UNIFIED APPROACH TO CROSSOVER PHENOMENA

Authors
GLUZMAN S YUKALOV VI
Citation
S. Gluzman et Vi. Yukalov, UNIFIED APPROACH TO CROSSOVER PHENOMENA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4197-4209
Citations number
95
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
4
Year of publication
1998
Pages
4197 - 4209
Database
ISI
SICI code
1063-651X(1998)58:4<4197:UATCP>2.0.ZU;2-X
Abstract
A general analytical method is developed for describing crossover phen omena of arbitrary nature. The method is based on the algebraic self-s imilar renormalization of asymptotic series, with control functions de fined by crossover conditions. The method can be employed for such dif ficult problems for which only a few terms of asymptotic, expansions a re available and no other techniques are applicable. As an illustratio n, analytical solutions for several important physical problems are pr esented. [S1063-651X(98)14009-6].