Statistics of the total number of collisions and the ordering time in a freely expanding hard-point gas

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dc.creatorSabhapandit, Sanjib
dc.creatorBena, Ioana
dc.creatorMajumdar, Satya N.
dc.date2008-04-11
dc.date2008-04-14
dc.date.accessioned2026-07-07T09:41:02Z
dc.date.available2026-07-07T09:41:02Z
dc.descriptionWe consider a Jepsen gas of $N$ hard-point particles undergoing free expansion on a line, starting from random initial positions of the particles having random initial velocities. The particles undergo binary elastic collisions upon contact and move freely in-between collisions. After a certain ordering time $T_{o}$, the system reaches a ``fan'' state where all the velocities are completely ordered from left to right in an increasing fashion and there is no further collision. We compute analytically the distributions of (i) the total number of collisions and (ii) the ordering time $T_{o}$. We show that several features of these distributions are universal.
dc.description18 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0804.1866
dc.identifierhttp://arxiv.org/abs/0804.1866
dc.identifierJournal of Statistical Mechanics: Theory & Experiment, 2008, P05012
dc.identifierdoi:10.1088/1742-5468/2008/05/P05012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161686
dc.subjectStatistical Mechanics
dc.titleStatistics of the total number of collisions and the ordering time in a freely expanding hard-point gas
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