Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate
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.
- Publication:
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Journal of Chemical Physics
- Pub Date:
- August 2015
- DOI:
- 10.1063/1.4928513
- arXiv:
- arXiv:1506.03275
- Bibcode:
- 2015JChPh.143h4505V
- Keywords:
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- Condensed Matter - Soft Condensed Matter
- E-Print:
- 10 pages, 7 figures