title: Finite-size scaling at the jamming transition: corrections to scaling and the correlation-length critical exponent.
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 ≈ 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.
authors.affiliation: Department of Physics, Umeå University, SE-90187 Umeå, Sweden.
authors.forename: Daniel
authors.initials: D
authors.lastname: Vågberg
authors.forename: Daniel
authors.initials: D
authors.lastname: Valdez-Balderas
authors.forename: M A
authors.initials: MA
authors.lastname: Moore
authors.forename: Peter
authors.initials: P
authors.lastname: Olsson
authors.forename: S
authors.initials: S
authors.lastname: Teitel