We investigate a lattice model representing a granular gas in a thin channel. We deduce the hydrodynamic description for the model from the microscopic dynamics in the large system limit, including the lowest finite-size corrections. The main prediction from hydrodynamics, when finite-size corrections are neglected, is the existence of a steady üniform longitudinal flow" (ULF), with the granular temperature and the velocity gradient both uniform and directly related. Extensive numerical simulations of the system show that such a state can be observed in the bulk of a finite-size system by attaching two thermostats with the same temperature at its boundaries. The relation between the ULF state and the shocks appearing in the late stage of a cooling gas of inelastic hard rods is discussed.
%0 Journal Article
%1 Baldassarri2018
%A Baldassarri, Andrea
%A Puglisi, Andrea
%A Prados, Antonio
%D 2018
%J Physical Review E
%K myown
%N 6
%P 062905
%R 10.1103/PhysRevE.97.062905
%T Hydrodynamics of granular particles on a line
%U http://arxiv.org/abs/1806.01574 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.062905 https://link.aps.org/doi/10.1103/PhysRevE.97.062905
%V 97
%X We investigate a lattice model representing a granular gas in a thin channel. We deduce the hydrodynamic description for the model from the microscopic dynamics in the large system limit, including the lowest finite-size corrections. The main prediction from hydrodynamics, when finite-size corrections are neglected, is the existence of a steady üniform longitudinal flow" (ULF), with the granular temperature and the velocity gradient both uniform and directly related. Extensive numerical simulations of the system show that such a state can be observed in the bulk of a finite-size system by attaching two thermostats with the same temperature at its boundaries. The relation between the ULF state and the shocks appearing in the late stage of a cooling gas of inelastic hard rods is discussed.
@article{Baldassarri2018,
abstract = {We investigate a lattice model representing a granular gas in a thin channel. We deduce the hydrodynamic description for the model from the microscopic dynamics in the large system limit, including the lowest finite-size corrections. The main prediction from hydrodynamics, when finite-size corrections are neglected, is the existence of a steady "uniform longitudinal flow" (ULF), with the granular temperature and the velocity gradient both uniform and directly related. Extensive numerical simulations of the system show that such a state can be observed in the bulk of a finite-size system by attaching two thermostats with the same temperature at its boundaries. The relation between the ULF state and the shocks appearing in the late stage of a cooling gas of inelastic hard rods is discussed.},
added-at = {2019-07-22T11:50:34.000+0200},
archiveprefix = {arXiv},
arxivid = {1806.01574},
author = {Baldassarri, Andrea and Puglisi, Andrea and Prados, Antonio},
biburl = {https://www.bibsonomy.org/bibtex/28386b78682d928bc969b2597d46beb40/andreab},
doi = {10.1103/PhysRevE.97.062905},
eprint = {1806.01574},
file = {:home/andreab/Documents/Mendeley Desktop/Baldassarri, Puglisi, Prados - 2018 - Hydrodynamics of granular particles on a line - Unknown.pdf:pdf},
interhash = {a2a3d539ac8f9b8b053f6c61b634adc6},
intrahash = {8386b78682d928bc969b2597d46beb40},
issn = {2470-0045},
journal = {Physical Review E},
keywords = {myown},
mendeley-groups = {Miei},
month = jun,
number = 6,
pages = 062905,
timestamp = {2019-07-22T11:50:34.000+0200},
title = {Hydrodynamics of granular particles on a line},
url = {http://arxiv.org/abs/1806.01574 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.062905 https://link.aps.org/doi/10.1103/PhysRevE.97.062905},
volume = 97,
year = 2018
}