Nonlinear ac dielectric response in polyelectrolytes
- Conference date: 25–30 September 2007
- Location: Corfu (Greece)
The problem of the nonlinear harmonic response in dielectric relaxation of polyelectrolytes is considered in the context of coupled (rotation‐translation) kinetic equations. Perturbation theory is used to derive the complex dielectric increment for an assembly of non‐polar rodlike macroions surrounded by small counterions and acted on by a strong dc bias electric field superimposed on a weak ac field. The approach starts from a Smoluchowski equation in configuration space of molecular orientations (∂) and displacements (x) first used for Kerr effect relaxation by Szabo et al. [J. Chem. Phys. 85, 7472 (1986)]. By solving this equation for the stationary regime, we calculate the expectation value of where and stand for the first Legendre and Hermite polynomials, characterizing the first harmonic component of the electric polarization of the macroion. The results so obtained in the form of analytic expressions are illustrated by Cole‐Cole‐like diagrams and three‐dimensional dispersion and absorption plots in order to show the influence of the coupling parameter a measuring the importance of the rotational motion over the translational one.
- Alternating current power transmission
- Dielectric relaxation
- Dielectric response
- Direct current power transmission
- Electric fields
- Kerr effects
- Perturbation theory
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