Theory of the jamming transition at finite temperature

E. Degiuli, E. Lerner, M. Wyart

    Research output: Contribution to journalArticle

    Abstract

    A theory for the microscopic structure and the vibrational properties of soft sphere glass at finite temperature is presented. With an effective potential, derived here, the phase diagram and vibrational properties are worked out around the Maxwell critical point at zero temperature T and pressure p. Variational arguments and effective medium theory identically predict a non-trivial temperature scale T<sup>∗</sup> ∼ p<sup>(2-a)/(1-a)</sup> with a ≈ 0.17 such that low-energy vibrational properties are hard-sphere like for T >∼ T<sup>∗</sup> and zero-temperature soft-sphere like otherwise. However, due to crossovers in the equation of state relating T, p, and the packing fraction φ, these two regimes lead to four regions where scaling behaviors differ when expressed in terms of T and φ. Scaling predictions are presented for the mean-squared displacement, characteristic frequency, shear modulus, and characteristic elastic length in all regions of the phase diagram.

    Original languageEnglish (US)
    Article number164503
    JournalJournal of Chemical Physics
    Volume142
    Issue number16
    DOIs
    StatePublished - Apr 28 2015

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    jamming
    Jamming
    Phase diagrams
    phase diagrams
    Temperature scales
    scaling
    temperature scales
    Equations of state
    Temperature
    temperature
    critical point
    crossovers
    equations of state
    Elastic moduli
    shear
    Glass
    glass
    predictions
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Physical and Theoretical Chemistry

    Cite this

    Theory of the jamming transition at finite temperature. / Degiuli, E.; Lerner, E.; Wyart, M.

    In: Journal of Chemical Physics, Vol. 142, No. 16, 164503, 28.04.2015.

    Research output: Contribution to journalArticle

    Degiuli, E. ; Lerner, E. ; Wyart, M. / Theory of the jamming transition at finite temperature. In: Journal of Chemical Physics. 2015 ; Vol. 142, No. 16.
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