TY - JOUR
T1 - Van der Waals-like phase-separation instability of a driven granular gas in three dimensions
AU - Liu, Rui
AU - Li, Yinchang
AU - Hou, Meiying
AU - Meerson, Baruch
PY - 2007/6/13
Y1 - 2007/6/13
N2 - We show that the van der Waals-like phase-separation instability of a driven granular gas at zero gravity, previously investigated in two-dimensional settings, persists in three dimensions. We consider a monodisperse granular gas driven by a thermal wall of a three-dimensional rectangular container at zero gravity. The basic steady state of this system, as described by granular hydrodynamic equations, involves a denser and colder layer of granulate located at the wall opposite to the driving wall. When the inelastic energy loss is sufficiently high, the driven granular gas exhibits, in some range of average densities, negative compressibility in the directions parallel to the driving wall. When the lateral dimensions of the container are sufficiently large, the negative compressibility causes spontaneous symmetry breaking of the basic steady state and a phase separation instability. Event-driven molecular dynamics simulations confirm and complement our theoretical predictions.
AB - We show that the van der Waals-like phase-separation instability of a driven granular gas at zero gravity, previously investigated in two-dimensional settings, persists in three dimensions. We consider a monodisperse granular gas driven by a thermal wall of a three-dimensional rectangular container at zero gravity. The basic steady state of this system, as described by granular hydrodynamic equations, involves a denser and colder layer of granulate located at the wall opposite to the driving wall. When the inelastic energy loss is sufficiently high, the driven granular gas exhibits, in some range of average densities, negative compressibility in the directions parallel to the driving wall. When the lateral dimensions of the container are sufficiently large, the negative compressibility causes spontaneous symmetry breaking of the basic steady state and a phase separation instability. Event-driven molecular dynamics simulations confirm and complement our theoretical predictions.
UR - http://www.scopus.com/inward/record.url?scp=34547284170&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.75.061304
DO - 10.1103/PhysRevE.75.061304
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AN - SCOPUS:34547284170
SN - 1539-3755
VL - 75
JO - Physical Review E
JF - Physical Review E
IS - 6
M1 - 061304
ER -