Statistical‐Mechanical Theory on the Probability Distribution Function for the Net Charge of an Electrolyte Droplet

IF 2.7 4区 材料科学 Q3 CHEMISTRY, PHYSICAL
Yuki Uematsu, Keiju Suda
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引用次数: 0

Abstract

Droplets of electrolyte solutions in an insulating medium are ubiquitous in nature. The net charges of these droplets are normally nonzero, and they fluctuate. However, a theory on the probability distribution function for the net charge of droplets is lacking, so far. Thus, a statistical‐mechanical theory of a charged droplet is developed including the effect of the electrostatic energy of charging as well as the random distribution of ions. Then, the probability distribution function for the net charge of an electrolyte droplet is calculated assuming that it is generated from a macroscopic solution with the different cation and anion concentrations. Using the Gaussian approximation and Stirling's formula, the analytic results for the average and variance of the net charge of a droplet are obtained.
电解质液滴净电荷概率分布函数的统计力学理论
绝缘介质中的电解质溶液液滴在自然界中无处不在。这些液滴的净电荷通常不为零,而且会波动。然而,迄今为止,还没有关于液滴净电荷概率分布函数的理论。因此,我们提出了带电液滴的统计力学理论,其中包括充电静电能量的影响以及离子的随机分布。然后,假定电解质液滴是从具有不同阳离子和阴离子浓度的宏观溶液中产生的,计算电解质液滴净电荷的概率分布函数。利用高斯近似和斯特林公式,得到了液滴净电荷的平均值和方差的解析结果。
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来源期刊
Particle & Particle Systems Characterization
Particle & Particle Systems Characterization 工程技术-材料科学:表征与测试
CiteScore
5.50
自引率
0.00%
发文量
114
审稿时长
3.0 months
期刊介绍: Particle & Particle Systems Characterization is an international, peer-reviewed, interdisciplinary journal focusing on all aspects of particle research. The journal joined the Advanced Materials family of journals in 2013. Particle has an impact factor of 4.194 (2018 Journal Impact Factor, Journal Citation Reports (Clarivate Analytics, 2019)). Topics covered include the synthesis, characterization, and application of particles in a variety of systems and devices. Particle covers nanotubes, fullerenes, micelles and alloy clusters, organic and inorganic materials, polymers, quantum dots, 2D materials, proteins, and other molecular biological systems. Particle Systems include those in biomedicine, catalysis, energy-storage materials, environmental science, micro/nano-electromechanical systems, micro/nano-fluidics, molecular electronics, photonics, sensing, and others. Characterization methods include microscopy, spectroscopy, electrochemical, diffraction, magnetic, and scattering techniques.
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