Matthieu H. Ernst, Ricardo Brito (auth.), Thorsten Pöschel, Nikolai Brilliantov (eds.)3540201106, 9783540201106
While there is not yet any general theory for granular materials, significant progress has been achieved for dilute systems, also called granular gases. The contributions in this book address both the kinetic approach one using the Boltzmann equation for dissipative gases as well as the less established hydrodynamic description. The last part of the book is devoted to driven granular gases and their analogy with molecular fluids. Care has been taken so as to present the material in a pedagogical and self-contained way and this volume will thus be particularly useful to nonspecialists and newcomers to the field.
Table of contents :
Asymptotic Solutions of the Nonlinear Boltzmann Equation for Dissipative Systems….Pages 3-36
The Homogeneous Cooling State Revisited….Pages 37-63
The Inelastic Maxwell Model….Pages 65-94
Velocity Fluctuations in Cooling Granular Gases….Pages 95-117
Self-Similar Asymptotics for the Boltzmann Equation with Inelastic Interactions….Pages 119-129
Kinetic Integrals in the Kinetic Theoryof Dissipative Gases….Pages 131-162
Kinetics of Fragmenting Freely Evolving Granular Gases….Pages 163-184
Shock Waves in Granular Gases….Pages 187-225
Linearized Boltzmann Equation and Hydrodynamics for Granular Gases….Pages 227-249
Development of a Density Inversion in Driven Granular Gases….Pages 251-266
Kinetic Theory for Inertia Flows of Dilute Turbulent Gas-Solids Mixtures….Pages 267-289
Driven Granular Gases….Pages 293-316
Van der Waals-Like Transition in Fluidized Granular Matter….Pages 317-333
Birth and Sudden Death of a Granular Cluster….Pages 335-346
Vibrated Granular Media as Experimentally Realizable Granular Gases….Pages 347-366
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