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

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

2001-01-09

arxiv.org/abs/cond-mat/0101110v1

M. Schwartz, A. Efrat and J.L.Monroe, J. Math. Phys. V41, 6090 (2000)

Physics

Condensed Matter

Statistical Mechanics

ps, 5 pages, no figures

Scientific paper

10.1063/1.1286769

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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