Dimension dependence of clustering dynamics in models of ballistic aggregation and freely cooling granular gas

Physical Review. E
Subhajit Paul, Subir K Das

Abstract

Via event-driven molecular dynamics simulations we study kinetics of clustering in assemblies of inelastic particles in various space dimensions. We consider two models, viz., the ballistic aggregation model (BAM) and the freely cooling granular gas model (GGM), for each of which we quantify the time dependence of kinetic energy and average mass of clusters (that form due to inelastic collisions). These quantities, for both the models, exhibit power-law behavior, at least in the long time limit. For the BAM, corresponding exponents exhibit strong dimension dependence and follow a hyperscaling relation. In addition, in the high packing fraction limit the behavior of these quantities become consistent with a scaling theory that predicts an inverse relation between energy and mass. On the other hand, in the case of the GGM we do not find any evidence for such a picture. In this case, even though the energy decay, irrespective of packing fraction, matches quantitatively with that for the high packing fraction picture of the BAM, it is inversely proportional to the growth of mass only in one dimension, and the growth appears to be rather insensitive to the choice of the dimension, unlike the BAM.

References

Apr 1, 1972·Annals of Human Genetics·G R Price
Jan 1, 1988·Physical Review. B, Condensed Matter·J G AmarR D Mountain
Aug 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E Ben-NaimS Redner
Jun 11, 1990·Physical Review Letters·G F CarnevaleW R Young
Mar 15, 1993·Physical Review Letters·I Goldhirsch, G Zanetti
Mar 22, 1993·Physical Review Letters·E Ben-NaimF Leyvraz
Aug 7, 1995·Physical Review Letters·T VicsekO Shochet
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Subir K Das, Sanjay Puri
Nov 22, 2002·Physical Review Letters·Xiaobo NieShiyi Chen
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jarosław PiaseckiMichel Droz
Jun 5, 2003·Chaos·S. Luding, H. J. Herrmann
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Subir K Das, Sanjay Puri
Dec 20, 2003·Physical Review Letters·E Trizac, P L Krapivsky
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Miller, S Luding
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mahendra ShindeR Rajesh
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Suman Majumder, Subir K Das
Feb 4, 2014·Physical Review Letters·Sudhir N PathakR Rajesh
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ramakrishna Rongali, Meheboob Alam
Jun 17, 2015·Nature Communications·Ryotaro Shimizu, Hajime Tanaka
Jul 18, 2015·Proceedings of the National Academy of Sciences of the United States of America·Nikolai BrilliantovJürgen Schmidt
Aug 31, 2016·Physical Review. E·Satoshi TakadaHisao Hayakawa
May 6, 2017·Physical Review Letters·Jiarul Midya, Subir K Das

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Citations

Nov 21, 2020·Physical Review. E·N V BrilliantovP L Krapivsky

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