Long time dynamics of nonequilibrium electroconvection

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-13 DOI:10.1090/tran/9171

Fizay-Noah Lee

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Abstract

The Nernst-Planck-Stokes (NPS) system models electroconvection of ions in a fluid. We consider the system, for two oppositely charged ionic species, on three dimensional bounded domains with Dirichlet boundary conditions for the ionic concentrations (modelling ion selectivity), Dirichlet boundary conditions for the electrical potential (modelling an applied potential), and no-slip boundary conditions for the fluid velocity. In this paper, we obtain quantitative bounds on solutions of the NPS system in the long time limit, which we use to prove (1) the existence of a compact global attractor with finite fractal (box-counting) dimension and (2) space-time averaged electroneutrality ρ ≈ 0 \rho \approx 0 in the singular limit of Debye length going to zero, ϵ → 0 \epsilon \to 0 .

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非平衡电对流的长时间动力学

内斯特-普朗克-斯托克斯（NPS）系统是流体中离子电对流的模型。我们考虑的是两个带相反电荷的离子物种在三维有界域上的系统，离子浓度的边界条件为狄里希勒（Dirichlet）（模拟离子选择性），电势的边界条件为狄里希勒（Dirichlet）（模拟外加电势），流体速度的边界条件为无滑动（no-slip）。在本文中，我们获得了 NPS 系统解在长时限内的定量边界，并利用这些边界证明了：（1）存在具有有限分形（盒数）维度的紧凑全局吸引子；（2）在德拜长度为零的奇异极限内，ϵ → 0 \epsilon \to 0 的时空平均电中性 ρ ≈ 0 \rho \approx 0。

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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.

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