Phoretic interactions in two-medium wedge geometries
Abstract
We investigate the diffusiophoretic motion of a chemically isotropic active colloid in a three-dimensional wedge formed by two distinct fluid media, in the limit of vanishing Péclet and Reynolds numbers. The concentration field is obtained using the Fourier-Kontorovich-Lebedev transform, yielding an exact representation for arbitrary wedge opening angles and interfacial contrasts. We introduce the interfacial parameter Γ=(1−λℓ)/(1+λℓ), where λ denotes the diffusivity contrast and ℓ the solute partition coefficient. For Γ=±1 and commensurate wedge angles, the solution reduces to finite image constructions, with distinct structures for even and odd commensurability. The general solution also recovers the planar-interface and semi-infinite-interface limits. The leading-order translational phoretic velocity is derived from the concentration field, revealing a strong interplay between wedge geometry and interfacial properties that governs both the magnitude and direction of particle motion. This work provides a framework for understanding and controlling phoretic transport in confined multiphase environments and offer a basis for extensions to finite-size geometries and mixed fluid--fluid and solid boundary conditions. Our results may find applications in the control of active-particle transport in confined multiphase environments, where interfacial properties and geometry can be exploited to tune phoretic motion.
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BibTeX
@misc{daddimoussaider2026phoretic,
title = {{Phoretic interactions in two-medium wedge geometries}},
author = {Abdallah Daddi-Moussa-Ider},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.24566},
eprint = {2608.24566},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.24566},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phoretic interactions in two-medium wedge geometries
AU - Abdallah Daddi-Moussa-Ider
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2608.24566
UR - https://arxiv.org/abs/2608.24566
AB - We investigate the diffusiophoretic motion of a chemically isotropic active colloid in a three-dimensional wedge formed by two distinct fluid media, in the limit of vanishing Péclet and Reynolds numbers. The concentration field is obtained using the Fourier-Kontorovich-Lebedev transform, yielding an exact representation for arbitrary wedge opening angles and interfacial contrasts. We introduce the interfacial parameter Γ=(1−λℓ)/(1+λℓ), where λ denotes the diffusivity contrast and ℓ the solute partition coefficient. For Γ=±1 and commensurate wedge angles, the solution reduces to finite image constructions, with distinct structures for even and odd commensurability. The general solution also recovers the planar-interface and semi-infinite-interface limits. The leading-order translational phoretic velocity is derived from the concentration field, revealing a strong interplay between wedge geometry and interfacial properties that governs both the magnitude and direction of particle motion. This work provides a framework for understanding and controlling phoretic transport in confined multiphase environments and offer a basis for extensions to finite-size geometries and mixed fluid--fluid and solid boundary conditions. Our results may find applications in the control of active-particle transport in confined multiphase environments, where interfacial properties and geometry can be exploited to tune phoretic motion.
ER -