We consider an Ising system in $\nu=2$ dimensions with a ferromagnetic Kac potential whose scaling parameter is denoted by $\gamma$. We will show that for any $\ga$ sufficiently small every Gibbs state is translational invariant. Taking account of the result on the phase diagram \cite{BMP}, our result implies that below the critical temperature, for any $\ga$ sufficiently small there exist only two pure phases
On the absence of non-translational invariant Gibbs states in two dimensions
MEROLA, IMMACOLATA
2000-01-01
Abstract
We consider an Ising system in $\nu=2$ dimensions with a ferromagnetic Kac potential whose scaling parameter is denoted by $\gamma$. We will show that for any $\ga$ sufficiently small every Gibbs state is translational invariant. Taking account of the result on the phase diagram \cite{BMP}, our result implies that below the critical temperature, for any $\ga$ sufficiently small there exist only two pure phasesFile in questo prodotto:
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