The crossover region between long-range and short-range interactions for the critical exponents
Statistical Mechanics
2014-12-30 v1
Abstract
It is well know that systems with an interaction decaying as a power of the distance may have critical exponents that are different from those of short-range systems. The boundary between long-range and short-range is known, however the behavior in the crossover region is not well understood. In this paper we propose a general form for the crossover function and we compute it in a particular limit. We compare our predictions with the results of numerical simulations for two-dimensional long-range percolation.
Cite
@article{arxiv.1407.3358,
title = {The crossover region between long-range and short-range interactions for the critical exponents},
author = {Edouard Brezin and Giorgio Parisi and Federico Ricci-Tersenghi},
journal= {arXiv preprint arXiv:1407.3358},
year = {2014}
}
Comments
17 pages, 6 figures