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

doi:10.1103/PhysRevE.83.030303

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

Soft Condensed Matter 2015-05-20 v2 Disordered Systems and Neural Networks Statistical Mechanics

Authors: 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.

Keywords

finite-size scaling jamming transition correlation length critical exponent corrections to scaling soft core disks packing fraction

Cite

@article{arxiv.1010.4752,
  title  = {Finite-Size-Scaling at the Jamming Transition: Corrections to Scaling and the Correlation Length Critical Exponent},
  author = {Daniel Vagberg and Daniel Valdez-Balderas and M. A. Moore and Peter Olsson and S. Teitel},
  journal= {arXiv preprint arXiv:1010.4752},
  year   = {2015}
}

Comments

5 pages, 4 figures -- slightly revised version as accepted for Phys. Rev. E Rapid Communications

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

Abstract

Keywords

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