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Disorder-induced roughening in the three-dimensional ising model
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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Physical Review E, Volume 54, issue 21, pp. 14990-14993
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Using an exact method, we numerically study the zero-temperature roughness of interfaces in the random bond, cubic lattice, Ising model (of size L3, with L<~80). Interfaces oriented along the {100} direction undergo a roughening transition from a weak disorder phase, which is almost flat, to a strong disorder phase with interface width w∼cL0.42 (c is a function of the disorder). For random dilution we find the roughening threshold p∗=0.89±0.01 and c∼p∗−p for p<~p∗ (p is the volume fraction of present bonds). In contrast {111} interfaces are algebraically rough for all disorder.
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Alava, M J & Duxbury, P M 1996, 'Disorder-induced roughening in the three-dimensional ising model', Physical Review E, vol. 54, no. 21, pp. 14990-14993. https://doi.org/10.1103/PhysRevB.54.14990