Absence of phase transition in the XY-model on Menger sponge

M.A. Przedborski and B. Mitrović

Physica A: Statistical Mechanics and its Applications, 2014, vol. 399, issue C, 89-97

Abstract: We have performed a Monte Carlo study of the classical XY-model on a Menger sponge with the Wolff cluster algorithm (U. Wolff, 1989). The Menger sponge is a fractal object with infinite order of ramification and fractal dimension D=log(20)/log(3)=2.7268. From the dependence of the helicity modulus on system size and on boundary conditions, we conclude that there is no phase transition in the system at any finite temperature.

Keywords: XY-model; Fractal; Menger sponge; Monte Carlo simulations (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:399:y:2014:i:c:p:89-97

DOI: 10.1016/j.physa.2013.10.023

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