Three-velocity coalescing ballistic annihilation
Autor: | Benitez, Luis, Junge, Matthew, Lyu, Hanbaek, Redman, Maximus, Reeves, Lily |
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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 |
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