论文标题
三速融合弹道歼灭
Three-velocity coalescing ballistic annihilation
论文作者
论文摘要
三速度弹道歼灭是一个相互作用的系统,在该系统中,固定,左和右移动的颗粒在整个真实线上被随机放置,并在碰撞时相互消灭。我们引入了一种合并的变体,其中碰撞可能会产生新的粒子。对于此类系统的对称三参数家族,我们在给定的初始密度下计算固定颗粒的生存概率。这使我们能够描述用于固定颗粒存活的相位转换。
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.