Hydrodynamics of granular particles on a line
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.
Keywords
Cite
@article{arxiv.1806.01574,
title = {Hydrodynamics of granular particles on a line},
author = {A. Baldassarri and A. Puglisi and A. Prados},
journal= {arXiv preprint arXiv:1806.01574},
year = {2018}
}
Comments
12 pages, 6 figures, to be published on Physical Review E (in press)