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| Publications [#361440] of Patrick Charbonneau
Papers Published
- Charbonneau, P; Hu, Y; Kundu, J; Morse, PK, The dimensional evolution of structure and dynamics in hard sphere
liquids,
J. Chem. Phys., vol. 156
(November, 2021),
pp. 134502
(last updated on 2024/04/24)
Abstract:
The formulation of the mean-field, infinite-dimensional solution of hard
sphere glasses is a significant milestone for theoretical physics. How relevant
this description might be for understanding low-dimensional glass-forming
liquids, however, remains unclear. These liquids indeed exhibit a complex
interplay between structure and dynamics, and the importance of this interplay
might only slowly diminish as dimension $d$ increases. A careful numerical
assessment of the matter has long been hindered by the exponential increase of
computational costs with $d$. By revisiting a once common simulation technique
involving the use of periodic boundary conditions modeled on $D_d$ lattices, we
here partly sidestep this difficulty, thus allowing the study of hard sphere
liquids up to $d=13$. Parallel efforts by Mangeat and Zamponi [Phys. Rev. E 93,
012609 (2016)] have expanded the mean-field description of glasses to finite
$d$ by leveraging standard liquid-state theory, and thus help bridge the gap
from the other direction. The relatively smooth evolution of both structure and
dynamics across the $d$ gap allows us to relate the two approaches, and to
identify some of the missing features that a finite-$d$ theory of glasses might
hope to include to achieve near quantitative agreement.
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