English

Vibrational spectrum of topologically disordered systems

Disordered Systems and Neural Networks 2009-11-07 v2 Statistical Mechanics

Abstract

The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the particles oscillate around randomly distributed centers, interacting through a generic pair potential. We present results of a resummation of the perturbative expansion in the inverse particle density for the dynamic structure factor and density of states. This gives accurate results for the range of densities found in real systems.

Keywords

Cite

@article{arxiv.cond-mat/0102230,
  title  = {Vibrational spectrum of topologically disordered systems},
  author = {T. S. Grigera and V. Martin-Mayor and G. Parisi and P. Verrocchio},
  journal= {arXiv preprint arXiv:cond-mat/0102230},
  year   = {2009}
}

Comments

Completely rewritten version, accepted in Physical Review Letters

R2 v1 2026-07-22T10:16:41.337Z