Cluster formation by inelastically colliding particles in one-dimensional space

Koichiro Shida and Toshio Kawai

Physica A: Statistical Mechanics and its Applications, 1989, vol. 162, issue 1, 145-160

Abstract: Inelastically colliding particles moving in one-dimensional space are found to form clusters, each of which consists of particles with identical coordinates and velocities. There exists a critical size of a cluster, above which the cluster grows indefinitely by absorbing a colliding particle as if the collision were completely inelastic (rebound coefficient e = 0. It is experimentally found that when e = 0, the expected number of n-particle clusters is 1n, and the average number of final clusters 〈M〉 is 〈M〉 = ΣNn 11n, where N is the number of the particles in the system.

Date: 1989
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:162:y:1989:i:1:p:145-160

DOI: 10.1016/0378-4371(89)90562-1

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