论文标题
群集弹道式歼灭中的非宇宙性
Non-universality in clustered ballistic annihilation
论文作者
论文摘要
在弹道歼灭中，无限的许多具有随机分配速度的颗粒在真实线上移动并在接触时相互消灭。我们引入了一个带有多个固定颗粒的叠加簇的变体。我们的主要结果是，确保物种存活的临界初始簇密度取决于簇大小的平均值和方差。我们的结果与最近的弹道歼灭普遍性相对于粒子间距的结果形成鲜明对比。我们定理的推论解决了一个融合弹道歼灭的公开问题。
In ballistic annihilation, infinitely many particles with randomly assigned velocities move across the real line and mutually annihilate upon contact. We introduce a variant with superimposed clusters of multiple stationary particles. Our main result is that the critical initial cluster density to ensure species survival depends on both the mean and variance of the cluster size. Our result contrasts with recent ballistic annihilation universality findings with respect to particle spacings. A corollary of our theorem resolves an open question for coalescing ballistic annihilation.
