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

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

2004-10-14

arxiv.org/abs/cond-mat/0410364v2

Phys. Rev. E 71, 036703 (2005)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.71.036703

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.

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