Random Infinite-Volume Gibbs States for the Curie-Weiss Random Field Ising Model

de Matos, A. M. G. Amaro and Patrick, A. E. and Zagrebnov, V. A. (1991) Random Infinite-Volume Gibbs States for the Curie-Weiss Random Field Ising Model. (Preprint)

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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.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:14
Last Modified:	17 Dec 2022 10:07
URI:	https://dair.dias.ie/id/eprint/749

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