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Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model |
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| Authors: | J. M. G. Amaro de Matos A. E. Patrick V. A. Zagrebnov |
| Affiliation: | (1) INSEAD, F-77305 Fontainebleau, France;(2) Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, USSR;(3) Present address: Dublin Institute for Advanced Studies, Dublin 4, Ireland;(4) Present address: Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, 3001 Heverlee, Belgium |
| Abstract: | An approach to the definition of infinite-volume Gibbs states for the (quenched) random-field Ising model is considered in the case of a Curie-Weiss ferromagnet. It turns out that these states are random quasi-free measures. They are random convex linear combinations of the free product-measures  shifted by the corresponding effective mean fields. The conditional self-averaging property of the magnetization related to this randomness is also discussed.This paper is dedicated to Robert A. Minlos on the occasion of his 60th birthday. |
| Keywords: | Random-field Ising model Gibbs states self-averaging |
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