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Vibrational Spectrum of Topologically Disordered Systems

2001/02/28 by Tomás S. Grigera, T. S. Grigera, V. Martin-Mayor +4 · 1 citation
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.87.085502

published as Phys. Rev. Lett. 87, 085502 (2001) · Completely rewritten version, accepted in Physical Review Letters

arxiv created 2001/07/04 · openalex publication_date 2001/08/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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