Dynamics of liquids in the large-dimensional limit
Dynamics of liquids in the large-dimensional limit
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大维极限下的液体动力学
DOI：
10.1103/physreve.104.054606
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发表时间：
2021
影响因子：
2.4
通讯作者：
Szamel, Grzegorz
中科院分区：
文献类型：
--
作者：
Liu, Chen;Biroli, Giulio;Reichman, David R.;Szamel, Grzegorz
在本文中，我们解析推导出精确的封闭动力学方程的液体与短程相互作用在大的空间尺寸使用相同的统计力学工具来分析布朗运动。我们的推导大大简化了原来的路径积分为基础的路线，这些方程，并提供了洞察与高维液体和玻璃形成的物理特征。最重要的是，我们的建设提供了一条路线，以精确的动力学分析的重要相关的动力学问题，以及一种手段来设计集群推广的精确解在无限维。后一个事实为构建日益准确的三维液体玻璃化理论打开了大门。
In this paper 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 insight into the physical features associated with high-dimensional liquids and glass formation. Most importantly, our construction provides a 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.