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Dielectric Relaxation in Biological SystemsPhysical Principles, Methods, and Applications$
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Valerica Raicu and Yuri Feldman

Print publication date: 2015

Print ISBN-13: 9780199686513

Published to Oxford Scholarship Online: August 2015

DOI: 10.1093/acprof:oso/9780199686513.001.0001

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Theory of Suspensions of Particles in Homogeneous Fields

Theory of Suspensions of Particles in Homogeneous Fields

Chapter:
(p.60) 1.2 Theory of Suspensions of Particles in Homogeneous Fields
Source:
Dielectric Relaxation in Biological Systems
Author(s):

Valerică Raicu

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199686513.003.0003

The Maxwell–Wagner or interfacial polarization introduced in Chapter 1.1 as a transient charge accumulation at the interface between two different dielectrics is treated mathematically in this chapter, starting with the simple case of a two-layered dielectric and continuing with dilute, random suspensions of homogeneous spherical and ellipsoidal particles. An entire section is then devoted to the dielectric modeling of single-shelled and multi-shelled particles; particular emphasis is placed on the predicted relationship between the number and electrical properties of the shells and the number of dielectric sub-dispersions. In the last section, derivations are introduced for the known mixture equations for concentrated suspensions of particles, in particular the Böttcher–Polder–Van Santen and the Bruggeman–Hanai theories, which take into account far-field interactions between induced Maxwell–Wagner dipoles.

Keywords:   Maxwell–Wagner relaxation, interfacial polarization, dielectric modeling, cell suspensions, near-field effects, far-field effects, Böttcher–Polder–Van Santen theory, Bruggeman–Hanai theory, dilute suspensions, concentrated suspensions

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