Universal scaling behavior at the upper critical dimension of non-equilibrium continuous phase transitions
Statistical Mechanics
2009-11-10 v1
Abstract
In this work we analyze the universal scaling functions and the critical exponents at the upper critical dimension of a continuous phase transition. The consideration of the universal scaling behavior yields a decisive check of the value of the upper critical dimension. We apply our method to a non-equilibrium continuous phase transition. But focusing on the equation of state of the phase transition it is easy to extend our analysis to all equilibrium and non-equilibrium phase transitions observed numerically or experimentally.
Keywords
Cite
@article{arxiv.cond-mat/0307353,
title = {Universal scaling behavior at the upper critical dimension of non-equilibrium continuous phase transitions},
author = {S. Lubeck and P. C. Heger},
journal= {arXiv preprint arXiv:cond-mat/0307353},
year = {2009}
}
Comments
4 pages, 3 figures