%0 Journal Article %T Dynamics of single-domain magnetic particles at elevated temperatures %A Michail Tzoufras %A Gregory J. Parker %A Michael K. Grobis %J Physics %D 2014 %I arXiv %R 10.1088/1367-2630/17/10/103014 %X A stochastic differential equation that describes the dynamics of single-domain magnetic particles at any temperature is derived using a classical formalism. The deterministic terms recover existing theory and the stochastic process takes the form of a mean-reverting random walk. In the ferromagnetic state diffusion is predominantly angular and the relevant diffusion coefficient increases linearly with temperature before saturating at the Curie point ($T_c$). Diffusion in the macrospin magnitude, while vanishingly small at room temperature, increases sharply as the system approaches $T_c$. Beyond $T_c$, in the paramagnetic state, diffusion becomes isotropic and independent of temperature. The stochastic macrospin model agrees well with atomistic simulations. %U http://arxiv.org/abs/1410.6980v4