Critical indices from self-similar root approximants
Statistical Mechanics
2017-12-20 v1
Abstract
The method of self-similar root approximants has earlier been shown to provide accurate interpolating formulas for functions for which small-variable expansions are given and the behaviour of the functions at large variables is known. Now this method is generalized for the purpose of extrapolating small-variable expansions to the region of finite and large variables, where the sought function exhibits critical behaviour. The procedure of calculating critical indices is formulated and illustrated by a variety of physical problems.
Cite
@article{arxiv.1712.06940,
title = {Critical indices from self-similar root approximants},
author = {S. Gluzman and V. I. Yukalov},
journal= {arXiv preprint arXiv:1712.06940},
year = {2017}
}