TY - JOUR

T1 - On collisions times of 'self-sorting' interacting particles in one-dimension with random initial positions and velocities

AU - Lega, Joceline

AU - Sethuraman, Sunder

AU - Young, Alexander L.

N1 - Publisher Copyright:
Copyright © 2017, The Authors. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2017/4/4

Y1 - 2017/4/4

N2 - We investigate a one-dimensional system of N particles, initially distributed with random positions and velocities, interacting through binary collisions. The collision rule is such that there is a time after which the N particles do not interact and become sorted according to their velocities. When the collisions are elastic, we derive asymptotic distributions for the final collision time of a single particle and the final collision time of the system as the number of particles approaches infinity, under different assumptions for the initial distributions of the particles' positions and velocities. For comparison, a numerical investigation is carried out to determine how a non-elastic collision rule, which conserves neither momentum nor energy, affects the median collision time of a particle and the median final collision time of the system.MSC Codes 82C22, 62G30 (Primary) 82C23, 62-04, 62E20 (Secondary)

AB - We investigate a one-dimensional system of N particles, initially distributed with random positions and velocities, interacting through binary collisions. The collision rule is such that there is a time after which the N particles do not interact and become sorted according to their velocities. When the collisions are elastic, we derive asymptotic distributions for the final collision time of a single particle and the final collision time of the system as the number of particles approaches infinity, under different assumptions for the initial distributions of the particles' positions and velocities. For comparison, a numerical investigation is carried out to determine how a non-elastic collision rule, which conserves neither momentum nor energy, affects the median collision time of a particle and the median final collision time of the system.MSC Codes 82C22, 62G30 (Primary) 82C23, 62-04, 62E20 (Secondary)

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M3 - Article

AN - SCOPUS:85094020564

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

ER -