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Finite-Size Scaling at the Jamming Transition: Corrections to Scaling and the Correlation-Length Critical Exponent
Umeå University, Faculty of Science and Technology, Department of Physics.
Dept of Phys and Astr, Univ of Rochester, Rochester, NY14627.
School of Phys and Astr, The Univ of Manchester, Manchester M13 9PL, UK.
Umeå University, Faculty of Science and Technology, Department of Physics.
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2011 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 83, no 3, 030303- p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
jamming, finite size scaling
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:umu:diva-52155DOI: 10.1103/PhysRevE.83.030303ISI: 000288857400001OAI: oai:DiVA.org:umu-52155DiVA: diva2:499275
Funder
Swedish Research Council, 2010-3725
Available from: 2012-02-13 Created: 2012-02-13 Last updated: 2017-12-07Bibliographically approved
In thesis
1. Jamming and Soft-Core Rheology
Open this publication in new window or tab >>Jamming and Soft-Core Rheology
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Many different physical systems, such as granular materials, colloids, foams and emulsions exhibit a jamming transition where the system changes from a liquid-like flowing state to a solid jammed state as the packing fraction increases. These systems are often modeled using soft-core particles with repulsive contact forces. In this thesis we explore several different dynamical models for these kinds of systems, and see how they affect the behavior around the jamming transition. We investigate the effect of different types of dissipative forces on the rheology, and study how different methods of preparing a particle configuration affect their probability to jam when quenched. We study the rheology of sheared systems close to the jamming transition. It has been proposed that the athermal jamming transition is controlled by a critical point, point J, with certain scaling properties. We investigate this using multivariable scaling analysis based on renormalization group theory to explore the scaling properties of the transition and determine the position of point J and some of the critical exponents.

Place, publisher, year, edition, pages
Umeå: Umeå Universitet, 2013. 56 p.
Keyword
jamming, rheology, soft matter, granular material, SLLOD, critical point, critical scaling
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:umu:diva-84200 (URN)978-91-7459-784-4 (ISBN)
Public defence
2014-01-17, KB3A9 (Lilla hörsalen), Umeå University KBC building, Umeå, 10:00 (English)
Opponent
Supervisors
Available from: 2013-12-19 Created: 2013-12-17 Last updated: 2013-12-19Bibliographically approved

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