Absence of phase transition in the XY-model on Menger sponge
MA Przedborski, B Mitrović - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
Physica A: Statistical Mechanics and its Applications, 2014•Elsevier
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.
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.
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.
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