A microscopic model of the Stokes-Einstein relation in arbitrary dimension.
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2018-06
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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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Charbonneau, Benoit, Patrick Charbonneau and Grzegorz Szamel (2018). A microscopic model of the Stokes-Einstein relation in arbitrary dimension. The Journal of chemical physics, 148(22). p. 224503. 10.1063/1.5029464 Retrieved from https://hdl.handle.net/10161/17394.
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Patrick Charbonneau
Patrick Charbonneau is Professor of Physics at Duke University. His research in soft matter and statistical physics uses theory and computer simulations to study glassy materials and frustrated systems. He also contributes to the history of science, curating projects on quantum and statistical physics as well as food history.
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