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

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2023年 / 28卷

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.

引用

页数：12

共 23 条

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