Magnetic relaxation of a system of superparamagnetic particles weakly coupled by dipole-dipole interactions
arXiv:1109.4294 · doi:10.1063/1.3665886
Abstract
The effect of long range dipole-dipole interactions on the thermal fluctuations of the magnetization of an assembly of single-domain ferromagnetic particles is considered. If orientational correlations between the particles are neglected, the evolution of the magnetization orientations may be described by a nonlinear Fokker-Planck equation (FPE) reducing to the usual linear one in the limit of infinite dilution [W.F. Brown Jr, Phys. Rev. 130, 1677 (1963)]. The thermally activated relaxation time scale of the assembly is estimated, leading to a simple modification of the axially symmetric asymptotes for the superparamagnetic relaxation time.
31 pages, 3 figures, regular article
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Cited by in corpus (11)
- Thermal fluctuations of magnetic nanoparticles
- Dipolar-coupled moment correlations in clusters of magnetic nanoparticles
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- AC susceptibility as a tool to probe the dipolar interaction in magnetic nanoparticles
- Autoresonant control of the magnetization switching in single-domain nanoparticles
- AC susceptibility of an assembly of nanomagnets: combined effects of surface anisotropy and dipolar interactions
- The magnetic structure factor of correlated moments in small-angle neutron scattering
- Stochastic dynamics of collective modes for Brownian dipoles
- Magnetic Relaxation in Two Dimensional Assembly of Dipolar Interacting Nanoparticles
- Dipolar Ising Model: Phases, Growth Laws and Universality
- Magnetization Reversal in Two-dimensional Ensemble of Nanoparticles with Positional Defects