arXiv:cond-mat/0410364 Abstract

arXiv:cond-mat/0410364Abstract References Reviews Resources

Fractal Structure of Spin Clusters and Domain Walls in 2D Ising Model

Published 2004-10-14, updated 2005-03-18Version 2

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.

Comments: 8 pages, 8 figures; v2: minor changes in text, various plots are put in one figure

Journal: Phys. Rev. E 71, 036703 (2005)

DOI: 10.1103/PhysRevE.71.036703

Categories: cond-mat.stat-mech

Keywords: 2d ising model, fractal structure, spin clusters, domain walls, monte carlo simulations

Tags: journal article

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