Abstract:
A new technique is developed for constructing sufficient conditions for ordering in the onedimensional Ising model. A phase transition is guaranteed by an inequality which is weaker than Dyson's condition. The method is extended to systems of more dimensions. A simple method is proposed for proving Griffiths's inequalities.
Citation:
V. I. Kolomytsev, A. V. Rokhlenko, “Sufficient conditions for ordering of an Ising ferromagnet”, TMF, 35:3 (1978), 322–331; Theoret. and Math. Phys., 35:3 (1978), 487–493