• Corpus ID: 249191786

Stability of uniqueness and coexistence of equilibrium states of the Ising model under long range perturbations

  title={Stability of uniqueness and coexistence of equilibrium states of the Ising model under long range perturbations},
  author={Shunsuke Usuki},
. In this paper, we study perturbations of the d -dimensional Ising model for d ≥ 2, including long range ones to which the Pirogov-Sinai theory is not applicable. We show that the uniqueness of the equilibrium state of the Ising model at high temperature and the coexistence of equilibrium states at low temperature are preserved by spin-flip symmetric perturbations. 


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