具有近邻相互作用的一维晶格流体混合物

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
Ali Yacine Sahnoun, Mustapha Djebbar, Tounsi Benmessabih and Benaoumeur Bakhti
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引用次数: 0

摘要

我们提出了一维晶格上任意尺寸硬棒流体混合物自由能函数的精确推导。我们的方法基于韦特海姆簇理论,该理论包括将具有有限范围相互作用的系统映射到具有纯粹硬核相互作用但活动有所改变的系统。我们证明,自由能函数与基本度量函数具有相同的形式。自由能的相互作用部分有两个贡献,一个来自限于硬棒或硬球直径的单粒子空腔,另一个来自包括有限范围相互作用的双粒子空腔。在单组分系统的极限中,我们的结果与使用马尔可夫链方法得出的结果相一致。在相互作用消失的情况下,密度函数与之前推导出的具有纯硬核相互作用的硬棒混合物的密度函数完全吻合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
One dimensional lattice fluid mixture with nearest neighbour interactions
We present an exact derivation of the free energy functional of a fluid mixture of hard rods with arbitrary sizes on a one-dimensional lattice. Our approach is based on the Wertheim cluster theory which consists of mapping a system with finite range interactions to the system with pure hard-core interaction but with modified activities. We show that the free energy functional has the same form as the fundamental measure functional. The interactions part of the free energy has two contributions, one from the one-particle cavity restricted to the hard rod or hard-sphere diameter and a second from the two-particle cavity which includes the finite range of the interaction. In the limit of a one-component system, our results reduce to the one derived using the Markov chain approach. For vanishing interactions, the density functionals coincide exactly with the previously derived for the mixture of hard rods with pure hard-core interaction.
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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