Three-velocity coalescing ballistic annihilation

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 symmetri...

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Bibliographic Details
Published in:arXiv.org 2023-05
Main Authors: Benitez, Luis, Junge, Matthew, Lyu, Hanbaek, Redman, Maximus, Reeves, Lily
Format: Article
Language:English
Subjects:
Coalescing
Phase transitions
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2010.15855