Stochastic Dynamics and Boltzmann Hierarchy

1. Auflage 2009
ISBN: 978-3-11-020804-7
Verlag: De Gruyter

Buch, Englisch, Band 48, 295 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 711 g

Reihe: De Gruyter Expositions in Mathematics

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.

Zielgruppe

Researchers, Graduate Students of Mathematics; University Libraries

Autoren/Hrsg.

Petrina, Dmitri Ya.

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Stochastik

Inhaltsverzeichnis

Frontmatter
Contents
Introduction
Chapter 1. System of hard spheres
Chapter 2. Stochastic dynamics as the limit of the Hamiltonian dynamics of hard spheres
Chapter 3. Stochastic Boltzmann hierarchy
Chapter 4. Solutions of the stochastic Boltzmann hierarchy
Chapter 5. Spatially homogeneous Boltzmann hierarchy
Chapter 6. Stochastic dynamics for the Boltzmann equation with arbitrary differential scattering cross section
Chapter 7. Analog of Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions
Chapter 8. Solution of BBGKY hierarchy for a system of hard spheres with inelastic collisions
Backmatter

Über Autor(innen)

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