Temperature-Pressure Scaling for Air-Fluidized Grains near Jamming

L. J. Daniels, T. K. Haxton, N. Xu, A. J. Liu, and D. J. Durian
Phys. Rev. Lett. 108, 138001 – Published 30 March 2012
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Abstract

We present experiments on a monolayer of air-fluidized beads in which a jamming transition is approached by increasing pressure, increasing packing fraction, and decreasing kinetic energy. This is accomplished, along with a noninvasive measurement of pressure, by tilting the system and examining behavior versus depth. We construct an equation of state and analyze relaxation time versus effective temperature. By making time and effective temperature dimensionless using factors of pressure, bead size, and bead mass, we obtain a good collapse of the data but to a functional form that differs from that of thermal hard-sphere systems. The relaxation time appears to diverge only as the effective temperature to pressure ratio goes to zero.

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  • Received 25 October 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.138001

© 2012 American Physical Society

Authors & Affiliations

L. J. Daniels1, T. K. Haxton2, N. Xu3, A. J. Liu1, and D. J. Durian1

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA
  • 2Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
  • 3Department of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China

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Vol. 108, Iss. 13 — 30 March 2012

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