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Updated: Feb 8, 2026

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
A microscopic model of the Stokes-Einstein relation in arbitrary dimension
Benoit Charbonneau1, Patrick Charbonneau2, Grzegorz Szamel3
1Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G3, Canada.
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.
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