Jammed systems in slow flow need a new statistical mechanics

Jasna Brujić; Sam F. Edwards; Dmitri Grinev; U. Tüzün; D. Sherrington; T. C.B. McLeish

doi:10.1098/rsta.2002.1162

Jammed systems in slow flow need a new statistical mechanics

Jasna Brujić, Sam F. Edwards, Dmitri Grinev, U. Tüzün, D. Sherrington, T. C.B. McLeish

Research output: Contribution to journal › Article › peer-review

Abstract

The slow dynamics of granular flow is studied as an extension of static granular problems, which, as a consequence of shaking or related regimes, can be studied by the methods of statistical mechanics. For packed (i.e. 'jammed'), hard and rough objects, kinetic energy is a minor and ignorable quantity, as is strain. Hence, in the static case, the stress equations need supplementing by 'missing equations' depending solely on configurations. These are in the literature; this paper extends the equilibrium studies to slow dynamics, claiming that the strain rate (which is a consequence of flow, not of elastic strain) takes the place of stress, and as before, the analogue of Stokes's equation has to be supplemented by new 'missing equations' which are derived and which depend only on configurations.

Original language	English (US)
Pages (from-to)	741-751
Number of pages	11
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	361
Issue number	1805
DOIs	https://doi.org/10.1098/rsta.2002.1162
State	Published - Apr 15 2003

Keywords

Colloids
Dynamics
Forces
Granular
Jamming

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)
Physics and Astronomy(all)

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10.1098/rsta.2002.1162

Cite this

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AU - Edwards, Sam F.

AU - Grinev, Dmitri

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AU - Sherrington, D.

AU - McLeish, T. C.B.

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Jammed systems in slow flow need a new statistical mechanics

Abstract

Keywords

ASJC Scopus subject areas

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