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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

(p.60) 1.2 Theory of Suspensions of Particles in Homogeneous Fields
Dielectric Relaxation in Biological Systems

Valerică Raicu

Oxford University Press

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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