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arXiv · 1010.4752

Finite-Size-Scaling at the Jamming Transition: Corrections to Scaling and the Correlation Length Critical Exponent

Daniel Vagberg·Daniel Valdez-Balderas·M. A. Moore·Peter Olsson·S. Teitel
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Abstract

We carry out a finite size scaling analysis of the jamming transition in frictionless bi-disperse 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 $\nu\approx 1$, and show that corrections to scaling are crucial for analyzing the data. We show that earlier numerical results yielding $\nu<1$ are due to the improper neglect of these corrections.

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Daniel Vagberg, Daniel Valdez-Balderas, M. A. Moore, Peter Olsson, S. Teitel. 2010-10-22. Finite-Size-Scaling at the Jamming Transition: Corrections to Scaling and the Correlation Length Critical Exponent. https://doi.org/10.1103/physreve.83.030303

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