Abstract
Heuristic approaches to the statistics of tagged particle motion in a one-dimensional hard point particle fluid are discussed. An exact expression is obtained for the finite N case with arbitrary single-particle interactionless dynamics. This is extended to the mean over tagged particles as N→∞, and a simple form presented in terms of elementary physical quantities. Extension to single-file flow under quasi-one-dimensional confinement is initiated.
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Based loosely on talks given at Ben-Gurion University, Jan 2007, Rutgers University, Dec 2008, and Beijing Institute of Theoretical Physics, Jan 2009.
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Percus, J.K. On Tagged Particle Dynamics in Highly Confined Fluids. J Stat Phys 138, 40–50 (2010). https://doi.org/10.1007/s10955-009-9917-8
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DOI: https://doi.org/10.1007/s10955-009-9917-8