Granular Gases

1. Front Matter

   Pages I-IX

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2. Kinetic Theory and Hydrodynamics

   1. Kinetic Theory of Granular Gases

      • Twan P.C. van Noije, Matthieu H. Ernst

      Pages 3-30

   2. Free Cooling of Particles with Rotational Degrees of Freedom

      • Timo Aspelmeier, Martin Huthmann, Annette Zippelius

      Pages 31-58

   3. Hydrodynamic Transport Coefficients of Granular Gases

      • J. Javier Brey, David Cubero

      Pages 59-78

   4. Granular Gases: Probing the Boundaries of Hydrodynamics

      • Isaac Goldhirsch

      Pages 79-99

   5. Granular Gases with Impact-Velocity-Dependent Restitution Coefficient

      • Nikolai V. Brilliantov, Thorsten Pöschel

      Pages 100-124

   6. Boundary Conditions for Collisional Grain Flows at Bumpy, Frictional Walls

      • James T. Jenkins

      Pages 125-139

   7. Diffusion Process in Two-Dimensional Granular Gases

      • Christian Henrique, George Batrouni, Daniel Bideau

      Pages 140-149

3. Collisions and One-Dimensional Models

   1. Energy Loss and Aggregation Processes in Low Speed Collisions of Ice Particles Coated with Frosts or Methanol/Water Mixtures

      • Frank Bridges, Kimberley Supulver, Douglas N.C. Lin

      Pages 153-183

   2. Contact Mechanics and Coefficients of Restitution

      • Colin Thornton, Zemin Ning, Chuan-yu Wu, Mohammed Nasrullah, Long-yuan Li

      Pages 184-194

   3. Kinetic Theory for 1D Granular Gases

      • Rosa Ramírez, Patricio Cordero

      Pages 195-202

   4. Chains of Viscoelastic Spheres

      • Thorsten Pöschel, Nikolai V. Brilliantov

      Pages 203-212

4. Vibrated Granular Media

   1. Experimental Studies of Vibro-fluidised Granular Beds

      • Ricky D. Wildman, Jonathan M. Huntley, Jean-Pierre Hansen

      Pages 215-232

   2. Pattern Formation in a Vibrated Granular Layer

      • Eric Clément, Laurent Labous

      Pages 233-243

   3. Experimental Study of a Granular Gas Fluidized by Vibrations

      • Éric Falcon, Stéphan Fauve, Claude Laroche

      Pages 244-253

   4. Computer Simulation of Vertically Vibrated Granular Layers in a Box with Sawtooth-Shaped Base

      • Zénó Farkas, András Vukics, Tamás Vicsek

      Pages 254-265

   5. Resonance Oscillations in Granular Gases

      • Alexander Goldshtein, Alexander Alexeev, Michael Shapiro

      Pages 266-277

5. Granular Astrophysics

   1. Dynamical Evolution of Viscous Discs. Astrophysical Applications to the Formation of Planetary Systems and to the Confinement of Planetary Rings and Arcs

      • André Brahic

      Pages 281-329

   2. Numerical Simulations of the Collisional Dynamics of Planetary Rings

      • Heikki Salo

      Pages 330-349

   3. Formation of Narrow Ringlets in Saturn’s Rings

      • Jyrki Hänninen

      Pages 350-362

"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.

• Dissipation
• friction
• gases
• granular gases
• granular matter
• granular media
• mechanics
• resonance
• rotation
• soft matter
• vibration

• Charité,Institut für Biochemie, Humboldt-Universität zu Berlin, Berlin, Germany

  Thorsten Pöschel

• Institut für Computeranwendungen Abt. I Physik, Universiät Stuttgart, Stuttgart, Germany

  Stefan Luding

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