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 journalArticle

    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 languageEnglish (US)
    Pages (from-to)741-751
    Number of pages11
    JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Volume361
    Issue number1805
    DOIs
    StatePublished - Apr 15 2003

    Fingerprint

    Statistical mechanics
    statistical mechanics
    Statistical Mechanics
    Kinetic energy
    Strain rate
    Granular Flow
    Configuration
    Stokes Equations
    Strain Rate
    Rough
    shaking
    Minor
    configurations
    strain rate
    Analogue
    kinetic energy
    analogs

    Keywords

    • Colloids
    • Dynamics
    • Forces
    • Granular
    • Jamming

    ASJC Scopus subject areas

    • General

    Cite this

    Jammed systems in slow flow need a new statistical mechanics. / Brujić, Jasna; Edwards, Sam F.; Grinev, Dmitri; Tüzün, U.; Sherrington, D.; McLeish, T. C B.

    In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 361, No. 1805, 15.04.2003, p. 741-751.

    Research output: Contribution to journalArticle

    Brujić, Jasna ; Edwards, Sam F. ; Grinev, Dmitri ; Tüzün, U. ; Sherrington, D. ; McLeish, T. C B. / Jammed systems in slow flow need a new statistical mechanics. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2003 ; Vol. 361, No. 1805. pp. 741-751.
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