  We demonstrate the phenomenon of induced-charge capacitive deionization
(ICCDI) that occurs around a porous and conducting particle immersed in an
electrolyte, under the action of an external electric field. The external
electric field induces an electric dipole in the porous particle, leading to
its capacitive charging by both cations and anions at opposite poles. This
regime is characterized by a long charging time which results in significant
changes in salt concentration in the electrically neutral bulk, on the scale of
the particle. We qualitatively demonstrate the effect of advection on the
spatio-temporal concentration field which, through diffusiophoresis, may
introduce corrections to the electrophoretic mobility of such particles.
