Fractal Structure of Spin Clusters and Domain Walls in 2D Ising Model
Statistical Mechanics
2009-11-10 v2
Abstract
The fractal structure of spin clusters and their boundaries in the critical two-dimensional (2D) Ising model is investigated numerically. The fractal dimensions of these geometrical objects are estimated by means of Monte Carlo simulations on relatively small lattices through standard finite-size scaling. The obtained results are in excellent agreement with theoretical predictions and partly provide significant improvements in precision over existing numerical estimates.
Keywords
Cite
@article{arxiv.cond-mat/0410364,
title = {Fractal Structure of Spin Clusters and Domain Walls in 2D Ising Model},
author = {Wolfhard Janke and Adriaan M. J. Schakel},
journal= {arXiv preprint arXiv:cond-mat/0410364},
year = {2009}
}
Comments
8 pages, 8 figures; v2: minor changes in text, various plots are put in one figure