Unlike molecular gases like air, the particles of granular gases (like a cloud of dust) lose at collisions part of their kinetic energy. This is the origin of many exciting physical properties. While the theory of molecular gases belongs to any undergraduate physics course, Kinetic Theory of Granular Gases provides a self-contained introduction to the subject of granular gases at the advanced undergraduate and beginning graduate level. It is mainly addressed to students and researchers of physics, astronomy (planetary sciences and cosmic dust) as well as mechanical and chemical engineering.
Unlike molecular gases like air, the particles of granular gases (like a cloud of dust) lose at collisions part of their kinetic energy. This is the origin of many exciting physical properties. While the theory of molecular gases belongs to any undergraduate physics course, Kinetic Theory of Granular Gases provides a self-contained introduction to the subject of granular gases at the advanced undergraduate and beginning graduate level. It is mainly addressed to students and researchers of physics, astronomy (planetary sciences and cosmic dust) as well as mechanical and chemical engineering.
Dr Nikolai V. Brilliantov, Department of Physics, Moscow State University, nbrillia@yahoo.com, nbrillia@polly.phys.msu.su Professor Thorsten Poeschel, Institute for Biochemistry, Humboldt University, Berlin, thorsten.poeschel@charite.de
Inhaltsangabe
* 1: Introduction * I Mechanics of Particle Collisions * 2: Particle collisions * 3: Coefficients of restitution * 4: Applications to few-particle systems * II Granular Gases - Velocity Distribution Function * 5: Cooling granular gas - Haff's law * 6: Boltzmann equation * 7: Sonine polynomials expansion of the velocity distribution function * 8: Velocity distribution and temperature of a granular gas for the case epsilon = const. * 9: Velocity distribution function and temperature for viscoelastic particles * 10: High-energy tail of the velocity distribution function * 11: Two-dimensional granular gases * III Single-particle Transport, Self-Diffusion and Brownian Motion * 12: Diffusion and self-diffusion * 13: Pseudo-Liouville and binary collision operators in dissipative gas dynamics * 14: Coefficient of self-diffusion * 15: Brownian motion in granular gases * 16: Two-dimensional granular gases * IV Transport Processes and Kinetic Coefficients * 17: Granular gas as a continuum: hydrodynamic equations * 18: Chapman-Enskog approach for non-uniform granular gases * 19: Kinetic coefficients and velocity distribution for gases of elastic particles * 20: Kinetic coefficients for granular gases of simplified particles * 21: Kinetic coefficients for granular gases of viscoelastic particles * 22: Chapman-Enskog method for self-diffusion coefficients * 23: Two-dimensional granular gases * V Structure Formation * 24: Instability of the homogeneous cooling state * 25: Structure formation for epsilon = const. * 26: Structure formation in granular gases of viscoelastic particles * 27: Nonlinear mechanisms for structure formation * 28: Two-dimensional granular gases * A: Functions of the collision integral * B: Molecular dynamics of granular gases * C: Solutions to the problems
* 1: Introduction * I Mechanics of Particle Collisions * 2: Particle collisions * 3: Coefficients of restitution * 4: Applications to few-particle systems * II Granular Gases - Velocity Distribution Function * 5: Cooling granular gas - Haff's law * 6: Boltzmann equation * 7: Sonine polynomials expansion of the velocity distribution function * 8: Velocity distribution and temperature of a granular gas for the case epsilon = const. * 9: Velocity distribution function and temperature for viscoelastic particles * 10: High-energy tail of the velocity distribution function * 11: Two-dimensional granular gases * III Single-particle Transport, Self-Diffusion and Brownian Motion * 12: Diffusion and self-diffusion * 13: Pseudo-Liouville and binary collision operators in dissipative gas dynamics * 14: Coefficient of self-diffusion * 15: Brownian motion in granular gases * 16: Two-dimensional granular gases * IV Transport Processes and Kinetic Coefficients * 17: Granular gas as a continuum: hydrodynamic equations * 18: Chapman-Enskog approach for non-uniform granular gases * 19: Kinetic coefficients and velocity distribution for gases of elastic particles * 20: Kinetic coefficients for granular gases of simplified particles * 21: Kinetic coefficients for granular gases of viscoelastic particles * 22: Chapman-Enskog method for self-diffusion coefficients * 23: Two-dimensional granular gases * V Structure Formation * 24: Instability of the homogeneous cooling state * 25: Structure formation for epsilon = const. * 26: Structure formation in granular gases of viscoelastic particles * 27: Nonlinear mechanisms for structure formation * 28: Two-dimensional granular gases * A: Functions of the collision integral * B: Molecular dynamics of granular gases * C: Solutions to the problems
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