Series solution of a nonlocal dielectric test model for a solute ball with point charges in an ionic solvent

被引：1

作者：

Volkmer, Hans W. ^{[1
]}

Xie, Dexuan ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

COMMUNICATIONS IN INFORMATION AND SYSTEMS | 2018年 / 18卷 / 04期

关键词：

D O I：

10.4310/CIS.2018.v18.n4.a3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper reports an analytical solution of a nonlocal dielectric test model for a solute ball with multiple point charges in an ionic solvent. The solution is derived in a single sum series of Legendre polynomials and modified spherical Bessel functions so that it can be calculated efficiently for a large set of charges or a large set of mesh points. It also contains the series solution of a two-region Kirkwood ball model as a special case. This series solution can be valuable in the study of nonlocal dielectric continuum models and in the validation tests on the numerical algorithms and software packages for solving nonlocal Poisson-Boltzmann equation models.

引用

页码：251 / 268

页数：18

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