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Unified Approach to Crossover Phenomena

S. Gluzman·V. I. Yukalov
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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.

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S. Gluzman, V. I. Yukalov. 1998-10-06. Unified Approach to Crossover Phenomena. https://doi.org/10.1103/physreve.58.4197

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