Dielectric behaviour of graded spherical cells with an intrinsic dispersion
Department of Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
2 Trinity College, University of Cambridge, Cambridge CB2 1TQ, United Kingdom
3 Max Planck Institute for Polymer Research, Ackermannweg 10, 55128, Mainz, Germany
* e-mail: email@example.com
Published online: 2 June 2004
The dielectric properties of single-shell spherical cells with an intrinsic dielectric dispersion have been investigated. By means of the dielectric dispersion spectral representation (DDSR) for the Clausius-Mossotti (CM) factor, we express the dispersion strengths as well as the characteristic frequencies of the CM factor analytically in terms of the parameters of the cell model. These analytic expressions enable us to assess the influence of various model parameters on the electrokinetics of cells. Various interesting behaviours have been reported. We extend our considerations to a more realistic cell model with a graded core, which can have spatial gradients in the conductivity and/or permittivity. To this end, we address the effects of a graded profile in a small-gradient expansion in the framework of DDSR.
© EDP Sciences, Società Italiana di Fisica, and Springer-Verlag, 2004