We study the relaxational dynamics of the dilute Ising model in 2, 3 and 4D and compare the behaviour at the bond percolation threshold with that for the fully connected system. In the paramagnetic phase we find that the time dependent spin autocorrelation function, C(t) obeys a stretched exponential relaxation law: C(t) = exp(-Atn), with temperature dependent exponents n(T). The temperature dependence is found to vary systematically with spatial dimension d. We have investigated very large lattice systems of more than 107 spins for Monte-Carlo times of up to 512 steps/spin, following thermal equilibration. © 1992.
|Number of pages||2|
|Journal||Journal of Magnetism and Magnetic Materials|
|Issue number||PART 1|
|Publication status||Published - Feb 1992|