A microscopic model of the Stokes-Einstein relation in arbitrary dimension.

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Charbonneau, B; Charbonneau, P; Szamel, G

Published Date

  • June 2018

Published In

Volume / Issue

  • 148 / 22

Start / End Page

  • 224503 -

PubMed ID

  • 29907017

Electronic International Standard Serial Number (EISSN)

  • 1089-7690

International Standard Serial Number (ISSN)

  • 0021-9606

Digital Object Identifier (DOI)

  • 10.1063/1.5029464


  • eng