Finite-size scaling at the jamming transition.

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.

• Publication year

  2012

• Venue

  Physical Review Letters

• Publication date

  2012-04-22

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.109.095704arXiv 1204.4915PMID 23002856
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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