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arXiv · 1601.00277

Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models

Lisha Sia·Xiaoyun Liao·Nengji Zhou
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Abstract

With the developed "extended Monte Calro" (EMC) algorithm, we have studied the depinning transition in Ising-type lattice models by extensive numerical simulations, taking the random-field Ising model with a driving field and the driven bond-diluted Ising model as examples. In comparison with the usual Monte Carlo method, the EMC algorithm exhibits greater efficiency of the simulations. Based on the short-time dynamic scaling form, both the transition field and critical exponents of the depinning transition are determined accurately via the large-scale simulations with the lattice size up to L = 8 912, significantly refining the results in earlier literature. In the strong-disorder regime, a new universality class of the Ising-type lattice model is unveiled with the exponents {\beta} = 0.304(5), {\nu} = 1.32(3), z = 1.12(1), and {\zeta} = 0.90(1), quite different from that of the quenched Edwards-Wilkinson equation.

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BibTeXRIS

Lisha Sia, Xiaoyun Liao, Nengji Zhou. 2016-01-03. Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models. https://doi.org/10.1016/j.cpc.2016.08.009

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