2015/06/10 by Julien-Piera Vest, Gilles Tarjus, Pascal Viot · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Component (thermodynamics) #Computer science #Coupling (piping) #Curvature #Curved space #Dynamics (music) #Euclidean space #Geometry #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Mode (computer interface) #Mode coupling #Optics #Physics #Pickering emulsions and particle stabilization #Relaxation (psychology) #Slowdown #Space (punctuation) #Substrate (aquarium) #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft
paper · pdf · doi:10.1063/1.4928513
10 pages, 7 figures
arxiv created 2015/06/10 · openalex publication_date 2015/08/25 · arxiv updated 2015/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.