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A Realistic Model for a Spin Glass

Published online by Cambridge University Press:  25 February 2011

James A. Given  and
George Stell
James A. Given
Affiliation:
Department of Chemistry, State University of New York at Stony Brook, N.Y. 11794, U.S.A
George Stell
Affiliation:
Department of Chemistry, State University of New York at Stony Brook, N.Y. 11794, U.S.A
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Abstract

We develop exact integral equations satisfied by the spin-spin correlation functions of a realistic spin glass model. This is done by considering the magnetic particles in a spin glass to be bound states of hard sphere ‘atoms’ and classical ‘spins’, the former of which are quenched in position, while the latter are allowed to equilibrate. We develop the replica Ornstein-Zernike (ROZ) equations, which are satisfied by the correlation functions of such a partly quenched mixture. We prove that two widely used OZ closures, the Percus-Yevick approximation and mean-spherical approximation are indifferent to quenched disorder, i.e., they give tihe same results for quenched and for fully annealed systems. We extend the ROZ equations to apply to the spin glass by using the proper interaction-site formalism. Preliminary numerical results are discussed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 248: Symposium O – Complex Fluids , 1991 , 511
Copyright
Copyright © Materials Research Society 1992

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References

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