Shape dependence of the finite-size scaling limit in a strongly anisotropic $O(\infty)$ model

Details Shape dependence of the finite-size scaling limit in a strongly anisotropic $O(\infty)$ model Shape dependence of the finite-size scaling limit in a strongly anisotropic $O(\infty)$ model

2003-04-12

arxiv.org/abs/cond-mat/0304297v1

Eur.Phys.J. B34 (2003) 205-217

Physics

Condensed Matter

Statistical Mechanics

21 pages, 4 figures

Scientific paper

10.1140/epjb/e2003-00213-5

We discuss the shape dependence of the finite-size scaling limit in a strongly anisotropic O(N) model in the large-N limit. We show that scaling is observed even if an incorrect value for the anisotropy exponent is considered. However, the related exponents may only be effective ones, differing from the correct critical exponents of the model. We discuss the implications of our results for numerical finite-size scaling studies of strongly anisotropic systems.

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