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Title: Statistics of the total number of collisions and the ordering time in a freely expanding hard-point gas
Authors: Sabhapandit, Sanjib
Bena, Ioana
Majumdar, Satya N.
Issue Date: Aug-2008
Publisher: IOP Publishing Ltd
Citation: Journal of Statistical Mechanics, 2008, 05012
Abstract: We 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 To, 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 To. We show that several features of these distributions are universal.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
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Copyright: 2008 IOP Publishing Ltd.
Appears in Collections:Research Papers (TP)

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