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

Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli and Andrea Pelissetto

First issued 12 April 2003 · PDF

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.

Versions

1. Version 1 (arXiv v1) current
   12 April 2003
   arXiv comments: 21 pages, 4 figures
   PDF · LaTeX source · files and digests · arXiv:cond-mat/0304297

Cite

Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli and Andrea Pelissetto. Shape dependence of the finite-size scaling limit in a strongly anisotropic $O(\infty)$ model. Papers of Massimiliano Gubinelli, 2003, version 1. https://mgubi.org/papers/paper/anisotropic-finite-size-shape/

Licence: arXiv.org non-exclusive license to distribute, assumed for submissions of 1991-2003; all other rights reserved to the authors

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