Three-velocity coalescing ballistic annihilation

Autor: Benitez, Luis, Junge, Matthew, Lyu, Hanbaek, Redman, Maximus, Reeves, Lily
Rok vydání: 2020
Předmět:
Zdroj: Electron. J. Probab. 28: 1--18, 2023
Druh dokumentu: Working Paper
DOI: 10.1214/23-EJP948
Popis: 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.
Comment: Published version
Databáze: arXiv