On the Dynamics of Liquids in the Large-Dimensional Limit
Abstract
In this work, we analytically derive the exact closed dynamical equations for a liquid with short-ranged 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.
Keywords
Cite
@article{arxiv.2108.02378,
title = {On the Dynamics of Liquids in the Large-Dimensional Limit},
author = {Chen Liu and Giulio Biroli and David Reichman and Grzegorz Szamel},
journal= {arXiv preprint arXiv:2108.02378},
year = {2021}
}