Ions and dipoles in electric field: Nonlinear polarization and field-dependent chemical reaction

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Main Author: Onuki, Akira
Format: Preprint
Published: 2024
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author Onuki, Akira
author_facet Onuki, Akira
contents We investigate electric-field effects in dilute electrolytes with nonlinear polarization. As a first example of such systems, we add a dipolar component with a relatively large dipole moment $μ_0$ to an aqueous electrolyte. As a second example, the solvent itself exhibits nonlinear polarization near charged objects. For such systems, we present a Ginzburg-Landau free energy and introduce field-dependent chemical potentials, entropy density, and stress tensor, which satisfy general thermodynamic relations. In the first example, the dipoles accumulate in high-field regions, as predicted by Abrashikin {\it et al}.$[$Phys.Rev.Lett. {\bf 99}, 077801 (2007)$]$. Finally, we consider the case, where Bjerrum ion pairs form a dipolar component with nonlinear polarization. The Bjerrum dipoles accumulate in high-field regions, while field-induced dissociation was predicted by Onsager $[$J. Chem. Phys.{\bf 2}, 599 (1934)$]$. We present an expression for the field-dependent association constant $K(E)$, which depends on the field strength nonmonotonically.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05825
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ions and dipoles in electric field: Nonlinear polarization and field-dependent chemical reaction
Onuki, Akira
Soft Condensed Matter
We investigate electric-field effects in dilute electrolytes with nonlinear polarization. As a first example of such systems, we add a dipolar component with a relatively large dipole moment $μ_0$ to an aqueous electrolyte. As a second example, the solvent itself exhibits nonlinear polarization near charged objects. For such systems, we present a Ginzburg-Landau free energy and introduce field-dependent chemical potentials, entropy density, and stress tensor, which satisfy general thermodynamic relations. In the first example, the dipoles accumulate in high-field regions, as predicted by Abrashikin {\it et al}.$[$Phys.Rev.Lett. {\bf 99}, 077801 (2007)$]$. Finally, we consider the case, where Bjerrum ion pairs form a dipolar component with nonlinear polarization. The Bjerrum dipoles accumulate in high-field regions, while field-induced dissociation was predicted by Onsager $[$J. Chem. Phys.{\bf 2}, 599 (1934)$]$. We present an expression for the field-dependent association constant $K(E)$, which depends on the field strength nonmonotonically.
title Ions and dipoles in electric field: Nonlinear polarization and field-dependent chemical reaction
topic Soft Condensed Matter
url https://arxiv.org/abs/2401.05825