ScholarlyCommons

Title

Finite-Size Scaling at the Jamming Transition

Author(s)

Carl P. Goodrich, University of Pennsylvania
Andrea J. Liu, University of PennsylvaniaFollow
Sidney R. Nagel, University of Chicago

Document Type

Journal Article

Date of this Version

8-27-2012

Abstract

We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N 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.

Comments

Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2012). Finite-Size Scaling at the Jamming Transition. Physical Review Letters, 109(9), 095704. doi: 10.1103/PhysRevLett.109.095704

© 2012 American Physical Society

Recommended Citation

Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2012). Finite-Size Scaling at the Jamming Transition. Retrieved from https://repository.upenn.edu/physics_papers/258