到达是普遍的在合并弹道湮灭
Arrivals are universal in coalescing ballistic annihilation
摘要:
聚结弹道湮灭是一种相互作用的粒子系统,旨在模拟某些化学反应的特征。粒子以独立且同分布的间距放置在实线上,并开始以从$-1,0,$和$1$采样的速度移动。碰撞的结果不是聚结就是相互湮灭。对于各种对称聚结规则,我们证明了第一个到达原点的粒子的指数不依赖于粒子之间的间距定律。
英文摘要:
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.
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