Generalized hydrodynamics of systems of Brownian particles
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis Ltd in Advances in Physics
- Vol. 32 (2), 173-283
- https://doi.org/10.1080/00018738300101551
Abstract
A generalized hydrodynamic theory is developed for systems of interacting Brownian particles on the basis of a Fokker-Planck equation. General results are derived for correlation functions, frequency- and wave-vector dependent transport coefficients. Explicit expressions for moments, cumulants and the hydrodynamic limits of the transport coefficients are given. For the special cases of overdamped systems with and without hydrodynamic interaction the general results are simplified. As an example for the application of this approach the system of charged spherical polystyrene spheres in aqueous solution is treated in detail. The generalized transport functions are evaluated in mode-mode coupling approximation and detailed numerical results are presented for various collective and single-particle properties. Finally, the relationship to a corresponding Smoluchowski approach is discussed.Keywords
This publication has 100 references indexed in Scilit:
- Self-diffusion in a Coulomb lattice-gasZeitschrift für Physik B Condensed Matter, 1982
- Wave vector dependence of the effective diffusion coefficient of Brownian particlesThe Journal of Chemical Physics, 1981
- Diffusion of interacting particles: Light scattering study of microemulsionsThe Journal of Chemical Physics, 1981
- Concentration dependence of the self-diffusion coefficientThe Journal of Chemical Physics, 1980
- Brownian motion in periodic potentials; nonlinear response to an external forceZeitschrift für Physik B Condensed Matter, 1979
- Quasielastic light scattering study of charged polystrene particles in waterThe Journal of Chemical Physics, 1978
- Correlations for interacting Brownian particlesThe Journal of Chemical Physics, 1976
- The dynamics of interacting Brownian particlesJournal of Physics A: General Physics, 1975
- Polymer viscosity in concentrated solutionsThe Journal of Chemical Physics, 1974
- Effects of intermacromolecular interactions on diffusion. I. Two-component solutionsThe Journal of Chemical Physics, 1974