Stochastic Dynamics and Boltzmann Hierarchy

Dmitri Ya. Petrina

Published by De Gruyter 2009

Stochastic Dynamics and Boltzmann Hierarchy

Dmitri Ya. Petrina

Volume 48 in the series De Gruyter Expositions in Mathematics

https://doi.org/10.1515/9783110213201

Overview
Contents

About this book

The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics. The book systematizes rigorous results obtained in this field in recent years, and it presents contemporary methods for the investigation of evolution equations of infinite-particle systems.

The book is intended for experts in statistical physics, mathematical physics, and probability theory and for students of universities specialized in mathematics and physics.

Author / Editor information

D. Ya. Petrina †, formerly Ukrainian Academy of Sciences, Kiev, Ukraine.

Reviews

"This book may be useful for advanced graduate students and for scientists who are interested in mathematical problems of the statistical mechanics and rare ed gasesow."
Oleg A. Sinkevich in: Zentralblatt Math 1/2010<

"The reviewer highly recommends this monograph as a reference for stochastic dynamics and the Boltzmann hierarchy." Mathematical Reviews

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	i
Contents Requires Authentication Unlicensed Licensed Download PDF	ix
Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 1. System of hard spheres Requires Authentication Unlicensed Licensed Download PDF	14
Chapter 2. Stochastic dynamics as the limit of the Hamiltonian dynamics of hard spheres Requires Authentication Unlicensed Licensed Download PDF	44
Chapter 3. Stochastic Boltzmann hierarchy Requires Authentication Unlicensed Licensed Download PDF	93
Chapter 4. Solutions of the stochastic Boltzmann hierarchy Requires Authentication Unlicensed Licensed Download PDF	149
Chapter 5. Spatially homogeneous Boltzmann hierarchy Requires Authentication Unlicensed Licensed Download PDF	166
Chapter 6. Stochastic dynamics for the Boltzmann equation with arbitrary differential scattering cross section Requires Authentication Unlicensed Licensed Download PDF	189
Chapter 7. Analog of Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions Requires Authentication Unlicensed Licensed Download PDF	223
Chapter 8. Solution of BBGKY hierarchy for a system of hard spheres with inelastic collisions Requires Authentication Unlicensed Licensed Download PDF	252
Backmatter Requires Authentication Unlicensed Licensed Download PDF	273

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers, Graduate Students of Mathematics; University Libraries
Pages
- Front matter: 13
- Main content: 295
Keywords: Boltzmann Equation; Stochastic Boltzmann Hierarchy; Ito-Louiville Equation Boundary Conditions; Hamilton Dynamics; System of Hard Spheres

eBook

Published: July 14, 2009
ISBN: 9783110213201

Hardcover

Published: July 15, 2009
ISBN: 9783110208047