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arXiv · 2206.13875

Integral equation study of effective attraction between like-charged particles mediated by cations: Comparison between IPY2 and HNC closures

Michika Takeda·Kotetsu Maruyama·Ryo Akiyama·Tatsuhiko Miyata
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Abstract

Effective interactions between like-charged particles immersed in an electrolyte solution were calculated using two integral equation theories, hypernetted-chain (HNC)-Ornstein--Zernike (OZ) and ionic Percus--Yevick 2 (IPY2)-OZ. When the HNC-OZ theory was adopted, the electrolyte concentration dependence of the effective interaction showed a reentrant behavior. By contrast, the IPY2-OZ theory did not indicate the behavior. Monte Carlo simulations were performed for one of the model systems, and the results agreed qualitatively with those calculated using the HNC-OZ theory.

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Michika Takeda, Kotetsu Maruyama, Ryo Akiyama, Tatsuhiko Miyata. 2022-06-28. Integral equation study of effective attraction between like-charged particles mediated by cations: Comparison between IPY2 and HNC closures. https://doi.org/10.1209/0295-5075%2Fac94f5

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