- 94-366 Fontes L.R.G., Neves E.J.
- Phase Uniqueness and Correlation Length in Diluted-Field Ising Models
Nov 28, 94
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Abstract. The Diluted-Field Ising Model, a random nonnegative field
ferromagnetic model, is shown to have a unique Gibbs measure
with probability 1 when the field mean is positive.
Our methods involve comparisons with ordinary uniform field
Ising models. They yield as a corollary a way of obtaining
spontaneous magnetization through the application of a
vanishing random magnetic field. We also establish existence
and nonrandomness of the correlation length of this model and
derive an upper bound for it in terms of the correlation length
of an ordinary nonrandom model with uniform field related to the
field distribution of the diluted model.