Effect of exchange interaction on superparamagnetic relaxation

Abstract

We use Langer's approach to calculate the reaction rate of a system of two (classical) spins interacting via the exchange coupling J in a magnetic field H, with uniaxial anisotropy of constant K. We find a particular value of the exchange coupling, that is j J/K = jc 1-h2, where h H/2K, which separates two regimes corresponding to a two-stage and one-stage switching. For j jc the N\'eel-Brown result for the one-spin problem is recovered.

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