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Title: Statistical properties of the final state in one-dimensional ballistic aggregation
Authors: Majumdar, Satya N.
Mallick, Kirone
Sabhapandit, Sanjib
Keywords: aggregation
random processes
statistical distributions
Issue Date: 9-Feb-2009
Publisher: American Physical Society
Citation: Physical Review E, 2009, Vol. 79, p021109
Abstract: We investigate the long time behavior of the one-dimensional ballistic aggregation model that represents a sticky gas of N particles with random initial positions and velocities, moving deterministically, and forming aggregates when they collide. We obtain a closed formula for the stationary measure of the system which allows us to analyze some remarkable features of the final “fan” state. In particular, we identify universal properties which are independent of the initial position and velocity distributions of the particles. We study cluster distributions and derive exact results for extreme value statistics (because of correlations these distributions do not belong to the Gumbel-Fréchet-Weibull universality classes). We also derive the energy distribution in the final state. This model generates dynamically many different scales and can be viewed as one of the simplest exactly solvable model of N-body dissipative dynamics.
Description: Open Access.
ISSN: 1539-3755
1550-2376 (Online)
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Copyright: 2009 American Physical Society
Appears in Collections:Research Papers (TP)

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