Unified Approach to Crossover Phenomena

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.

1 file, 19 pages, RevTex

References in corpus (5)

• Temporal Dynamics in Perturbation Theory
• Critical Indices as Limits of Control Functions
• Self-Similar Bootstrap of Divergent Series
• Algebraic Self-Similar Renormalization in Theory of Critical Phenomena
• Thermodynamics of Strong Interactions

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