Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7455

Title:	Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas
Authors:	Kundu, Aritra Dhar, Abhishek Sabhapandit, Sanjib
Keywords:	classical integrability correlation functions exact results transport properties
Issue Date:	19-Feb-2020
Publisher:	IOP Publishing and SISSA
Citation:	Journal of Statistical Mechanics: Theory and Experiment, 2020, Article No.023205
Abstract:	We study a gas of point particles with hard-core repulsion in one dimension where the particles move freely in-between elastic collisions. We prepare the system with a uniform density on the infinite line. The velocities {vi;i∈Z} of the particles are chosen independently from a thermal distribution. Using a mapping to the non-interacting gas, we analytically compute the equilibrium spatio-temporal correlations ⟨vmi(t)vnj(0)⟩ for arbitrary integers m,n . The analytical results are verified with microscopic simulations of the Hamiltonian dynamics. The correlation functions have ballistic scaling, as expected in an integrable model.
Description:	Restricted Access.
URI:	http://hdl.handle.net/2289/7455
ISSN:	1742-5468
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2019arXiv190901698K/abstract https://arxiv.org/abs/1909.01698 https://doi.org/10.1088/1742-5468/ab5d0c
Copyright:	2020 IOP Publishing and SISSA
Appears in Collections:	Research Papers (TP)

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