Memory effects in the diffusion of an interacting polydisperse suspension

R.B. Jones and G.S. Burfield

Physica A: Statistical Mechanics and its Applications, 1982, vol. 111, issue 3, 577-590

Abstract: We consider the diffusion of a low density suspension of polydisperse hard spheres. In a previous article (I) we have obtained at long wavelength a general expression to first order in density for the memory matrix appropriate to such a system. In the present article we evaluate the memory matrix in closed form using a certain approximations for the hydrodynamic interaction and for the 2-body propagator. We find that memory effects convert the exponential decay of density correlation functions to long time power law decay of the form t-52. We consider the so-called long time self-diffusion constant and show that memory effects to first order in density are negligible compared to the first cumulant contribution. Our treatment shows that for hard sphere systems it is essential to treat the short distance hydrodynamic forces accurately.

Date: 1982
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843718290053X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:111:y:1982:i:3:p:577-590

DOI: 10.1016/0378-4371(82)90053-X

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().