Stochastic dynamics and Boltzmann hierarchy / by D. Ya. Petrina.

Format:

Book

Author/Creator:

Petrina, D. I⁻¡A. (Dmitriĭ I⁻¡Akovlevich)

Series:

De Gruyter expositions in mathematics ; 48.

De Gruyter expositions in mathematics, 0938-6572 ; 48

Language:

English

Subjects (All):

Transport theory.

Stochastic processes.

Physical Description:

1 online resource (309 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; New York : Walter de Gruyter, c2009.

Language Note:

English

Summary:

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.

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [273]-295) and index.

ISBN:

9786612296482

9781282296480

1282296485

9783111737164

3111737160

9783110213201

3110213206

OCLC:

456907365