This article has an erratum: [erratum]
Volume 114, Number 2, April 2016
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||12 May 2016|
On variational arguments for vibrational modes near jamming
1 Kavli Institute for Theoretical Physics, University of California - Santa Barbara, CA 93106, USA
2 Institute of Theoretical Physics, École Polytechnique Fédérale de Lausanne - CH-1015 Lausanne, Switzerland
Received: 14 February 2016
Accepted: 4 May 2016
Amorphous solids tend to present an abundance of soft elastic modes, which diminish their transport properties, generate heterogeneities in their elastic response, and affect non-linear processes like thermal activation of plasticity. This is especially true in packings of particles near their jamming transition, for which effective medium theory and variational arguments can both predict the density of vibrational modes. However, recent numerics support that one hypothesis of the variational argument does not hold. We provide a novel variational argument which overcomes this problem, and correctly predicts the scaling properties of soft modes near the jamming transition. Soft modes are shown to be related to the response to a local strain in more connected networks, and to be characterized by a volume , where is the excess coordination above the Maxwell threshold. These predictions are verified numerically.
PACS: 63.50.Lm – Glasses and amorphous solids
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.