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Finite-Size Scaling at the Jamming Transition

Carl P. Goodrich, Andrea J. Liu, and Sidney R. Nagel
Phys. Rev. Lett. 109, 095704 – Published 27 August 2012
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Abstract

We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1N correction to the discrete jump in the contact number at the transition so that jammed packings exist only above isostaticity. As a result, the canonical power-law scalings of the contact number and elastic moduli break down at low pressure. These quantities exhibit scaling collapse with a nontrivial scaling function, demonstrating that the jamming transition can be considered a phase transition. Scaling is achieved as a function of N in both two and three dimensions, indicating an upper critical dimension of 2.

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  • Received 21 April 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.095704

© 2012 American Physical Society

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Getting into a Proper Jam

Published 27 August 2012

Numerical simulations are revealing general properties of jammed states of matter.

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Authors & Affiliations

Carl P. Goodrich and Andrea J. Liu*

  • Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

Sidney R. Nagel

  • James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA

  • *ajliu@physics.upenn.edu

See Also

Soft-Sphere Packings at Finite Pressure but Unstable to Shear

Simon Dagois-Bohy, Brian P. Tighe, Johannes Simon, Silke Henkes, and Martin van Hecke
Phys. Rev. Lett. 109, 095703 (2012)

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Vol. 109, Iss. 9 — 31 August 2012

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