Effect of couplings weakening and reversing in ferromagnetic Ising systems---rigorous inequalities (Q2738172)

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scientific article; zbMATH DE number 1639340
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Effect of couplings weakening and reversing in ferromagnetic Ising systems---rigorous inequalities
scientific article; zbMATH DE number 1639340

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    30 August 2001
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    ferromagnetic Ising system
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    positive many-spin couplings
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    many-spin correlations
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    random field Ising models
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    Effect of couplings weakening and reversing in ferromagnetic Ising systems---rigorous inequalities (English)
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    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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