Open Access
2023 Three-velocity coalescing ballistic annihilation
Luis Benitez, Matthew Junge, Hanbaek Lyu, Maximus Redman, Lily Reeves
Author Affiliations +
Electron. J. Probab. 28: 1-18 (2023). DOI: 10.1214/23-EJP948


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.


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Luis Benitez. Matthew Junge. Hanbaek Lyu. Maximus Redman. Lily Reeves. "Three-velocity coalescing ballistic annihilation." Electron. J. Probab. 28 1 - 18, 2023.


Received: 6 September 2022; Accepted: 17 April 2023; Published: 2023
First available in Project Euclid: 20 April 2023

MathSciNet: MR4578056
zbMATH: 1515.60300
Digital Object Identifier: 10.1214/23-EJP948

Primary: 60K35

Keywords: Interacting particle system , phase transition , statistical physics

Vol.28 • 2023
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