Transient nonlinear dielectric relaxation and dynamic Kerr effect from sudden changes of a strong dc electric field: Polar and polarizable molecules

J. L. Déjardin, P. M. Déjardin, Yu. P. Kalmykov, and S. V. Titov
Phys. Rev. E 60, 1475 – Published 1 August 1999
PDFExport Citation

Abstract

The nonlinear transient response of polar and polarizable particles (macromolecules) diluted in a nonpolar solvent to a sudden change both in magnitude and in direction of a strong external dc field is considered. By averaging the underlying Langevin equation, the infinite hierarchy of differential-recurrence equations for ensemble averages of the spherical harmonics is derived for an assembly of polar and anisotropically polarizable molecules pertaining to the noninertial rotational Brownian motion. On solving this hierarchy, the relaxation functions and relaxation times appropriate to the transient dynamic Kerr effect and nonlinear dielectric relaxation are calculated. The calculations are accomplished using the matrix continued fraction method, which allows us to express exactly the solution of the infinite hierarchy of differential-recurrence relations for the first- and second-order transient responses of the ensemble averages of the spherical harmonics (relaxation functions). The results are then compared with available experimental data and solutions previously obtained for various particular cases.

  • Received 3 March 1999

DOI:https://doi.org/10.1103/PhysRevE.60.1475

©1999 American Physical Society

Authors & Affiliations

J. L. Déjardin*, P. M. Déjardin, and Yu. P. Kalmykov

  • Centre d’Etudes Fondamentales, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex, France

S. V. Titov

  • Institute of Radio Engineering and Electronics of the Russian Academy of Sciences, Vvedenskii Square 1, Fryazino, Moscow Region 141120, Russian Federation

  • *Author to whom correspondence should be addressed.

References (Subscription Required)

Click to Expand
Issue

Vol. 60, Iss. 2 — August 1999

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×