Kinetic Theory Classical, Quantum, and Relativistic Descriptions [Hardcover]

This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.

Kinetic Theory: Classical, Quantum, and Relativistic Descriptions goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. Its clear exposition and emphasis on concrete examples will make it not only an excellent graduate text but also a valuable resource for researchers in such disciplines as aerospace, mechanical, and chemical engineering; astrophysics, solid state and laser physics and devices, plasma physics, and controlled and thermonuclear fusion.Among the topics covered are:- The Liouville equation and analyses of the Liouville equation, including two independent derivations- The Boltzmann equation and Boltzmann's H-theorem- Analysis of the linearized collision operator- Fluid dynamics and irreversibility- Assorted kinetic equations with applications to plasmas and neutral fluids- Elements of quantum kinetic theory, including the Green's-function formalism and the Wigner-Moyal equation- Relativistic kinetic theory and Lorentz invariants- Kinetic properties of metals and amorphous media- Monte-Carlo analysis in kinetic theory- Kinetic study of shock wavesThis third revised edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.Each chapter concludes with a variety of problems, many of which provide self-contained descriptions of related topics; lists of such topical problems are included in the Table of Contents. Numerous appendices supply vector formulas and tensor notation, properties of special functions, physical constants, references, and a historical time chart.The Liouville Equation / Analyses of the Liouville Equation / The Boltzmann ElS.