Unified Approach to Crossover Phenomena

Details Unified Approach to Crossover Phenomena Unified Approach to Crossover Phenomena

1998-10-06

arxiv.org/abs/cond-mat/9810046v1

Phys. Rev. E 58 (1998) 4197-4209

Physics

Condensed Matter

Statistical Mechanics

1 file, 19 pages, RevTex

Scientific paper

10.1103/PhysRevE.58.4197

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.

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