Unsteady analytical solutions to the Poisson-Nernst-Planck equations

被引：6
|
作者：
Schoenke, Johannes [1 ]
机构：
[1] Heidelberg Univ, INF 368, Interdisciplinary Ctr Sci Comp, D-69120 Heidelberg, Germany
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 45期
关键词：
D O I：
10.1088/1751-8113/45/45/455204
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that the Poisson-Nernst-Planck equations for a single ion species can be formulated as one equation in terms of the electric field. This previously not analyzed equation shows similarities to the vector Burgers equation and is identical with it in the one dimensional case. Several unsteady exact solutions for one and multidimensional cases are presented. Besides new mathematical insights which these first known unsteady solutions give, they can serve as test cases in computer simulations to analyze numerical algorithms and to verify code.
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页数：13
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