A Microscopic Model of the Stokes-Einstein Relation in Arbitrary Dimension
Statistical Mechanics
2018-06-15 v2
Abstract
The Stokes-Einstein relation (SER) is one of the most robust and widely employed results from the theory of liquids. Yet sizable deviations can be observed for self-solvation, which cannot be explained by the standard hydrodynamic derivation. Here, we revisit the work of Masters and Madden [J. Chem. Phys. 74, 2450-2459 (1981)], who first solved a statistical mechanics model of the SER using the projection operator formalism. By generalizing their analysis to all spatial dimensions and to partially structured solvents, we identify a potential microscopic origin of some of these deviations. We also reproduce the SER-like result from the exact dynamics of infinite-dimensional fluids.
Cite
@article{arxiv.1803.02229,
title = {A Microscopic Model of the Stokes-Einstein Relation in Arbitrary Dimension},
author = {Benoit Charbonneau and Patrick Charbonneau and Grzegorz Szamel},
journal= {arXiv preprint arXiv:1803.02229},
year = {2018}
}
Comments
20 pages