Magnetic relaxation of a system of superparamagnetic particles weakly coupled by dipole-dipole interactions

Details Magnetic relaxation of a system of superparamagnetic particles weakly coupled by dipole-dipole interactions Magnetic relaxation of a system of superparamagnetic particles weakly coupled by dipole-dipole interactions

2011-09-20

arxiv.org/abs/1109.4294v1

Physics

Condensed Matter

Statistical Mechanics

31 pages, 3 figures, regular article

Scientific paper

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.

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