English

Extended Scaling in High Dimensions

Statistical Mechanics 2009-11-13 v2

Abstract

We apply and test the recently proposed "extended scaling" scheme in an analysis of the magnetic susceptibility of Ising systems above the upper critical dimension. The data are obtained by Monte Carlo simulations using both the conventional Wolff cluster algorithm and the Prokof'ev-Svistunov worm algorithm. As already observed for other models, extended scaling is shown to extend the high-temperature critical scaling regime over a range of temperatures much wider than that achieved conventionally. It allows for an accurate determination of leading and sub-leading scaling indices, critical temperatures and amplitudes of the confluent corrections.

Keywords

Cite

@article{arxiv.0807.2546,
  title  = {Extended Scaling in High Dimensions},
  author = {Bertrand Berche and Christophe Chatelain and Chania Dhall and Ralph Kenna and Robert Low and Jean-Charles Walter},
  journal= {arXiv preprint arXiv:0807.2546},
  year   = {2009}
}

Comments

16 pages, 8 figures. Improved version to appear in JSTAT

R2 v1 2026-06-21T11:01:10.875Z