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Density of kinks just after a quench in an overdamped system

Jacek Dziarmaga
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Abstract

A quench in an overdamped one dimensional $ϕ^4$ model is studied by analytical and numerical methods. For an infinite system or a finite system with free boundary conditions, the density of kinks after the transition is proportional to the eighth root of the rate of the quench. For a system with periodic boundary conditions, it is proportional to the fourth root of the rate. The critical exponent predicted in Zurek scenario is put in question.

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Jacek Dziarmaga. 1998-02-19. Density of kinks just after a quench in an overdamped system. https://arxiv.org/abs/cond-mat/9802213

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