Dimensional dependence of the Stokes-Einstein relation and its violation
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2013-10-28
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Abstract
We generalize to higher spatial dimensions the Stokes-Einstein relation (SER) as well as the leading correction to diffusivity in finite systems with periodic boundary conditions, and validate these results with numerical simulations. We then investigate the evolution of the high-density SER violation with dimension in simple hard sphere glass formers. The analysis suggests that this SER violation disappears around dimension d u = 8, above which it is not observed. The critical exponent associated with the violation appears to evolve linearly in 8 - d, below d = 8, as predicted by Biroli and Bouchaud [J. Phys.: Condens. Matter 19, 205101 (2007)], but the linear coefficient is not consistent with the prediction. The SER violation with d establishes a new benchmark for theory, and its complete description remains an open problem. © 2013 AIP Publishing LLC.
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Charbonneau, Benoit, Patrick Charbonneau, Yuliang Jin, Giorgio Parisi and Francesco Zamponi (2013). Dimensional dependence of the Stokes-Einstein relation and its violation. Journal of Chemical Physics, 139(16). 10.1063/1.4825177 Retrieved from https://hdl.handle.net/10161/17096.
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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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