Core-halo formation in one-dimensional self-gravitating systems

For many decades the one-dimensional self-gravitating sheet system has been studied as the simplest dynamical model for astrophysical systems of masses. The formation of core-halo structures has been of particular interest for astrophysical systems and their evolution. In one-dimensional systems, under the right conditions, similar structures can form in position-velocity space. In this work we study these formations using a dynamical simulation of a one-dimensional system of sheet masses. Specific particles identified in the initial distribution are tracked to the final core-halo distribution, and the evolution of the distribution of these particles in the system is identified and discussed.