Relation between quenched and annealed random ferromagnetic systems

Moshe Schwartz

doi:10.1016/0375-9601(79)90519-X

Relation between quenched and annealed random ferromagnetic systems

Moshe Schwartz^*

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A sufficient condition for the average of the product of two functions of many variables to be larger than the product of their averages is obtained. The theorem is used to show that the spin-spin correlation function in a ferromagnetic quenched Ising system is bound from above by the same correlation in the corresponding annealed system. Possible extension of this result to a much wider class of models is discussed.

Original language	English
Pages (from-to)	37-40
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	72
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(79)90519-X
State	Published - 11 Jun 1979

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10.1016/0375-9601(79)90519-X

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AB - A sufficient condition for the average of the product of two functions of many variables to be larger than the product of their averages is obtained. The theorem is used to show that the spin-spin correlation function in a ferromagnetic quenched Ising system is bound from above by the same correlation in the corresponding annealed system. Possible extension of this result to a much wider class of models is discussed.

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Relation between quenched and annealed random ferromagnetic systems

Abstract

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