%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 }