Configurational temperatures and interactions in charge-stabilized colloid

Yilong Han, David G. Grier

    Research output: Contribution to journalArticle

    Abstract

    A system's temperature can be expressed in terms of its constituents' instantaneous positions rather than their momenta. Such configurational temperature definitions offer substantial benefits for experimental studies of soft condensed matter systems, most notably their applicability to overdamped systems whose instantaneous momenta may not be accessible. We demonstrate that the configurational temperature formalism can be derived from the classical hypervirial theorem, and introduce a hierarchy of hyperconfigurational temperature definitions, which are particularly well suited for experimental studies. We then use these analytical tools to probe the electrostatic interactions in monolayers of charge-stabilized colloidal spheres confined by parallel glass surfaces. The configurational and hyperconfigurational temperatures, together with a thermodynamic sum rule, provide previously lacking self-consistency tests for interaction measurements based on digital video microscopy, and thereby cast light on controversial reports of confinement-induced like-charge attractions. We further introduce a method to determine unknown parameters in a model potential by using consistency of the configurational and hyperconfigurational temperatures as a set of constraints. This approach, in principle, also should provide the basis for a model-free estimation of the pair potential.

    Original languageEnglish (US)
    Article number064907
    JournalJournal of Chemical Physics
    Volume122
    Issue number6
    DOIs
    StatePublished - 2005

    Fingerprint

    Colloids
    colloids
    interactions
    Temperature
    temperature
    Momentum
    momentum
    Coulomb interactions
    sum rules
    attraction
    hierarchies
    casts
    Monolayers
    Microscopic examination
    theorems
    Thermodynamics
    electrostatics
    formalism
    microscopy
    Glass

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Configurational temperatures and interactions in charge-stabilized colloid. / Han, Yilong; Grier, David G.

    In: Journal of Chemical Physics, Vol. 122, No. 6, 064907, 2005.

    Research output: Contribution to journalArticle

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