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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3746
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dc.contributor.authorMajumdar, Satya N.-
dc.contributor.authorMallick, Kirone-
dc.contributor.authorSabhapandit, Sanjib-
dc.date.accessioned2009-04-09T07:18:37Z-
dc.date.available2009-04-09T07:18:37Z-
dc.date.issued2009-02-09-
dc.identifier.citationPhysical Review E, 2009, Vol. 79, p021109en
dc.identifier.issn1539-3755-
dc.identifier.issn1550-2376 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/3746-
dc.descriptionOpen Access.en
dc.description.abstractWe 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.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://arxiv.org/abs/0811.0908en
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevE.79.021109en
dc.relation.urihttp://link.aps.org/doi/10.1103/PhysRevE.79.021109en
dc.rights2009 American Physical Societyen
dc.subjectaggregationen
dc.subjectrandom processesen
dc.subjectstatistical distributionsen
dc.titleStatistical properties of the final state in one-dimensional ballistic aggregationen
dc.typeArticleen
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