Three-velocity coalescing ballistic annihilation
Probability
2023-05-22 v3
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.
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Cite
@article{arxiv.2010.15855,
title = {Three-velocity coalescing ballistic annihilation},
author = {Luis Benitez and Matthew Junge and Hanbaek Lyu and Maximus Redman and Lily Reeves},
journal= {arXiv preprint arXiv:2010.15855},
year = {2023}
}
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