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Kinetic Theory of Granular Gases : Oxford Graduate Texts - Nikolai V. Brilliantov

Kinetic Theory of Granular Gases

Oxford Graduate Texts

Hardcover Published: 1st August 2004
ISBN: 9780198530381
Number Of Pages: 344

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Kinetic Theory of Granular Gases provides an introduction to the rapidly developing theory of dissipative gas dynamics - a theory which has mainly evolved over the last decade. The book is aimed at readers from the advanced undergraduate level upwards and leads on to the present state of research. Throughout, special emphasis is put on a microscopically consistent description of pairwise particle collisions which leads to an impact-velocity-dependent coefficient of restitution. The description of the many-particle system, based on the Boltzmann equation, starts with the derivation of the velocity distribution function, followed by the investigation of self-diffusion and Brownian motion. Using hydrodynamical methods, transport processes and self-organized structure formation are studied.
An appendix gives a brief introduction to event-driven molecular dynamics. A second appendix describes a novel mathematical technique for derivation of kinetic properties, which allows for the application of computer algebra. The text is self-contained, requiring no mathematical or physical knowledge beyond that of standard physics undergraduate level. The material is adequate for a one-semester course and contains chapter summaries as well as exercises with detailed solutions. The molecular dynamics and computer-algebra programs can be downloaded from a companion web page.

'Kinetic Theory of Granular Gases is an admirable contribution by two experts of this rapidly evolving field. In addition to technical details, it provides important insights that are essential for graduate students thinking about the similarities and differences between normal and granular gases. The book fills a significant gap, and I expect it will be adopted for graduate courses in both physics and engineering programs. James W. Duffy, Physics Today,October 2005. 'This appears to be the first introductory text in the rapidly growing field of the kinetic theory of granular materials, a subject with wide ranging applications in physics, astronomy, engineering, and chemistry...No mathematical knowledge is required beyond standard undergraduate level and the book is well adapted for use in graduate courses on kinetic theory, since it includes a broad range of exercises throughout the book'. Journal of Statistical Physics, March 2005.

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

ISBN: 9780198530381
ISBN-10: 0198530382
Series: Oxford Graduate Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 344
Published: 1st August 2004
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.2 x 16.2  x 2.3
Weight (kg): 0.71