Quantifying Nonequilibrium Behavior with Varying Cooling Rates

Details Quantifying Nonequilibrium Behavior with Varying Cooling Rates Quantifying Nonequilibrium Behavior with Varying Cooling Rates

2001-05-26

arxiv.org/abs/cond-mat/0105503v1

Physica D181 (2003) 121-131

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, submitted to Phys. Rev. Lett

Scientific paper

10.1016/S0167-2789(03)00092-7

We investigate nonequilibrium behavior in (1+1)-dimensional stochastic field theories in the context of Ginzburg-Landau models at varying cooling rates. We argue that a reliable measure of the departure from thermal equilibrium can be obtained from the absolute value of the rate of change of the momentum-integrated structure function, $\Delta S_{\rm{tot}}$. We show that the peak of $\Delta S_{\rm{tot}}$ scales with the cooling, or quench, time-scale, $\tau_q$, in agreement with the prediction by Laguna and Zurek for the scaling of freeze-out time in both over and under-damped regimes. Furthermore, we show that the amplitude of the peak scales as $\tau_q^{-6/5}$ independent of the viscosity.

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