Multirange Ising model on the square lattice
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Universidade Federal de Minas Gerais
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Artigo de periódico
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We study the Ising model on the square lattice (Z2) and show, via numerical simulation, that allowing interactions between spins separated by distances 1 and m (two ranges), the critical temperature, Tc (m), converges monotonically to the critical temperature of the Ising model on Z4 as m→∞. Only interactions between spins located in directions parallel to each coordinate axis are considered. We also simulated the model with interactions between spins at distances of 1, m, and u (three ranges), with u a multiple of m; in this case our results indicate that Tc (m, u) converges to the critical temperature of the model on Z6. For percolation, analogous results were proven for the critical probability pc.
Abstract
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Probabilidade, Estatística, Ising model
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Mecânica Estatística, Ising model
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https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.052138