Kinetic Theory Of Granular Gases (oxford Graduate Texts)
by Nikolai V. Brilliantov /
2010 / English / PDF
17.7 MB Download
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.
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.
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.