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arXiv · 1506.03275

Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate

Julien-Piera Vest·Gilles Tarjus·Pascal Viot
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Abstract

We study the dynamics of a one-component liquid constrained on a spherical substrate, a 2-sphere, and investigate how the mode-coupling theory (MCT) can describe the new features brought by the presence of curvature. To this end we have derived the MCT equations in a spherical geometry. We find that, as seen from the MCT, the slow dynamics of liquids in curved space at low temperature does not qualitatively differ from that of glass-forming liquids in Euclidean space. The MCT predicts the right trend for the evolution of the relaxation slowdown with curvature but is dramatically off at a quantitative level.

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Julien-Piera Vest, Gilles Tarjus, Pascal Viot. 2015-06-10. Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate. https://doi.org/10.1063/1.4928513

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