title: External dc bias-field effects in the nonlinear ac stationary response of dipolar particles in a mean-field potential.
abstract: External dc bias-field effects on the nonlinear dielectric relaxation and dynamic Kerr effect of a system of permanent dipoles in a uniaxial mean-field potential are studied via the rotational Brownian motion model postulated in terms of the infinite hierarchy of differential-recurrence equations for the statistical moments f_{n}(t)=〈P_{n}〉(t) (the expectation value of the Legendre polynomials P_{n}). By solving these equations, the nonlinear dielectric and Kerr-effect ac stationary responses are evaluated for arbitrary dc field strength via perturbation theory in the ac field. Simple analytic equations based on the large separation of the time scales of the fast intrawell and slow overbarrier (interwell) relaxation processes are also derived.
authors.affiliation: Department of Electronic and Electrical Engineering, Trinity College, Dublin 2, Ireland.
authors.forename: Nijun
authors.initials: N
authors.lastname: Wei
authors.affiliation: Laboratoire de Mathématiques et de Physique (LAMPS, EA4217), Université de Perpignan Via Domitia, F-66860, Perpignan, France.
authors.forename: Pierre-Michel
authors.initials: PM
authors.lastname: Déjardin
authors.affiliation: Laboratoire de Mathématiques et de Physique (LAMPS, EA4217), Université de Perpignan Via Domitia, F-66860, Perpignan, France.
authors.forename: Yuri P
authors.initials: YP
authors.lastname: Kalmykov
authors.affiliation: Department of Electronic and Electrical Engineering, Trinity College, Dublin 2, Ireland.
authors.forename: William T
authors.initials: WT
authors.lastname: Coffey