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Overdamped van hove function of colloidal suspensions

Yeomans-Reyna1, Medina-Noyola

  • 1Instituto de Fisica "Manuel Sandoval Vallarta," Universidad Autonoma de San Luis Potosi, Alvaro Obregon 64, 78000 San Luis Potosi, SLP, Mexico.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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This study develops a generalized-hydrodynamic theory for colloidal suspensions, detailing the time evolution of collective diffusion. It clarifies the role of stress tensor contributions in the overdamped limit, improving theoretical understanding.

Area of Science:

  • * Physics
  • * Physical Chemistry
  • * Soft Matter Science

Background:

  • * Understanding collective diffusion in colloidal suspensions is crucial for materials science and fluid dynamics.
  • * Existing theories often simplify the complex dynamics of Brownian fluids, necessitating more rigorous approaches.

Purpose of the Study:

  • * To develop a generalized-hydrodynamic theory for collective diffusion in monodisperse colloidal suspensions.
  • * To elucidate the role of the stress tensor in the time evolution of the intermediate scattering function.
  • * To establish approximate relations between collective and self-intermediate scattering functions.

Main Methods:

  • * Application of Onsager-Machlup theory for time-dependent fluctuations.
  • * Derivation of time evolution for the intermediate scattering function F(k,t) using state variables: particle number concentration, particle current, and stress tensor.

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  • * Explicit separation of the stress tensor into kinetic and configurational contributions.

    • Main Results:

    • * The theory correctly captures the overdamped limit by separating stress tensor components.
    • * Neglecting non-Markovian configurational stress tensor memory recovers the single exponential memory approximation.
    • * Vineyard-like approximate relations are proposed between collective and self-intermediate scattering functions.

    Conclusions:

    • * The developed generalized-hydrodynamic theory provides a more accurate description of collective diffusion in colloidal systems.
    • * The separation of stress tensor components is essential for the proper overdamped limit.
    • * The study offers new approximations for relating collective and self-diffusion dynamics in Brownian fluids.