Self-similar crossover in statistical physics

An analytical method is advanced for constructing interpolation formulae fo r complicated problems of statistical mechanics, in which just a few terms of asymptotic expansions are available. The method is based on the self-sim ilar approximation theory, being its variant where control functions are de fined from asymptotic crossover conditions. Several examples from statistic al physics demonstrate that the suggested method results in rather simple a nd surprisingly accurate formulae. (C) 1999 Elsevier Science B.V. All right s reserved.