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Title: Tagged particle diffusion in one-dimensional gas with Hamiltonian dynamics
Authors: Roy, Anjan
Narayan, Onuttom
Dhar, Abhishek
Sabhapandit, Sanjib
Keywords: Hamiltonian dynamics
Hard particle gas
Tagged particle diffusion
Velocity autocorrelation function
Issue Date: Mar-2013
Publisher: Springer Verlag
Citation: Journal of Statistical Physics, 2013, Vol.150, p851-866
Abstract: We consider a one-dimensional gas of hard point particles in a finite box that are in thermal equilibrium and evolving under Hamiltonian dynamics. Tagged particle correlation functions of the middle particle are studied. For the special case where all particles have the same mass, we obtain analytic results for the velocity auto-correlation function in the short time diffusive regime and the long time approach to the saturation value when finite-size effects become relevant. In the case where the masses are unequal, numerical simulations indicate sub-diffusive behaviour with mean square displacement of the tagged particle growing as t/ln( t) with time t. Also various correlation functions, involving the velocity and position of the tagged particle, show damped oscillations at long times that are absent for the equal mass case.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0022-4715
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Copyright: 2013 Springer Verlag
Appears in Collections:Research Papers (TP)

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