Asymptotic decay of liquid structure: oscillatory liquid-vapour density profiles and the Fisher-Widom line

Asymptotic decay of liquid structure: oscillatory liquid-vapour density profiles and the Fisher-Widom line
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液体结构的渐近衰变:振荡液-汽密度分布和 Fisher-Widom 线

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发表时间:
1993
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通讯作者:
Z. Sabeur
Z. Sabeur
中科院分区:
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文献类型:
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作者:
R. Evans;J. Henderson;D. Hoyle;A. O. Parry;Z. Sabeur

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最近的工作强调了非均匀流体密度分布ρ(r)和体径向分布函数g(r)的渐近衰减的统一理论的存在。对于给定的短程原子间相互作用势,ρ(r)以与g(r)相同的方式衰减到体中,即具有相同的指数衰减长度(α0/-1),并且对于足够高的体密度(ρB)和/或温度(T),振荡波长(2π/α1)。量α0和α1由体相流体的线性稳定性分析确定;它们仅取决于体相直接相关函数。本文重新引入Fisher-Widom(FW)线的概念。这条线最初是在(ρB,T)平面上引入的,它把g(r)的纯指数衰减和指数衰减振荡衰减分开。我们探讨的FW线的形式的密度分布在液体-蒸汽界面的相关性。利用加权密度近似(WDA)密度泛函理论,我们定位FW线的…
Recent work has highlighted the existence of a unified theory for the asymptotic decay of the density profile ρ(r) of an inhomogeneous fluid and of the bulk radial distribution function g(r). For a given short-ranged interatomic potential ρ(r) decays into bulk in the same fashion as g(r), i.e. with the same exponential decay length (α0/-1) and, for sufficiently high bulk density (ρb) and/or temperature (T), oscillatory wavelength (2π/α1). The quantities α0 and α1 are determined by a linear stability analysis of the bulk fluid; they depend on only the bulk direct correlation function. In this paper we reintroduce the concept of the Fisher-Widom (FW) line. This line was originally introduced, in say the (ρb, T plane, as that which separates pure exponential from exponentially damped oscillatory decay of g(r). We explore the relevance of the FW line for the form of the density profile at a liquid-vapour interface. Using a weighted density approximation (WDA) density functional theory we locate the FW line fo...