Effect of exchange interaction on superparamagnetic relaxation

Details Effect of exchange interaction on superparamagnetic relaxation Effect of exchange interaction on superparamagnetic relaxation

2002-10-09

arxiv.org/abs/cond-mat/0210199v3

Eur. Phys. Lett. 62 (2003) 650-656

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 eps figures, fig.1 of better quality can be provided upon request

Scientific paper

10.1209/epl/i2003-00423-y

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 $j\equiv J/K = j_c\equiv 1-h^2$, where $h\equiv H/2K$, which separates two regimes corresponding to a two-stage and one-stage switching. For $j\gg j_c$ the N\'eel-Brown result for the one-spin problem is recovered.

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