Universal Non-Debye Scaling in the Density of States of Amorphous Solids.
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At the jamming transition, amorphous packings are known to display anomalous vibrational modes with a density of states (DOS) that remains constant at low frequency. The scaling of the DOS at higher packing fractions remains, however, unclear. One might expect to find a simple Debye scaling, but recent results from effective medium theory and the exact solution of mean-field models both predict an anomalous, non-Debye scaling. Being mean-field in nature, however, these solutions are only strictly valid in the limit of infinite spatial dimension, and it is unclear what value they have for finite-dimensional systems. Here, we study packings of soft spheres in dimensions 3 through 7 and find, away from jamming, a universal non-Debye scaling of the DOS that is consistent with the mean-field predictions. We also consider how the soft mode participation ratio evolves as dimension increases.
Published Version (Please cite this version)10.1103/PhysRevLett.117.045503
Publication InfoCharbonneau, Patrick; Corwin, Eric I; Parisi, G; Poncet, A; & Zamponi, Francesco (2016). Universal Non-Debye Scaling in the Density of States of Amorphous Solids. Phys Rev Lett, 117(4). pp. 045503. 10.1103/PhysRevLett.117.045503. Retrieved from https://hdl.handle.net/10161/15331.
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Associate Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation to understand the glass problem, protein crystallization, microphase formation, and colloidal assembly in external fields.