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
Titolo: | On the absence of non-translational invariant Gibbs states in two dimensions |
Autori: | |
Data di pubblicazione: | 2000 |
Rivista: | |
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 phases |
Handle: | http://hdl.handle.net/11697/14509 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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