Ising model simulation in directed lattices and networks

F. W. S. Lima; D. Stauffer

doi:10.1016/j.physa.2005.05.085

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arXiv · cond-mat/0505477

Ising model simulation in directed lattices and networks

F. W. S. Lima·D. Stauffer

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Abstract

On directed lattices, with half as many neighbours as in the usual undirected lattices, the Ising model does not seem to show a spontaneous magnetisation, at least for lower dimensions. Instead, the decay time for flipping of the magnetisation follows an Arrhenius law on the square and simple cubic lattice. On directed Barabasi-Albert networks with two and seven neighbours selected by each added site, Metropolis and Glauber algorithms give similar results, while for Wolff cluster flipping the magnetisation decays exponentially with time.

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F. W. S. Lima, D. Stauffer. 2005-05-24. Ising model simulation in directed lattices and networks. https://doi.org/10.1016/j.physa.2005.05.085

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