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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2003

Scaling law of Wolff cluster surface energy

Résumé

We study the scaling properties of the clusters grown by the Wolff algorithm on seven different Sierpinskitype fractals of Hausdorff dimension 1,df<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 the Wolff cluster and are able to establish a different scaling relation. It enables us to introduce an exponent that is associated to the surface energy of the Wolff cluster. Finally, this exponent is linked to a dynamical exponent via an inequality.

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hal-00701562 , version 1 (25-05-2012)

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Pai-Yi Hsiao, Pascal Monceau. Scaling law of Wolff cluster surface energy. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2003, 67 (17), pp.172403. ⟨10.1103/PhysRevB.67.172403⟩. ⟨hal-00701562⟩
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