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Pressure distribution and critical exponent in statically jammed and shear-driven frictionless disks
Umeå University, Faculty of Science and Technology, Department of Physics.
University of Rochester, USA.
Umeå University, Faculty of Science and Technology, Department of Physics.
University of Rochester, USA.
2014 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 89, no 2, 022201- p.Article in journal (Refereed) Published
Abstract [en]

We numerically study the distributions of global pressure that are found in ensembles of statically jammed and quasistatically sheared systems of bidisperse, frictionless disks at fixed packing fraction phi in two dimensions. We use these distributions to address the question of how pressure increases as phi increases above the jamming point phi(J), p similar to |phi - phi(J) |(y). For statically jammed ensembles, our results are consistent with the exponent y being simply related to the power law of the interparticle soft-core interaction. For sheared systems, however, the value of y is consistent with a nontrivial value, as found previously in rheological simulations.

Place, publisher, year, edition, pages
2014. Vol. 89, no 2, 022201- p.
Keyword [en]
jamming, granular matter, critical exponents, pressure ditribution
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:umu:diva-84194DOI: 10.1103/PhysRevE.89.022201ISI: 000332178900011OAI: oai:DiVA.org:umu-84194DiVA: diva2:680180
Note

Originally published in dissertation in manuscript form.

Available from: 2013-12-17 Created: 2013-12-17 Last updated: 2017-12-06Bibliographically 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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