Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures

Abstract

We analyze the d-dimensional Blume-Emery-Griffiths model in the disordered region of parameters and we show that its free energy can be explicitly written in term of a series which is absolutely convergent at any temperature in an unbounded portion of this region. As a byproduct we also obtain an upper bound for the number of d-dimensional fixed polycubes of size n.

To appear in Journal of Statistical Mechanics: Theory and Experiment

References in corpus (1)

• Cluster expansion for abstract polymer models. New bounds from an old approach

Cited by in corpus (2)

• Uniqueness of the Gibbs state of the BEG model in the disordered region of parameters
• The Blume-Emery-Griffiths model at the FAD and AD interfaces