Issue 35, 2024

Phoresis kernel theory for passive and active spheres with nonuniform phoretic mobility

Abstract

By introducing geometry-based phoresis kernels, we establish a direct connection between the translational and rotational velocities of a phoretic sphere and the distributions of the driving fields or fluxes. The kernels quantify the local contribution of the field or flux to the particle dynamics. The field kernels for both passive and active particles share the same functional form, depending on the position-dependent surface phoretic mobility. For uniform phoretic mobility, the translational field kernel is proportional to the surface normal vector, while the rotational field kernel is zero; thus, a phoretic sphere with uniform phoretic mobility does not rotate. As case studies, we discuss examples of a self-phoretic axisymmetric particle influenced by a globally-driven field gradient, a general scenario for axisymmetric self-phoretic particle and two of its special cases, and a non-axisymmetric active particle.

Graphical abstract: Phoresis kernel theory for passive and active spheres with nonuniform phoretic mobility

Supplementary files

Article information

Article type
Paper
Submitted
27 Mar 2024
Accepted
08 Jul 2024
First published
27 Aug 2024
This article is Open Access
Creative Commons BY license

Soft Matter, 2024,20, 6907-6919

Phoresis kernel theory for passive and active spheres with nonuniform phoretic mobility

A. Nourhani, Soft Matter, 2024, 20, 6907 DOI: 10.1039/D4SM00360H

This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. You can use material from this article in other publications without requesting further permissions from the RSC, provided that the correct acknowledgement is given.

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