Finite-Range Scaling Method to Analyze Systems with Infinite-Range Interactions
Statistical Mechanics
2015-05-14 v2 High Energy Physics - Phenomenology
Quantum Physics
Abstract
We propose a new practical method for evaluating the critical coupling constant in one-dimensional long-range interacting systems. We assume a finite-range scaling and define its exponent for the logarithm of the susceptibility. We find criticality in the form of a zeta function singularity. As an example, we present results for a long-range Ising model.
Cite
@article{arxiv.0910.5071,
title = {Finite-Range Scaling Method to Analyze Systems with Infinite-Range Interactions},
author = {Ken-Ichi Aoki and Tamao Kobayashi and Hiroshi Tomita},
journal= {arXiv preprint arXiv:0910.5071},
year = {2015}
}
Comments
6 pages, 4 figures