Head, DA (2009) Critical scaling and aging in cooling systems near the jamming transition. Physical Review Letters, 102 (13). ISSN 0031-9007
Abstract
We conduct athermal simulations of freely cooling, viscous soft spheres around the jamming transition density φJ and find evidence for a growing length ξ(t) that governs relaxation to mechanical equilibrium. ξ(t) is manifest in both the velocity correlation function and the spatial correlations in a scalar measure of local force balance which we define. Data for different densities φ can be collapsed onto two master curves by scaling ξ(t) and t by powers of |φ-φJ|, indicative of critical scaling. Furthermore, particle transport for φ>φJ exhibits aging and superdiffusion similar to a range of soft matter experiments, suggesting a common origin. Finally, we explain how ξ(t) at late times maps onto known behavior away from φJ.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2009, American Physical Society. This is an author produced version of a paper published in Physical Review Letters. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Critical Scaling; Force balances; Jamming transitions; Master curves; Mechanical equilibriums; Particle transports; Soft matters; Soft spheres; Spatial correlations; Superdiffusion; Velocity correlation functions |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Jun 2013 10:38 |
Last Modified: | 28 Mar 2018 18:21 |
Published Version: | http://dx.doi.org/10.1103/PhysRevLett.102.138001 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevLett.102.138001 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:75781 |