We study the two-dimensional motion of a self-propelling asymmetric bent rod. By employing
slender body theory and the Lorentz reciprocal theorem, we determine particle trajectories …

Diffusiophoresis involves the movement of colloidal-scale entities in response to
concentration gradients of a solute. It is broadly categorized into two types: passive and …

Swimming at the microscale typically involves two modes of motion: mechanical propulsion
and propulsion due to field interactions. During mechanical propulsion, particles swim by …

Chemically active colloids self-propel by catalysing the decomposition of molecular
'fuel'available in the surrounding solution. If the various molecular species involved in the …

Breaking spatial symmetry is an essential requirement for phoretic active particles to swim at
low Reynolds number. This fundamental prerequisite for swimming at the micro scale is …

Phoretic colloids self-propel thanks to surface flows generated in response to surface
gradients (thermal, electrical, or chemical), that are self-induced and/or generated by other …

Slender fibres are ubiquitous in biology, physics and engineering, with prominent examples
including bacterial flagella and cytoskeletal fibres. In this setting, slender body theories …

Autophoretic microswimmers self-propel via surface interactions with a surrounding solute
fuel. Chemically-active filaments are an exciting new microswimmer design that augments …

We consider the mapping properties of the integral operator arising in nonlocal slender body
theory (SBT) for the model geometry of a straight, periodic filament. It is well known that the …

We present an asymptotic theory for solving the dynamics of slender autophoretic loops and
knots. Our formulation is valid for nonintersecting three-dimensional center lines, with …