Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

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
Summary

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.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Long-time tracer diffusion of nonspherical brownian particles

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Vineyard-like approximations for colloid dynamics

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Axial and angular correlations between colloidal particles in narrow cylindrical pores

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Brownian motion of interacting nonspherical tracer particles: General theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1996
Same author

Rotational diffusion of nonspherical Brownian particles in a suspension of spheres.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1996
Same author

Tracer diffusion of nonspherical colloidal particles.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·1996

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.

Related Experiment Videos

  • * 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.