Colloidal phoresis in two-dimensional odd fluids

Abstract

Under a thermodynamic gradient, for example, the concentration or temperature gradients, the colloidal particles immersed in the solvent can exhibit a directional migration along or against the gradient---phoresis, a cross transport effect. When the solvent is an odd fluid, where the time-reversal and parity symmetries are broken microscopically, the odd transport phenomenon is allowed. This means an odd phoresis may appear: the colloidal particle migrates perpendicularly to the thermodynamic gradient. Here, we realize the odd diffusiophoresis and odd thermophoresis for a colloidal particle immersed in a two-dimensional odd fluid by performing mesoscale fluid simulations. We quantify the odd phoretic factors and further provide the phoresis-osmotic flow field driven by a phoretic colloidal particle, which is quantitatively consistent with the numerical solutions of the corresponding odd fluid dynamics equations.