Dilution dependence of the relaxation time in the dilute Ising model

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, , Citation D Chowdhury and D Stauffer 1986 J. Phys. A: Math. Gen. 19 L19 DOI 10.1088/0305-4470/19/1/005

0305-4470/19/1/L19

Abstract

The magnetisation M in a three-dimensional Ising model, with only a fraction p of sites occupied randomly with spins, is found by Monte Carlo simulation to relax to zero logarithmically in time. The logarithm of the nonlinear relaxation time integral M(t) dt varies roughly as 1/(pc-p)1/2 in the paramagnetic region.

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10.1088/0305-4470/19/1/005