Jumps and coalescence in the continuum: A numerical study

作者：

Highlights：

• Kinetic equations can be obtained from a microscopic theory by a scaling procedure.

• Repulsive random jumps and coalescence of an infinite system of point particles in the continuum can be described at micro- and mesoscopic levels.

• In the course of such jumps, repulsion is crucial.

摘要

•Kinetic equations can be obtained from a microscopic theory by a scaling procedure.•Repulsive random jumps and coalescence of an infinite system of point particles in the continuum can be described at micro- and mesoscopic levels.•In the course of such jumps, repulsion is crucial.

论文关键词：Arratia flow,Random jump,Coalescence,Kinetic equation,Runge-Kutta method

论文评审过程：Received 17 July 2019, Revised 4 July 2020, Accepted 9 August 2020, Available online 8 September 2020, Version of Record 8 September 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125610