Dynamics and fluctuations of minimally-structured glass formers
arXiv:2312.07643 · doi:10.1103/PhysRevE.109.054905
Abstract
The mean-field theory (MFT) of simple glasses, which is exact in the limit of infinite spatial dimensions, , offers theoretical insight as well as quantitative predictions about certain features of systems. In order to more systematically relate the behavior of physical systems to MFT, however, various finite- corrections need to be accounted for. Although some efforts along this direction have already been undertaken, theoretical and technical challenges hinder progress. A general approach to sidestep many of these difficulties consists of simulating minimally-structured models whose behavior smoothly converges to that described by the MFT as increases, so as to permit a dimensional extrapolation. Using this approach, we here extract the small fluctuations around the dynamical MFT captured by a standard liquid-state observable the non-Gaussian parameter . The results provide insight into the physical origin of these fluctuations as well as a quantitative reference with which to compare observations in more realistic glass formers.
10 pages, 7 figures
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