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Dielectric Response of a Chain of Disordered Polarizable Spheres: Numerical Simulation and Theory

Published online by Cambridge University Press:  25 February 2011

Pedro VillaseiÑor-Gonzalez
Affiliation:
Instituto de Física, Universidad Autónoma de San Luis Potosí, 78000 San Luis Potosí, Míxico
Cecilia Noguez
Affiliation:
Facultad de Ciencias, Universidad Nacional Autónoma de México, 01000 México D.F., México Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000 México D.F., México
Ruben G. Barrera
Affiliation:
Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000 México D.F., México
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Abstract

We applied to a one-dimensional system (1D) a recently developed diagrammatic formalism, in order to calculate the effective dielectric response of a chain of polarizable spheres embeded in an homogeneous host. The effective response is calculated within the dipolar, quasi-static approximation, through the summation of selected classes of diagrams. We compared our results with a numerical simulation, where the position of each sphere was generated at random and the induced dipole moment of each sphere was calculated by solving a set of linear equations through matrix inversion and using periodic boundary conditions.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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References

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