Ising model simulation in directed lattices and networks

Details Ising model simulation in directed lattices and networks Ising model simulation in directed lattices and networks

2005-05-19

arxiv.org/abs/cond-mat/0505477v2

Physics

Condensed Matter

Statistical Mechanics

Expanded to 8 pages: additional author, additional results

Scientific paper

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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