On some modified spherical models

AUTOR(ES)

Barrett, Wayne W.

RESUMO

A one parameter family of models is considered which for zero value of the parameter α reduces to the familiar spherical model. The models for α > 0 have a symmetry close to that of an Ising model. A heuristic discussion of phase transitions in these models leads to the conjecture that, if the spherical model (α = 0) exhibits a phase transition, then so do the models with α > 0, and that moreover the critical temperature remains the same, at least for sufficiently small α. The conjecture is checked on a mean field model.

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