Direct evidence for weak universality on fractal structures

Pascal Monceau and Pai-Yi Hsiao

Physica A: Statistical Mechanics and its Applications, 2004, vol. 331, issue 1, 1-9

Abstract: We provide a direct quantitative evidence that the critical behavior of the Ising model on self-similar lattices depends upon the geometrical features of the underlying structure. Intensive Monte Carlo simulations enable to show that the values of the ratio of exponents γ/ν depend upon the lacunarity of the structure, which measures the deviation from the translational symmetry. Finally, the topological character of the scaling corrections when the fractal dimension is smaller than 2 is discussed.

Keywords: Phase transitions; Fractal; Critical slowing down; Cluster Monte Carlo algorithm (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:331:y:2004:i:1:p:1-9

DOI: 10.1016/j.physa.2003.09.045

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