Scaling law of Wolff cluster surface energy

Details Scaling law of Wolff cluster surface energy Scaling law of Wolff cluster surface energy

2003-04-02

arxiv.org/abs/cond-mat/0304068v1

Phys. Rev. B 67, 172403 (2003)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures. To appear in PRB

Scientific paper

10.1103/PhysRevB.67.172403

We study the scaling properties of the clusters grown by the Wolff algorithm on seven different Sierpinski-type fractals of Hausdorff dimension $1 < d_f \le 3$ in the framework of the Ising model. The mean absolute value of the surface energy of Wolff cluster follows a power law with respect to the lattice size. Moreover, we investigate the probability density distribution of the surface energy of Wolff cluster and are able to establish a new scaling relation. It enables us to introduce a new exponent associated to the surface energy of Wolff cluster. Finally, this new exponent is linked to a dynamical exponent via an inequality.

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