Percolation in a three-dimensional non-symmetric multi-color loop model
Statistical Mechanics
2025-02-18 v1
Abstract
We conducted Monte Carlo simulations to analyze the percolation transition of a non-symmetric loop model on a regular three-dimensional lattice. We calculated the critical exponents for the percolation transition of this model. The percolation transition occurs at a temperature that is close to, but not exactly the thermal critical temperature. Our finite-size study on this model yielded a correlation length exponent that agrees with that of the three-dimensional XY model with an error margin of six per cent.
Cite
@article{arxiv.2502.10688,
title = {Percolation in a three-dimensional non-symmetric multi-color loop model},
author = {Soumya Kanti Ganguly and Sumanta Mukherjee and Chandan Dasgupta},
journal= {arXiv preprint arXiv:2502.10688},
year = {2025}
}