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

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

1998-01-06

arxiv.org/abs/hep-ph/9801223v1

Phys.Rev.Lett. 80 (1998) 5477-5480

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 4 postscript figures, uses RevTex and epsf.sty

Scientific paper

10.1103/PhysRevLett.80.5477

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 topological defects formed scales with the quench timescale $\tau_Q$ as $n \sim \tau_Q^{-1/2}$ when the dynamics is overdamped at the instant when the freezeout of thermal fluctuations takes place, and $n \sim \tau_Q^{-2/3}$ in the underdamped case. This is predicted by the scenario proposed by one of us [1].

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