instant when the freeze-out of thermal fluctuations takes place, and n∼τ−2/3Q in the underdamped case. This is predicted by the scenario proposed by one of us (W. H. Z.).

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Yates, Professor Andrew
Authors: Yates, A., and Zurek, W. H.
College/School:College of Medical Veterinary and Life Sciences > School of Infection & Immunity
Journal Name:Physical Review Letters
Publisher:American Physical Society
ISSN:0031-9007
ISSN (Online):1079-7114

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