Abstract
A simple analytic equation which allows one to obtain a qualitative understanding of the physical processes underlying the behavior of the longitudinal complex susceptibility χ ||( ω) of an assembly of noninteracting uniaxial superparamagnetic particles subjected to a strong external uniform DC magnetic field is derived in the context of Brown's model of magnetic relaxation. It is shown that a knowledge of 3 time constants characterizing the magnetization relaxation, viz. the integral relaxation time τ, the effective relaxation time τ ef, and the inverse of the smallest eigenvalue λ 1 of the Fokker–Planck operator are sufficient to accurately predict the spectrum of χ ||( ω) in all frequency ranges of interest as well as the behavior of the equilibrium correlation function of the longitudinal component of the magnetization C ||( t) in the time domain at all values of the barrier and external field parameters.
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