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Critical scaling of shearing rheology at the jamming transition of soft-core frictionless disks

Peter Olsson and S. Teitel
Phys. Rev. E 83, 030302(R) – Published 17 March 2011

Abstract

We perform numerical simulations to determine the shear stress and pressure of steady-state shear flow in a soft-disk model in two dimensions at zero temperature in the vicinity of the jamming transition ϕJ. We use critical point scaling analyses to determine the critical behavior at jamming, and we find that it is crucial to include corrections to scaling for a reliable analysis. We find that the relative size of these corrections are much smaller for pressure than for shear stress. We furthermore find a superlinear behavior for pressure and shear stress above ϕJ, both from the scaling analysis and from a direct analysis of pressure data extrapolated to the limit of vanishing shear rate.

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  • Received 28 October 2010

DOI:https://doi.org/10.1103/PhysRevE.83.030302

©2011 American Physical Society

Authors & Affiliations

Peter Olsson1 and S. Teitel2

  • 1Department of Physics, Umeå University, S-901 87 Umeå, Sweden
  • 2Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA

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Issue

Vol. 83, Iss. 3 — March 2011

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