Stretched exponential decay of the spincorrelation function in the kinetic Ising model below the critical temperature
Abstract
The equilibrium longtime behavior of the autocorrelation function <S_{i}(0)S_{i}(t)>_{c} =<S_{i}(0)S_{i}(t)><S_{i}>^{2} of the ith spin S_{i} in the kinetic Ising model is studied below the critical temperature. Based on the expansion of the correlation function into exponentially relaxing modes and on the fact that relaxation rates of these modes constitute a continuous spectrum from zero, it is argued that <S_{i}(0)S_{i}(t)>_{c} decays stretched exponentially as exp[Dt^{(d1)/(d+1)}] in the ddimensional system. The results of Monte Carlo simulation on the square lattice support the stretchedexponential decay.
 Publication:

Physical Review B
 Pub Date:
 March 1988
 DOI:
 10.1103/PhysRevB.37.3716
 Bibcode:
 1988PhRvB..37.3716T
 Keywords:

 64.60.Ht;
 05.70.Fh;
 Dynamic critical phenomena;
 Phase transitions: general studies