Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/3746
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. |
URI: | http://hdl.handle.net/2289/3746 |
ISSN: | 1539-3755 1550-2376 (Online) |
Alternative Location: | http://arxiv.org/abs/0811.0908 http://dx.doi.org/10.1103/PhysRevE.79.021109 http://link.aps.org/doi/10.1103/PhysRevE.79.021109 |
Copyright: | 2009 American Physical Society |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2009 PRE v79 p021109.pdf | 14p. | 258.56 kB | Adobe PDF | View/Open |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.