Multiscaling at Point J: Jamming is a Critical Phenomenon

Details Multiscaling at Point J: Jamming is a Critical Phenomenon Multiscaling at Point J: Jamming is a Critical Phenomenon

2003-10-13

arxiv.org/abs/cond-mat/0310291v3

Phys. Rev. Lett. 95, 088001 (2005).

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures; extensive new numerical data; final version in press at PRL

Scientific paper

10.1103/PhysRevLett.95.088001

We analyze the jamming transition that occurs as a function of increasing packing density in a disordered two-dimensional assembly of disks at zero temperature for ``Point J'' of the recently proposed jamming phase diagram. We measure the total number of moving disks and the transverse length of the moving region, and find a power law divergence as the packing density increases toward a critical jamming density. This provides evidence that the T = 0 jamming transition as a function of packing density is a {\it second order} phase transition. Additionally we find evidence for multiscaling, indicating the importance of long tails in the velocity fluctuations.

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