Nonanalytic features of the first order phase transition in the Ising model

Abstract

The absence of the analytic continuation for the free energy near the point of the first order phase transition in thed-dimensional Ising model is proved. It is shown that thermodynamic functions in the metastable phase do not have certain values and can be derived only with an uncertaintyδ. The asymptotic expansion near the point of the phase transition yields the values of thermodynamic functions with the same uncertainty.