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Equivalence of the freely cooling granular gas to the sticky gas

DSpace at IIT Bombay

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Title Equivalence of the freely cooling granular gas to the sticky gas
 
Creator SHINDE, M
DAS, D
RAJESH, R
 
Subject velocity distribution
behavior
statistics
dynamics
spheres
flows
granular materials
molecular dynamics method
 
Description A freely cooling granular gas with a velocity-dependent restitution coefficient is studied in one dimension. The restitution coefficient becomes near elastic when the relative velocity of the colliding particles is less than a velocity scale delta. Different statistical quantities, namely, density distribution, occupied and empty cluster length distributions, and spatial density and velocity correlation functions, are obtained using event driven molecular dynamic simulations. We compare these with the corresponding quantities of the sticky gas (inelastic gas with zero coefficient of restitution). We find that in the inhomogeneous cooling regime, for times smaller than a crossover time t(1), where t(1)similar to delta(-1), the behavior of the granular gas is equivalent to that of the sticky gas. When delta -> 0, then t(1)->infinity and, hence, the results support an earlier claim that the freely cooling inelastic gas is described by the inviscid Burgers equation. For a real granular gas with finite delta, the existence of the time scale t(1) shows that, for large times, the granular gas is not described by the inviscid Burgers equation.
 
Publisher AMER PHYSICAL SOC
 
Date 2011-07-16T20:47:06Z
2011-12-26T12:49:57Z
2011-12-27T05:35:48Z
2011-07-16T20:47:06Z
2011-12-26T12:49:57Z
2011-12-27T05:35:48Z
2009
 
Type Article
 
Identifier PHYSICAL REVIEW E, 79(2), -
1539-3755
http://dx.doi.org/10.1103/PhysRevE.79.021303
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4526
http://hdl.handle.net/10054/4526
 
Language en