Quantifying nonequilibrium behavior with varying quenching rates
Abstract
We investigate the approach to thermal equilibrium of (1+1)dimensional stochastic GinzburgLandau models at varying cooling rates. The nonequilibrium dynamics is modeled by coupling the field to an external heat bath with damping rate η. We argue that the departure from thermal equilibrium can be measured from the absolute value of the rate of change of the momentumintegrated structure function, ∆( t). If the field equilibration timescale is faster than the cooling (or quench) timescale τ_{q}, then ∆( t)→0. Otherwise, ∆( t) displays a peak which scales as τ_{q}^{n}, with 1/3≤ n≤1/2 as η is varied from the underdamped to the overdamped limit. Furthermore, we show that the amplitude of the peak in ∆( t) measures the departure from equilibrium and scales as τ_{q}^{6/5}, independent of η.
 Publication:

Physica D Nonlinear Phenomena
 Pub Date:
 July 2003
 DOI:
 10.1016/S01672789(03)000927
 arXiv:
 arXiv:condmat/0105503
 Bibcode:
 2003PhyD..181..121G
 Keywords:

 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Phenomenology
 EPrint:
 4 pages, 4 figures, submitted to Phys. Rev. Lett