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Diffusion and velocity auto-correlation at the jamming transition
Umeå University, Faculty of Science and Technology, Department of Physics.
2010 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 81, no 4, 040301- p.Article in journal (Refereed) Published
Abstract [en]

We perform numerical simulations to examine particle diffusion at steady shear  in a soft-disk model in two dimensions and zero temperature around the jamming  density. We find that the diffusion constant depends on shear rate as  D\sim\dot\gamma below jamming and as D\sim\dot\gamma^{q_D} with q_D<1 at the  transition, and set out to relate this to properties of the velocity  auto-correlation function. It is found that this correlation function is  governed by two processes with different time scales. The first time scale,  the inverse of the externally applied shear rate, controls an exponential  decay of the correlations whereas the second time scale, equal to the inverse  shear stress, governs an algebraic decay with time. The obtained value of  q_D is related to these properties of the correlation function.

Place, publisher, year, edition, pages
The American Physical Society , 2010. Vol. 81, no 4, 040301- p.
Keyword [en]
jamming, critical phenomenon, velocity autocorrelation
National Category
Condensed Matter Physics
Research subject
URN: urn:nbn:se:umu:diva-35818DOI: 10.1103/PhysRevE.81.040301ISI: 000277265700004OAI: diva2:349379
Available from: 2010-09-07 Created: 2010-09-07 Last updated: 2010-11-08Bibliographically approved

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Olsson, Peter
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