Vibrations and diverging length scales near the unjamming transition.

We numerically study the vibrations of jammed packings of particles interacting with finite-range, repulsive potentials at zero temperature. As the packing fraction phi is lowered towards the onset of unjamming at phi(c), the density of vibrational states approaches a nonzero value in the limit of zero frequency. For phi >phi(c), there is a crossover frequency, omega* below which the density of states drops towards zero. This crossover frequency obeys power-law scaling with phi-phi(c). Characteristic length scales, determined from the dominant wave vector contributing to the eigenmode at omega*, diverge as power laws at the unjamming transition.

• Publication year

  2005

• Venue

  Physical Review Letters

• Publication date

  2005-01-26

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.95.098301arXiv cond-mat/0501616PMID 16197259
• 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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