Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-07-07
Phys. Rev. E 69, 046306 (2004)
Nonlinear Sciences
Chaotic Dynamics
Final (strongly modified) version accepted in PRE; 6 pages, 3 figures
Scientific paper
10.1103/PhysRevE.69.046306
The equation of the density field of an assembly of macroscopic particles advected by a hydrodynamic flow is derived from the microscopic description of the system. This equation allows to recognize the role and the relative importance of the different microscopic processes implicit in the model: the driving of the external flow, the inertia of the particles, and the collisions among them. The validity of the density description is confirmed by comparisons of numerical studies of the continuum equation with Direct Simulation Monte Carlo (DSMC) simulations of hard disks advected by a chaotic flow. We show that the collisions have two competing roles: a dispersing-like effect and a clustering effect (even for elastic collisions). An unexpected feature is also observed in the system: the presence of collisions can reverse the effect of inertia, so that grains with lower inertia are more clusterized.
Lopez Cristobal
Puglisi Andrea
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