Finite-size scaling at the jamming transition: Corrections to scaling and the correlation-length critical exponent

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Finite-size scaling at the jamming transition: Corrections to scaling and the correlation-length critical exponent

Daniel Vågberg, Daniel Valdez-Balderas, M. A. Moore, Peter Olsson, and S. Teitel

Phys. Rev. E 83, 030303(R) – Published 28 March 2011

Abstract

We carry out a finite-size scaling analysis of the jamming transition in frictionless bidisperse soft core disks in two dimensions. We consider two different jamming protocols: (i) quench from random initial positions and (ii) quasistatic shearing. By considering the fraction of jammed states as a function of packing fraction for systems with different numbers of particles, we determine the spatial correlation length critical exponent $ν \approx 1$ and show that corrections to scaling are crucial for analyzing the data. We show that earlier numerical results yielding $ν < 1$ are due to the improper neglect of these corrections.

Received 22 October 2010

DOI:https://doi.org/10.1103/PhysRevE.83.030303

Authors & Affiliations

Daniel Vågberg¹, Daniel Valdez-Balderas^2,*, M. A. Moore³, Peter Olsson¹, and S. Teitel²

¹Department of Physics, Umeå University, SE-901 87 Umeå, Sweden
²Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA
³School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom

^*Current address: School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester M13 9PL, United Kingdom.

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Vol. 83, Iss. 3 — March 2011

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Physical Review E

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