  Particle-particle interactions in sedimenting systems have been investigated
in the present study considering the many-body hydrodynamic and electrodynamic
interactions. These interactions primarily occur in two modes: near-field and
far-field interactions. The hydrodynamic interactions are modeled employing the
Stokesian Dynamics while the electrodynamic interactions are accounted using
the grand Capacitance matrix formulation capable of tackling externally applied
arbitrary electric field effects. It is seen that the presence of an external
electric field and asymmetry in particle positioning greatly modifies the
dynamics of the rigid dielectric spherical particles when compared with the
sedimenting system without the electric field effects. This is attributed to
the induced dipole moment interactions among the particles. A consequence of
the alterations in the particle arrangements also changes the net drag force
experienced by these sedimenting particles, which is also reported in the
present study. Furthermore, we have evaluated the induced background velocity
field of the continuous medium due to sedimentation of the particles. A net
velocity is observed in the continuous medium due to the sedimentation-induced
particle rotation, which is found to vary in presence of an external electric
field.
