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.
Memory function approach to the dynamics of interacting Brownian particles
โ Scribed by W. Dieterich; I. Peschel
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 708 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0378-4371
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โฆ Synopsis
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. A one-dimensional system with a hard-core pair potential is treated explicitly. Furthermore, by including a periodic single-particle potential, a model is obtained which has relevance to superionic conductors. For this case we discuss bow the frequencydependent conductivity is affected by the correlated motion of particles.
๐ SIMILAR VOLUMES
situation is almost always somewhere between these two In this paper the dynamic aspects of colloid particle interaction model descriptions. during Brownian coagulation are considered. The disequilibration In preceding paper (5) we developed a model which of double layers is due to incomplete relax
Tenjin 4-chome, Chuo-ku. Fukuoka 810, Japan. \* Incidentally, the three BD resultsat o = 1.5 X 10m4 in fii. 1 have also been compared by Ohtsuki [ 121 with his theory which, unlike the present one. applies to concentrated systems.