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Article overview
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On collisions times of self-sorting interacting particles in one-dimension with random initial positions and velocities | | Joceline Lega
; Sunder Sethuraman
; Alexander L Young
; | | Date: |
5 Apr 2017 | | Abstract: | 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. | | Source: | arXiv, 1704.1251 | | Services: | Forum | Review | PDF | Favorites | |
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