Spinodals and transfer matrices ind=1models

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Abstract
A transfer-matrix method is used to study metastability with particular emphasis on the classical spinodal present in d=1 models when the interaction range goes to infinity. The ‘‘constrained’’ free energy and magnetization as a function of the external magnetic field is found for a number of models. The spinodal is found to be at the magnetic field where the metastable phase encounters a density of eigenvalues which approaches infinity as the interaction range approaches infinity.