From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-16 DOI:10.1007/s00021-023-00838-z

Shuai Xi, Liang Zhao

引用次数: 0

Abstract

The main purpose of this paper is to provide an effective procedure to study rigorously the relationship between unipolar and bipolar Euler-Poisson systems in the perspective of mass. Based on the fact that the mass of an electron is far less than that of an ion, we amplify this property by letting \(m_e/m_i\rightarrow 0\) and using two different singular limits to illustrate it, which are the zero-electron mass limit and the infinity-ion mass limit. We use the method of asymptotic expansions to handle the problem and find that the limiting process from bipolar to unipolar systems is actually the process of decoupling, but not the vanishing of equations of the corresponding the other particle.

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质量视角下从双极欧拉-泊松系统到单极欧拉-泊松系统

本文的主要目的是提供一种有效的程序，从质量的角度严格研究单极和双极欧拉-泊松系统之间的关系。基于电子的质量远小于离子的质量这一事实，我们通过让\(m_e/m_i/rightarrow 0\) 来放大这一特性，并使用两种不同的奇异极限来说明它，即零电子质量极限和无穷大离子质量极限。我们用渐近展开的方法来处理这个问题，发现从双极系统到单极系统的极限过程实际上是解耦的过程，而不是相应的另一个粒子的方程消失的过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.