1998/05/04 by D. Cule, Dinko Cule, S. Torquato +3
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Mechanical and Optical Resonators #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9805030
4 pages, RevTeX
arxiv created 1998/05/04 · openalex publication_date 1998/05/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Spatial fluctuations of the local electric field induced by a constant applied electric field in composite media are studied analytically and numerically. It is found that the density of states for the fields exhibit sharp peaks and abrupt changes in the slope at certain critical points which are analogous to van Hove singularities in the density of states for phonons and electrons in solids. As in solids, these singularities are generally related to saddle and inflection points in the field spectra and are of considerable value in the characterization of the field fluctuations. The critical points are very prominent in dispersions with a regular, ``crystal-like'', structure. However, they broaden and eventually disappear as the disorder increases.