A microscopic model of the Stokes-Einstein relation in arbitrary dimension.
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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.
SubjectScience & Technology
Physics, Atomic, Molecular & Chemical
Published Version (Please cite this version)10.1063/1.5029464
Publication InfoCharbonneau, Benoit; Charbonneau, Patrick; & Szamel, Grzegorz (2018). A microscopic model of the Stokes-Einstein relation in arbitrary dimension. The Journal of chemical physics, 148(22). pp. 224503. 10.1063/1.5029464. Retrieved from https://hdl.handle.net/10161/17394.
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Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation to understand the glass problem, protein crystallization, microphase formation, and colloidal assembly in external fields.