Kinetic Theory of Granular Gases
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.
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Kinetic Theory of Granular Gases
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.
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Kinetic Theory of Granular Gases

Kinetic Theory of Granular Gases

Kinetic Theory of Granular Gases

Kinetic Theory of Granular Gases

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Overview

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.

Product Details

ISBN-13: 9780199588138
Publisher: Oxford University Press
Publication date: 12/30/2010
Series: Oxford Graduate Texts
Edition description: Reprint
Pages: 344
Product dimensions: 6.10(w) x 9.10(h) x 0.80(d)

About the Author

Moscow State University

Humboldt University Berlin

Table of Contents

1. IntroductionI Mechanics of Particle Collisions2. Particle collisions3. Coefficients of restitution4. Applications to few-particle systemsII Granular Gases - Velocity Distribution Function5. Cooling granular gas - Haff's law6. Boltzmann equation7. Sonine polynomials expansion of the velocity distribution function8 Velocity distribution and temperature of a granular gas for the case epsilon = const.9. Velocity distribution function and temperature for viscoelastic particles10. High-energy tail of the velocity distribution function11. Two-dimensional granular gasesIII Single-particle Transport, Self-Diffusion and Brownian Motion12. Diffusion and self-diffusion13. Pseudo-Liouville and binary collision operators in dissipative gas dynamics14. Coefficient of self-diffusion15. Brownian motion in granular gases16. Two-dimensional granular gasesIV Transport Processes and Kinetic Coefficients17. Granular gas as a continuum: hydrodynamic equations18. Chapman-Enskog approach for non-uniform granular gases19. Kinetic coefficients and velocity distribution for gases of elastic particles20. Kinetic coefficients for granular gases of simplified particles21. Kinetic coefficients for granular gases of viscoelastic particles22. Chapman-Enskog method for self-diffusion coefficients23. Two-dimensional granular gasesV Structure Formation24. Instability of the homogeneous cooling state25 Structure formation for epsilon = const.26. Structure formation in granular gases of viscoelastic particles27. Nonlinear mechanisms for structure formation28. Two-dimensional granular gasesA. Functions of the collision integralB. Molecular dynamics of granular gasesC. Solutions to the problems
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