Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate
Soft Condensed Matter
2015-09-30 v1
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.
Keywords
Cite
@article{arxiv.1506.03275,
title = {Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate},
author = {Julien-Piera Vest and Gilles Tarjus and Pascal Viot},
journal= {arXiv preprint arXiv:1506.03275},
year = {2015}
}
Comments
10 pages, 7 figures