2022/09/19 by Darío Cruzado Padró, Padró, Darío Cruzado, Matthew Junge +3
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #60K35 #DNA and Biological Computing #FOS: Mathematics #Molecular Junctions and Nanostructures #Probability (math.PR) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2209.09271
openalex publication_date 2022/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Coalescing ballistic annihilation is an interacting particle system intended to model features of certain chemical reactions. Particles are placed with independent and identically distributed spacings on the real line and begin moving with velocities sampled from -1,0, and 1. Collisions result in either coalescence or mutual annihilation. For a variety of symmetric coalescing rules, we prove that the index of the first particle to arrive at the origin does not depend on the law for spacings between particles.