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

Materials Science 2009-11-07 v1 Disordered Systems and Neural Networks

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0207645,
  title  = {Effective Macroscopic Response of a Composite with Small Deviations from Periodicity: Application to Colloidal Crystals},
  author = {Sergey V. Barabash and David Stroud},
  journal= {arXiv preprint arXiv:cond-mat/0207645},
  year   = {2009}
}

Comments

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