Absence of phase transition in the XY-model on Menger sponge
Statistical Mechanics
2015-06-17 v1 Superconductivity
Computational Physics
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
Cite
@article{arxiv.1310.4065,
title = {Absence of phase transition in the XY-model on Menger sponge},
author = {M. A. Przedborski and B. Mitrovic},
journal= {arXiv preprint arXiv:1310.4065},
year = {2015}
}
Comments
16 pages, 8 figures, accepted for publication in Physica A