Title:	Exact probability distribution for the two-tag displacement in single-file motion
Authors:	Sabhapandit, Sanjib Dhar, Abhishek
Issue Date:	Jul-2015
Publisher:	IOP Publishing for SISSA
Citation:	Journal of Statistical Mechanics: Theory and Experiment, 2015, P07024
Abstract:	We consider a gas of point particles moving on the one-dimensional line with a hard-core inter-particle interaction that prevents particle crossings—this is usually referred to as single-file motion. The individual particle dynamics can be arbitrary and they only interact when they meet. Starting from initial conditions such that particles are uniformly distributed, we observe the displacement of a tagged particle at time t, with respect to the initial position of another tagged particle, such that their tags differ by r. For r   =   0, this is the usual well studied problem of the tagged particle motion. Using a mapping to a non-interacting particle system we compute the exact probability distribution function for the two-tagged particle displacement, for general single particle dynamics. As by-products, we compute the large deviation function, various cumulants and, for the case of Hamiltonian dynamics, the two-particle velocity auto-correlation function.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/6365
ISSN:	1742-5468 (Online)
Alternative Location:	http://arxiv.org/abs/1506.01824 http://dx.doi.org/10.1088/1742-5468/2015/07/P07024 http://adsabs.harvard.edu/abs/2015JSMTE..07..024S
Copyright:	2015 IOP Publishing and SISSA Medialab srl
Appears in Collections:	Research Papers (TP)

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