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Dust coagulation in protoplanetary disks is not straightforward and issubject to several slow-down mechanisms, such as bouncing, fragmentation andradial drift to the star. Furthermore, dust grains in UV-shielded disk regionsare negatively charged due to collisions with the surrounding electrons andions, which leads to their electrostatic repulsion. For typical diskconditions, the relative velocities between micron-size grains are small andtheir collisions are strongly affected by the repulsion. On the other hand,collisions between pebble-size grains can be too energetic, leading to grainfragmentation. The aim of the present paper is to study a combined effect ofthe electrostatic and fragmentation barriers on dust evolution. We numericallysolve the Smoluchowski coagulation-fragmentation equation for grains whosecharging occurs under conditions typical for the inner disk regions, wherethermal ionization operates. We find that dust fragmentation efficientlyresupplies the population of small grains under the electrostatic barrier. As aresult, the equilibrium abundance of sub-micron grains is enhanced by severalorders of magnitude compared to the case of neutral dust. For some conditionswith fragmentation velocities $\sim 1$ m s$^{-1}$, macroscopic grains arecompletely destroyed.

Coagulation-Fragmentation Equilibrium for Charged Dust: Abundance of Submicron Grains Increases Dramatically in Protoplanetary Disks