  Aims: We investigate the behaviour of dust in protoplanetary disks under the
action of gas drag in the presence of a planet. Our goal is twofold: to
determine the spatial distribution of dust depending on grain size and planet
mass, and therefore to provide a framework for interpretation of coming
observations and future studies of planetesimal growth. Method: We numerically
model the evolution of dust in a protoplanetary disk using a two-fluid (gas +
dust) Smoothed Particle Hydrodynamics (SPH) code, which is non-self-gravitating
and locally isothermal. The code follows the three dimensional distribution of
dust in a protoplanetary disk as it interacts with the gas via aerodynamic
drag. In this work, we present the evolution of a minimum mass solar nebula
(MMSN) disk comprising 1% dust by mass in the presence of an embedded planet.
We run a series of simulations which vary the grain size and planetary mass to
see how they affect the resulting disk structure. Results: We find that gap
formation is much more rapid and striking in the dust layer than in the gaseous
disk and that a system with a given stellar, disk and planetary mass will have
a completely different appearance depending on the grain size. For low mass
planets in our MMSN disk, a gap can open in the dust disk while not in the gas
disk. We also note that dust accumulates at the external edge of the planetary
gap and speculate that the presence of a planet in the disk may enhance the
formation of a second planet by facilitating the growth of planetesimals in
this high density region.
