Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate.
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.
Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, UPMC, Sorbonne-Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.
Julien-Piera
JP
Vest
Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, UPMC, Sorbonne-Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.
Gilles
G
Tarjus
Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, UPMC, Sorbonne-Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.
Pascal
P
Viot