We consider the Ising model on Z×Z where on each horizontal line {(x,i),x∈Z} the interaction is given by a ferromagnetic Kac potential with coupling strength Jγ(x,y)∼γJ(γ(x−y)) at the mean field critical temperature. We then add a nearest neighbor ferromagnetic vertical interaction of strength ϵ and prove that for every ϵ>0 the systems exhibits phase transition provided γ>0 is small enough.
Layered Systems at the Mean Field Critical Temperature
MEROLA, IMMACOLATA;
2015
Abstract
We consider the Ising model on Z×Z where on each horizontal line {(x,i),x∈Z} the interaction is given by a ferromagnetic Kac potential with coupling strength Jγ(x,y)∼γJ(γ(x−y)) at the mean field critical temperature. We then add a nearest neighbor ferromagnetic vertical interaction of strength ϵ and prove that for every ϵ>0 the systems exhibits phase transition provided γ>0 is small enough.File in questo prodotto:
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