Quantifying nonequilibrium behavior with varying quenching rates

PHYSICA D-NONLINEAR PHENOMENA

卷:181

Article

Gagne, CJ ; Gleiser, M

关键词: nonequilibrium dynamics;    stochastic PDEs;    Ginzburg-Landau models;    finite quench rate;   

DOI  :  10.1016/S0167-2789(03)00092-7

来源: Elsevier

【 摘 要 】

We investigate the approach to thermal equilibrium of (I + I) -dimensional stochastic Ginzburg-Landau models at varying cooling rates. The nonequilibrium. dynamics is modeled by coupling the field to an external heat bath with damping rate eta. We argue that the departure from thermal equilibrium can be measured from the absolute value of the rate of change of the momentum-integrated structure function, Delta(t). If the field equilibration time-scale is faster than the cooling (or quench) time-scale tau(q), then Delta(t) --> 0. Otherwise, Delta(t) displays a peak which scales as tau(q)(n), with 1/3 less than or equal to n less than or equal to 1/2 as eta is varied from the underdamped to the overdamped limit. Furthermore, we show that the amplitude of the peak in Delta(t) measures the departure from equilibrium and scales as tau(q)(-6/5), independent of eta. (C) 2003 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free