Microscopic active droplets are able to swim autonomously in viscous flows. This puzzling
feature stems from solute exchanges with the surrounding fluid via surface reactions or their …

Self-propulsion of chemically active droplets and phoretic disks has been studied widely;
however, most research overlooks the influence of disk shape on swimming dynamics …

The motion of an autophoretic spherical particle in a simple fluid is analyzed. This motion is
powered by a chemical species which is absorbed or emitted by the particle and which …

Active matter drives its constituent agents to move autonomously by harnessing free energy,
leading to diverse emergent states with relevance to both biological processes and …

In this paper we propose an improved three-dimensional immersed boundary method
coupled with a finite-difference code to simulate self-propelled phoretic particles in viscous …

We develop a numerical a framework to study phoretic particle dynamics in two dimensions.
The particles are modeled as chemically active rigid circles, which can emit or absorb a …

Active matter drives its constituent agents to move autonomously by harnessing free energy,
leading to diverse emergent states with relevance to both biological processes and …

The study of partial differential equations is at the crossroads of scientific computing,
mathematical analysis, topology, measure theory, differential geometry and many other …