Stretched exponential decay at intermediate times in the onedimentional Ising model at low temperatures
Abstract
The linear response function of energy to a temperature perturbation is studied for the Glauber onedimensional kinetic Ising model. The relaxation is exponential in the limits of short and long times at any temperature. Nevertheless, while at high temperatures the relaxation is essentially dominated by the first exponential, it is analytically shown that as the temperature decreases, an intermediate time window develops inside which the response function decays as exp [(t/τ) ^{{1}/{2}}] . For T → 0, this function describes the relevant part of the relaxation.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 August 1993
 DOI:
 10.1016/03784371(93)90015V
 Bibcode:
 1993PhyA..197..569B