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arXiv 1702.00451cond-mat.soft
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多组分原子液体动力学的自洽广义朗之万方程理论

Self-consistent generalized Langevin equation theory of the dynamics of multicomponent atomic liquids

Edilio Lázaro-Lázaro, Patricia Mendoza-Méndez, Luis Fernando Elizondo-Aguilera, Jorge Adrián Perera-Burgos, Pedro Ezequiel Ramírez González, Gabriel Pérez-Ángel… 展开作者

Edilio Lázaro-Lázaro, Patricia Mendoza-Méndez, Luis Fernando Elizondo-Aguilera, Jorge Adrián Perera-Burgos, Pedro Ezequiel Ramírez González, Gabriel Pérez-Ángel, Ramón Castañeda-Priego, Magdaleno Medina-Noyola

摘要:

液体理论的一个基本挑战是理解胶体和原子液体的宏观动力学的相似性和差异,这源于其组分的微观运动的(牛顿或布朗)性质。从最近发现的胶体和原子液体具有相同的粒子间对势的长时间动力学等价性出发,本文发展了一个自洽的广义Langevin方程(SCGLE)理论,用于描述平衡态多组分原子液体的动力学,可作为描述简单平衡态原子液体的长时间扩散动力学性质的近似但定量的理论。当补充高斯近似,这个理论也能够提供一个合理的代表性的通道从弹道扩散行为。我们说明了所得到的理论与三个特定的例子,即,单分散和多分散单组分硬球液体,和高度尺寸不对称的二元硬球混合物的适用性。为了评估我们的结果的定量准确性,我们进行事件驱动的分子动力学模拟,证实了理论预测的一般特征。

英文摘要:

A fundamental challenge of the theory of liquids is to understand the similarities and differences in the macroscopic dynamics of both colloidal and atomic liquids, which originate in the (Newtonian or Brownian) nature of the microscopic motion of their constituents. Starting from the recently-discovered long-time dynamic equivalence between a colloidal and an atomic liquid that share the same interparticle pair potential, in this work we develop a self-consistent generalized Langevin equation (SCGLE) theory for the dynamics of equilibrium multicomponent atomic liquids, applicable as an approximate but quantitative theory describing the long-time diffusive dynamical properties of simple equilibrium atomic liquids. When complemented with a Gaussian-like approximation, this theory is also able to provide a reasonable representation of the passage from ballistic to diffusive behavior. We illustrate the applicability of the resulting theory with three particular examples, namely, a monodisperse and a polydisperse monocomponent hard-sphere liquid, and a highly size-asymmetric binary hard-sphere mixture. To assess the quantitative accuracy of our results, we perform event-driven molecular dynamics simulations, which corroborate the general features of the theoretical predictions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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