arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.2257cond-mat.stat-mech
收藏

无限稀释溶液的通用桥泛函:不同直径Lennard-Jones球的实例研究

Universal bridge functional for infinitely diluted solutions: a case study for Lennard-Jones spheres of different diameter

Volodymyr P. Sergiievskyi, Andrey I. Frolov

摘要:

本文提出了一个通用的桥泛函,用于封闭Lennard-Jones流体中不同大小的Lennard-Jones球的无限稀释解的Ornstein-Zernike(OZ)方程。利用分子动力学(MD)模拟的数据对桥泛函进行了参数化。我们表明,对于所有的研究系统的桥功能可以有效地papmeterized与指数函数,它只依赖于溶质和溶剂原子的大小比。为了检查参数化,我们用包含参数化泛函的闭包和不含桥泛函的闭包(超网链闭包)求解OZ方程。我们表明,引入桥功能允许获得径向分布函数(RDFs),这是接近MD的结果,并从根本上提高预测的RDF的第一个峰值的位置和高度。

英文摘要:

In the paper we propose an universal bridge functional for the closure of the Ornstein-Zernike (OZ) equation for the case of infinitely diluted solutions of Lennard-Jones shperes of different size in the Lennard-Jones fluid. Bridge functional is paprameterized using the data of the Molecular Dynamics (MD) simulations. We show that for all investigated systems the bridge functional can be efficiently papameterized with the exponential function which depends only on the ratio of sizes of the solute and solvent atoms. To check the parameterization we solve the OZ equation with the closure which includes the parametrized functional and with the closure without the bridge functional (Hyper-netted chain closure). We show that introducing the bridge functional allows to obtain radial distribution functions (RDFs), which are close to the MD results and essentially improve predictions of the location and height of the first peak of the RDF.

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。

↑