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

Bogdan Cichocki and Walter Hess

Physica A: Statistical Mechanics and its Applications, 1987, vol. 141, issue 2, 475-488

Abstract: It is shown that the memory function of concentration fluctuations M̃(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.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:141:y:1987:i:2:p:475-488

DOI: 10.1016/0378-4371(87)90176-2

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