Scaling analysis of the d = 3 random field Ising model

Laurence Jacobs and Michael Nauenberg

Physica A: Statistical Mechanics and its Applications, 1984, vol. 128, issue 3, 529-534

Abstract: We present a Monte Carlo simulation of the d = 3 Ising model in a random magnetic field with values ±H on each lattice site. Calculations have been performed on cubic lattices with linear dimension L = 6, 8, 10 and 12, and several values of H. A finite-size scaling analysis of the data for H = 0.5, 0.75 and 1.0 is consistent with hyperscaling, and a correlation exponent v = 0.7 ± 0.1. For H = 1.50, 1.75 and 2.0 some of the L = 12 data show a discontinuity as a function of the inverse temperature β. The implications of these results are discussed.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:128:y:1984:i:3:p:529-534

DOI: 10.1016/0378-4371(84)90191-2

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