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arXiv 2311.00570cond-mat.softcond-mat.mtrl-sci
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起伏介电膜附近的电场

Electric Fields Near Undulating Dielectric Membranes

Nicholas Pogharian, Alexandre P. dos Santos, Ali Ehlen, Monica Olvera de la Cruz

AI总结:

本文提出用格林函数周期求和的解析方法计算起伏介电膜附近静电势,揭示表面起伏通过波谷离子排斥增强界面电荷分布不对称性,并表明粗糙表面可在带电分子或混合价离子电解质中诱导电荷图案。

摘要:

介电界面对带电膜的行为至关重要,从石墨烯到合成及生物脂质双层膜皆是如此。理解这些界面附近的电解质行为仍然是一个挑战,尤其是在粗糙介电表面的情况下。由于缺乏解析解,该问题只能依靠数值处理。我们报告了一种解析方法,用于在二维周期性“平板”几何中,通过格林函数的周期求和来确定弯曲介电膜附近的静电势。该方法适用于模拟具有二维变形的表面附近任意电荷群。我们集中研究一维起伏。我们表明,增加膜的起伏会增加界面电荷分布的不对称性,这是因为离子优先从波谷处受到排斥。在厚膜极限下,我们恢复了类似于单一界面附近电解质的结果。我们的工作表明,粗糙表面会在带电分子或混合价离子的电解质中产生电荷图案。

英文摘要:

Dielectric interfaces are crucial to the behavior of charged membranes, from graphene to synthetic and biological lipid bilayers. Understanding electrolyte behavior near these interfaces remains a challenge, especially in the case of rough dielectric surfaces. A lack of analytical solutions consigns this problem to numerical treatments. We report an analytic method for determining electrostatic potentials near curved dielectric membranes in a two-dimensional periodic 'slab' geometry using a periodic summation of Green's functions. This method is amenable to simulating arbitrary groups of charges near surfaces with two-dimensional deformations. We concentrate on one-dimensional undulations. We show that increasing membrane undulation increases the asymmetry of interfacial charge distributions due to preferential ionic repulsion from troughs. In the limit of thick membranes we recover results mimicking those for electrolytes near a single interface. Our work demonstrates that rough surfaces generate charge patterns in electrolytes of charged molecules or mixed-valence ions.

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。

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