Article Dans Une Revue Physical Review E Année : 2021

On the Dynamics of Liquids in the Large-Dimensional Limit

Résumé

In this work we analytically derive the exact closed dynamical equations for a liquid with shortranged interactions in large spatial dimensions using the same statistical mechanics tools employed to analyze Brownian motion. Our derivation greatly simplifies the original path-integral-based route to these equations and provides new insight into the physical features associated with high-dimensional liquids and glass formation. Most importantly, our construction provides a facile route to the exact dynamical analysis of important related dynamical problems, as well as a means to devise cluster generalizations of the exact solution in infinite dimensions. This latter fact opens the door to the construction of increasingly accurate theories of vitrification in three-dimensional liquids.
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Dates et versions

hal-03460913 , version 1 (01-12-2021)

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Chen Liu, Giulio Biroli, David R Reichman, Grzegorz Szamel. On the Dynamics of Liquids in the Large-Dimensional Limit. Physical Review E , 2021, 104 (5), ⟨10.1103/PhysRevE.104.054606⟩. ⟨hal-03460913⟩
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