Finite-Size Scaling at the Jamming Transition: Corrections to Scaling and the Correlation-Length Critical Exponent
2011 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 83, no 3, 030303- p.Article in journal (Refereed) Published
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≈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.
Place, publisher, year, edition, pages
American Physical Society , 2011. Vol. 83, no 3, 030303- p.
jamming, finite size scaling
Condensed Matter Physics
IdentifiersURN: urn:nbn:se:umu:diva-52155DOI: 10.1103/PhysRevE.83.030303ISI: 000288857400001OAI: oai:DiVA.org:umu-52155DiVA: diva2:499275
FunderSwedish Research Council, 2010-3725