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Three-velocity coalescing ballistic annihilation. (English) Zbl 1515.60300

Summary: Three-velocity ballistic annihilation is an interacting system in which stationary, left-, and right-moving particles are placed at random throughout the real line and mutually annihilate upon colliding. We introduce a coalescing variant in which collisions may generate new particles. For a symmetric three-parameter family of such systems, we compute the survival probability of stationary particles at a given initial density. This allows us to describe a phase-transition for stationary particle survival.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
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