论文标题
关键激活随机步行中的雪崩
Avalanches in Critical Activated Random Walks
论文作者
论文摘要
我们考虑在$ \ z $上激活随机步行，具有完全不对称的跳跃和临界粒子密度，其时间尺度不同，用于颗粒的逐步释放和耗散动力学。我们表明，粒子通过原点的累积流动到我们明确描述的纯种自相似过程。
We consider Activated Random Walks on $\Z$ with totally asymmetric jumps and critical particle density, with different time scales for the progressive release of particles and the dissipation dynamics. We show that the cumulative flow of particles through the origin rescales to a pure-jump self-similar process which we describe explicitly.
