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Main Authors: Coleman, Ethan, Gupta, Ankur
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.05731
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author Coleman, Ethan
Gupta, Ankur
author_facet Coleman, Ethan
Gupta, Ankur
contents Diffusiophoresis of charged particles in the presence of electrolytes has been extensively studied in the literature. However, in these setups, particles typically move in a single direction, either up or down the electrolyte gradient. Here, we theoretically investigate the conditions under which a particle can reverse its diffusiophoretic direction within the same setup, leading to the formation of a focusing band under steady-state concentration gradients. Using multi-ion diffusiophoresis calculations, we simulate particle transport in an acid-based reaction system where salt is added alongside the acid. For a range of salt concentrations, particles focus within the channel. Our analysis reveals that a pH-dependent zeta potential is necessary for this focusing to occur, and determines where the particles focus, i.e., on or off the acid-base reaction front. We report qualitative agreement with prior experimental observations and derive analytical conditions governing particle focusing, highlighting the delicate balance between concentration gradients and zeta potential variations. The work elucidates the crucial physics of pH-dependent zeta potential and opens new avenues for exploring diffusiophoresis in acid-base systems, with implications for microfluidic design and biophysical transport processes.
format Preprint
id arxiv_https___arxiv_org_abs_2506_05731
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle pH-Dependent Zeta Potential Induces Diffusiophoretic Focusing in an Acid-Base Reaction
Coleman, Ethan
Gupta, Ankur
Soft Condensed Matter
Chemical Physics
Diffusiophoresis of charged particles in the presence of electrolytes has been extensively studied in the literature. However, in these setups, particles typically move in a single direction, either up or down the electrolyte gradient. Here, we theoretically investigate the conditions under which a particle can reverse its diffusiophoretic direction within the same setup, leading to the formation of a focusing band under steady-state concentration gradients. Using multi-ion diffusiophoresis calculations, we simulate particle transport in an acid-based reaction system where salt is added alongside the acid. For a range of salt concentrations, particles focus within the channel. Our analysis reveals that a pH-dependent zeta potential is necessary for this focusing to occur, and determines where the particles focus, i.e., on or off the acid-base reaction front. We report qualitative agreement with prior experimental observations and derive analytical conditions governing particle focusing, highlighting the delicate balance between concentration gradients and zeta potential variations. The work elucidates the crucial physics of pH-dependent zeta potential and opens new avenues for exploring diffusiophoresis in acid-base systems, with implications for microfluidic design and biophysical transport processes.
title pH-Dependent Zeta Potential Induces Diffusiophoretic Focusing in an Acid-Base Reaction
topic Soft Condensed Matter
Chemical Physics
url https://arxiv.org/abs/2506.05731