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Nonequilibrium static diverging length scales on approaching a prototypical model glassy state

Author(s): Hopkins, Adam B.; Stillinger, Frank H.; Torquato, Salvatore

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Abstract: Maximally random jammed states of hard spheres are prototypical glasses. We study the small wavenumber k behavior of the structure factor S(k) of overcompressed million-sphere packings as a function of density up to the jammed state. We find both a precursor to the glassy jammed state evident long before the jamming density is reached and two associated growing length scales, one extracted from the volume integral of the direct correlation function c(r) and the other from the small-k behavior of the structure factor S(k), that can diverge at the "critical" jammed state. We also define a nonequilibrium index X and use it to demonstrate that the packings studied are intrinsically nonequilibrium in nature well before the critical state is reached. The extension of the results reported in the present work to supercooled atomic-liquid models in which the atoms interact with both repulsive and attractive forces is also discussed. © 2012 American Physical Society.
Publication Date: Aug-2012
Electronic Publication Date: 23-Aug-2012
Citation: Hopkins, Adam B., Stillinger, Frank H., Torquato, Salvatore. (2012). Nonequilibrium static diverging length scales on approaching a prototypical model glassy state. Physical Review E, 86 (2), 10.1103/PhysRevE.86.021505
DOI: doi:10.1103/PhysRevE.86.021505
ISSN: 1539-3755
EISSN: 1550-2376
Pages: 86, 021505-1 - 021505-5
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review E
Version: Final published version. This is an open access article.
Notes: Volume 86, Issue 2, 23 August 2012, Article number 021505

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