Numerical Simulation of Dust Aggregate Collisions. II. Compression and Disruption of Three-Dimensional Aggregates in Head-on Collisions

Astronomy and Astrophysics – Astronomy

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Stars: Circumstellar Matter, Ism: Dust, Extinction, Methods: N-Body Simulations, Stars: Planetary Systems: Formation, Stars: Planetary Systems: Protoplanetary Disks

Scientific paper

We study collisions between dust aggregates to construct a model of their structural evolution in protoplanetary disks. We carry out three-dimensional simulations of aggregate collisions and examine their compression and disruption processes following our previous two-dimensional simulations. We take clusters of ballistic cluster-cluster aggregation (BCCA) formed by a hit-and-stick process as initial structures and study their head-on collisions with the use of realistic binding forces. Our numerical results indicate that the energy criteria for compression and disruption of BCCA clusters are consistent with previous two-dimensional simulations. For aggregate compression at a collision, we succeed in obtaining a scaling law in which the gyration radius of the resultant aggregate is proportional to E-0.10imp, where Eimp is the impact energy. Furthermore, we derive an ``equation of state'' of aggregates which reproduces the scaling law for compression. The equation of state is useful for describing the density evolution of dust aggregates during their growth.

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