Granular Gases

Twan P.C. van Noije, Matthieu H. Ernst (auth.), Thorsten Pöschel, Stefan Luding (eds.)3540414584, 9783540414582

“Granular Gases” are diluted many-particle systems in which the mean free path of the particles is much larger than the typical particle size, and where particle collisions occur dissipatively. The dissipation of kinetic energy can lead to effects such as the formation of clusters, anomalous diffusion and characteristic shock waves to name but a few. The book is organized as follows: Part I comprises the rigorous theoretical results for the dilute limit. The detailed properties of binary collisions are described in Part II. Part III contains experimental investigations of granular gases. Large-scale behaviour as found in astrophysical systems is discussed in Part IV. Part V, finally, deals with possible generalizations for dense granular systems.

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Table of contents :
Kinetic Theory of Granular Gases….Pages 3-30
Free Cooling of Particles with Rotational Degrees of Freedom….Pages 31-58
Hydrodynamic Transport Coefficients of Granular Gases….Pages 59-78
Granular Gases: Probing the Boundaries of Hydrodynamics….Pages 79-99
Granular Gases with Impact-Velocity-Dependent Restitution Coefficient….Pages 100-124
Boundary Conditions for Collisional Grain Flows at Bumpy, Frictional Walls….Pages 125-139
Diffusion Process in Two-Dimensional Granular Gases….Pages 140-149
Energy Loss and Aggregation Processes in Low Speed Collisions of Ice Particles Coated with Frosts or Methanol/Water Mixtures….Pages 153-183
Contact Mechanics and Coefficients of Restitution….Pages 184-194
Kinetic Theory for 1D Granular Gases….Pages 195-202
Chains of Viscoelastic Spheres….Pages 203-212
Experimental Studies of Vibro-fluidised Granular Beds….Pages 215-232
Pattern Formation in a Vibrated Granular Layer….Pages 233-243
Experimental Study of a Granular Gas Fluidized by Vibrations….Pages 244-253
Computer Simulation of Vertically Vibrated Granular Layers in a Box with Sawtooth-Shaped Base….Pages 254-265
Resonance Oscillations in Granular Gases….Pages 266-277
Dynamical Evolution of Viscous Discs. Astrophysical Applications to the Formation of Planetary Systems and to the Confinement of Planetary Rings and Arcs….Pages 281-329
Numerical Simulations of the Collisional Dynamics of Planetary Rings….Pages 330-349
Formation of Narrow Ringlets in Saturn’s Rings….Pages 350-362
Granular Viscosity, Planetary Rings and Inelastic Particle Collisions….Pages 363-385
The Equation of State for Almost Elastic, Smooth, Polydisperse Granular Gases for Arbitrary Density….Pages 389-409
Experimental Observations of Non-equilibrium Distributions and Transitions in a 2D Granular Gas….Pages 410-428
Effect of Excluded Volume and Anisotropy on Granular Statistics: “Fermi Statistics” and Condensation….Pages 429-444
How Much Can We Simplify a System of Grains?….Pages 445-456