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.
Shape dependence of the finite-size scaling limit in a strongly anisotropic O(infinity) model / Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli, Andrea Pelissetto. - In: THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS. - ISSN 1434-6028. - 34:2(2003), pp. 205-217.
Shape dependence of the finite-size scaling limit in a strongly anisotropic O(infinity) model
Sergio Caracciolo;
2003
Abstract
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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