Three-speed ballistic annihilation : phase transition and universality

We consider ballistic annihilation, a model for chemical reactions first introduced in the 1980’s physics literature. In this particle system, initial locations are given by a renewal process on the line, motions are ballistic—i.e. each particle is assigned a constant velocity, chosen independently and with identical distribution—and collisions between pairs of particles result in mutual annihilation. We focus on the case when the velocities are symmetrically distributed among three values, i.e. particles either remain static (with given probability p) or move at constant velocity uniformly chosen amon