Abstract
We present an analysis of finite-size effects in jammed packings of soft, frictionless spheres at zero temperature. There is a 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 in both two and three dimensions, indicating an upper critical dimension of 2.
- Received 21 April 2012
DOI:https://doi.org/10.1103/PhysRevLett.109.095704
© 2012 American Physical Society
Viewpoint
Getting into a Proper Jam
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