Abstract
The rotational diffusion equation for a dipole in the presence of an oscillating fieldis solved by expansion of the orientational distribution function in terms ofLegendre polynomials and harmonics. The nonlinear response of the averagedipole moment is studied as a function of field strength and frequency. Outsidethe linear regime the in-phase and out-of-phase response as functions of frequencydo not satisfy Kramers–Kronig relations. A comparison is made with thenonlinear response calculated from approximate macroscopic relaxation equationsproposed by Shliomis and by Martsenyuk et al. The response of a macroscopicsystem of interacting dipoles is calculated in the mean-field approximation for aspherical sample.
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