论文标题
到达是融合弹道歼灭的普遍性
Arrivals are universal in coalescing ballistic annihilation
论文作者
论文摘要
融合弹道歼灭是一种相互作用的粒子系统,旨在建模某些化学反应的特征。粒子放置在实际线上独立且分布相同的间距,并以$ -1,0,$和$ 1 $采样的速度开始移动。碰撞导致结合或相互歼灭。对于各种对称合并规则,我们证明第一个粒子到达原点的索引并不取决于粒子之间间距的定律。
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.