期刊
JOURNAL OF CHEMICAL PHYSICS
卷 156, 期 13, 页码 -出版社
AIP Publishing
DOI: 10.1063/5.0080805
关键词
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资金
- Simons Foundation [454937]
- National Science Foundation [ACI-1548562]
The formulation of mean-field infinite-dimensional solution of hard sphere glasses is a significant advancement in theoretical physics. However, its relevance in understanding low-dimensional glass-forming liquids is still unclear. By revisiting simulation techniques and leveraging standard liquid-state theory, the study of hard sphere liquids up to d = 13 has become possible, helping to bridge the gap between different approaches.
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 in 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 the standard liquid-state theory and, thus, help bridge the gap from the other direction. The relatively smooth evolution of both the 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. Published under an exclusive license by AIP Publishing.
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