Novel domain growth law in random magnets

Debashish Chowdhury and B. Biswal

Physica A: Statistical Mechanics and its Applications, 1992, vol. 180, issue 3, 253-262

Abstract: We investigate the kinetics of domain growth in Ising magnets where a fraction 1 - p of the magnetic atoms or ions (spins) are randomly substituted by non-magnetic impurities. We argue that close to the percolation threshold pc, the statistical self-similarity of the underlying structure gives rise to a novel crossover in the growth law. We propose a method to detect any evidence of this new prediction from the kinetics of domain growth in the dilute Ising model (DIM) during intermediate time scales by carrying out Monte Carlo simulations not at p = pc but at slightly higher spin concentrations. We analyze the results of our extensive Monte Carlo simulation of the strongly diluted two-dimensional Ising model and find the growth to be consistent with the proposed scenario. We also compare our observations with those in the recent experiments on the kinetics of ordering in Rb2CopMg1−pF4.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:180:y:1992:i:3:p:253-262

DOI: 10.1016/0378-4371(92)90388-7

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