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Effect of couplings weakening and reversing in ferromagnetic Ising systems - Rigorous inequalities

Moshe Schwartz·Avishay Efrat·James L. Monroe
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Abstract

We consider Ising systems where all the many-spin couplings $J_A$ are positive. We show that the absolute value of all the many-spin correlations does not increase when the value of any of the couplings is reduced, taking any value in the interval $[-J_A,J_A]$. Results of this type are motivated by work in systems such as random field Ising models.

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Moshe Schwartz, Avishay Efrat, James L. Monroe. 2001-01-09. Effect of couplings weakening and reversing in ferromagnetic Ising systems - Rigorous inequalities. https://doi.org/10.1063/1.1286769

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