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Updated: Apr 4, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate
Julien-Piera Vest1, Gilles Tarjus1, Pascal Viot1
1Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, UPMC, Sorbonne-Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.
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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