Browsing Pure Mathematics by Author "Charbonneau, Patrick"
Now showing items 1-3 of 3
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Dimensional dependence of the Stokes-Einstein relation and its violation
Charbonneau, Benoit; Charbonneau, Patrick; Jin, Yuliang; Parisi, Giorgio; Zamponi, Francesco (American Institute of Physics, 2013-10-28)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 ... -
Geometrical Frustration and Static Correlations in a Simple Glass Former
Charbonneau, Benoit; Charbonneau, Patrick; Tarjus, Gilles (American Physical Society, 2012-01-18)We study the geometrical frustration scenario of glass formation for simple hard-sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding ... -
Geometrical frustration and static correlations in hard-sphere glass formers
Charbonneau, Benoit; Charbonneau, Patrick; Tarjus, Gilles (American Institute of Physics, 2013-03-28)We analytically and numerically characterize the structure of hard-sphere fluids in order to review various geometrical frustration scenarios of the glass transition. We find generalized polytetrahedral order to be correlated ...