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Vibrations and relaxations in a soft sphere glass: boson peak and structure factors

2004/06/26 by H. R. Schober, H R Schober · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Material Dynamics and Properties #Thermal properties of materials #cond-mat.dis-nn

paper · pdf · doi:10.1088/0953-8984/16/27/005

published as J. Phys.: Condens. Matter 16, S2659 (2004)

openalex publication_date 2004/06/26 · arxiv created 2005/02/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

The dynamics of a soft sphere model glass, studied by molecular dynamics, is investigated. The vibrational density of states divided by ω 2 shows a pronounced boson peak. Its shape is in agreement with the universal form derived for soft oscillators interacting with sound waves. The excess vibrations forming the boson peak have mainly transverse character. From the dynamic structure factor in the Brillouin regime pseudo dispersion curves are calculated. Whereas the longitudinal phonons are well defined up to the pseudo zone boundary the transverse ones rapidly get over-damped and go through the Ioffe–Regel limit near the boson peak frequency. In the high q regime constant-ω scans of the dynamic structure factor for frequencies around the boson peak are clearly distinct from those for zone boundary frequencies. Above the Brillouin regime, the scans for the low frequency modes follow closely the static structure factor. This still holds after a deconvolution of the exact harmonic eigenmodes into local and extended modes. Also the structure factor for local relaxations at finite temperatures resembles the static one. This semblance between the structure factors mirrors the collective motion of chain-like structures in both low frequency vibrations and atomic hopping processes, observed in the earlier investigations.

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