Self-Similar Crossover in Statistical Physics

V. I. Yukalov; S. Gluzman

doi:10.1016/s0378-4371(99)00235-6

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arXiv · cond-mat/0001447

Self-Similar Crossover in Statistical Physics

V. I. Yukalov·S. Gluzman

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Abstract

An analytical method is advanced for constructing interpolation formulae for complicated problems of statistical mechanics, in which just a few terms of asymptotic expansions are available. The method is based on the self-similar approximation theory, being its variant where control functions are defined from asymptotic crossover conditions. Several examples from statistical physics demonstrate that the suggested method results in rather simple and surprisingly accurate formulae.

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V. I. Yukalov, S. Gluzman. 2000-01-31. Self-Similar Crossover in Statistical Physics. https://doi.org/10.1016/s0378-4371(99)00235-6

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