Unified Approach to Crossover Phenomena
Statistical Mechanics
2009-10-31 v1
Abstract
A general analytical method is developed for describing crossover phenomena of arbitrary nature. The method is based on the algebraic self-similar renormalization of asymptotic series, with control functions defined by crossover conditions. The method can be employed for such difficult problems for which only a few terms of asymptotic expansions are available, and no other techniques are applicable. As an illustration, analytical solutions for several important physical problems are presented.
Cite
@article{arxiv.cond-mat/9810046,
title = {Unified Approach to Crossover Phenomena},
author = {S. Gluzman and V. I. Yukalov},
journal= {arXiv preprint arXiv:cond-mat/9810046},
year = {2009}
}
Comments
1 file, 19 pages, RevTex