Non-universality in clustered ballistic annihilation

被引:3
|
作者
Junge, Matthew [1 ]
Miguel, Arturo Ortiz San [2 ]
Reeves, Lily [3 ]
Sanchez, Cynthia Rivera [4 ]
机构
[1] Baruch Coll, New York, NY 10010 USA
[2] Brown Univ, Providence, RI USA
[3] Cornell Univ, Ithaca, NY USA
[4] Univ Puerto Rico Rio Pedras, San Juan, PR 00925 USA
关键词
statistical physics; interacting particle system; phase transition; ASYMPTOTIC-BEHAVIOR; KINETICS; DENSITIES;
D O I
10.1214/23-ECP529
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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 stationary particles, and provide a simple formula for the critical initial cluster density in terms of the mean and variance of the cluster size.
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页数:12
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