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.
This research project was partially completed during the 2020 Baruch Discrete Mathematics REU, supported by NSF awards DMS-1802059, DMS-2115936, and DMS-1953141.
This article was first posted with typos in four of the author names. The typos were corrected on 27 April 2023.
"Three-velocity coalescing ballistic annihilation." Electron. J. Probab. 28 1 - 18, 2023. https://doi.org/10.1214/23-EJP948