𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the memory function for the dynamic structure factor of interacting brownian particles

✍ Scribed by Bogdan Cichocki; Walter Hess

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
609 KB
Volume
141
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis

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.

The irreducible memory function M(k, t) can be interpreted as a dynamic viscosity. In contrast to earlier statements there is no discrepancy in the results, which are obtained from phase space approach (Fokker-Planck equation) and those obtained from the Smoluchowski equation.

πŸ“œ SIMILAR VOLUMES

Memory function approach to the dynamics
Memory function approach to the dynamics of interacting Brownian particles
✍ W. Dieterich; I. Peschel πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 708 KB

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.