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Cited by 391

The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.

Generalized hydrodynamics of systems of Brownian particles

Hess, W., Klein, R.·1983·Advances in Physics

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.

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Crossref · 10.1080/00018738300101551

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Metadata

Authors
Hess, W., & Klein, R.
Venue
Advances in Physics
Published
1983-01
Volume
32
Issue
2
Pages
173-283
ISSN
  • 0001-8732 (ISSN-L)
  • 1460-6976
OpenAlex
W2035164551
Cited by
391
References
38
FWCI
11.13
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Generalized hydrodynamics of systems of Brownian particles. https://app.cochat.ai/papers/10.1080/00018738300101551
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Hess, W., & Klein, R. (1983). Generalized hydrodynamics of systems of Brownian particles. Advances in Physics. https://doi.org/10.1080/00018738300101551

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.