Effective Macroscopic Response of a Composite with Small Deviations from Periodicity: Application to Colloidal Crystals

Details Effective Macroscopic Response of a Composite with Small Deviations from Periodicity: Application to Colloidal Crystals Effective Macroscopic Response of a Composite with Small Deviations from Periodicity: Application to Colloidal Crystals

2002-07-26

arxiv.org/abs/cond-mat/0207645v1

Physics

Condensed Matter

Materials Science

Presented at ETOPIM-6. latex file requires espcrc2.sty

Scientific paper

10.1016/S0921-4526(03)00450-2

Using the spectral approach, we analyze the effective properties of a composite which deviates slightly from periodicity. We find that, when the inclusions are randomly displaced from their equilibrium positions, the sharp resonances seen in the periodic case are broadened, and an additional branch cut appears. We use these results to analyze the effective dielectric constant of a colloidal crystal.

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