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Ising model simulation in directed lattices and networks

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  • Lima, F.W.S.
  • Stauffer, D.

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 Barabási–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.

Suggested Citation

  • Lima, F.W.S. & Stauffer, D., 2006. "Ising model simulation in directed lattices and networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 423-429.
    • Handle: RePEc:eee:phsmap:v:359:y:2006:i:c:p:423-429
    DOI: 10.1016/j.physa.2005.05.085
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    Cited by:

    1. Gunter M. Schutz & Fernando Pigeard de Almeida Prado & Rosemary J. Harris & Vladimir Belitsky, 2007. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Papers 0801.0003, arXiv.org, revised Jun 2009.
    2. Schütz, Gunter M. & de Almeida Prado, Fernando Pigeard & Harris, Rosemary J. & Belitsky, Vladimir, 2009. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4126-4144.

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