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

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.

ps, 5 pages, no figures

Cited by in corpus (1)

• Random field Ising systems on a general hierarchical lattice: Rigorous inequalities