Dielectric behaviour of graded spherical cells with an intrinsic dispersion

Details Dielectric behaviour of graded spherical cells with an intrinsic dispersion Dielectric behaviour of graded spherical cells with an intrinsic dispersion

2004-05-21

arxiv.org/abs/cond-mat/0405502v1

Eur. Phys. J. E 14, 97 (2004)

Physics

Condensed Matter

Soft Condensed Matter

accepted by European Physical Journal E

Scientific paper

10.1140/epje/i2003-10142-3 10.10

The dielectric properties of single-shell spherical cells with an intrinsic dielectric dispersion has 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.

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