Abstract
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.
Funding Statement
This research project was partially completed during the 2020 Baruch Discrete Mathematics REU, supported by NSF awards DMS-1802059, DMS-2115936, and DMS-1953141.
Version Information
This article was first posted with typos in four of the author names. The typos were corrected on 27 April 2023.
Citation
Luis Benitez. Matthew Junge. Hanbaek Lyu. Maximus Redman. Lily Reeves. "Three-velocity coalescing ballistic annihilation." Electron. J. Probab. 28 1 - 18, 2023. https://doi.org/10.1214/23-EJP948
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