Perspectives on the mode-coupling approximation for the dynamics of interacting Brownian particles
โ Scribed by Basu, Abhik; Ramaswamy, Sriram
- Book ID
- 120527730
- Publisher
- Institute of Physics
- Year
- 2007
- Tongue
- English
- Weight
- 692 KB
- Volume
- 2007
- Category
- Article
- ISSN
- 1742-5468
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๐ SIMILAR VOLUMES
We investigate some of the dynamic properties of diffusing particles described by a many-body Smoluchowski equation. The dynamic structure factor is expressed in terms of a memory function which is evaluated in the cases of i) weak interaction and ii) low particle density, but arbitrary interaction.
It is shown that the memory function of concentration fluctuations b?(k, t), derived from the generalized Smoluchowski equation, is not a one-particle irreducible quantity. A new function M(k, t), which is one-particle irreducible, is derived and the relation between both functions is established.