Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems

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Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems

Lev, Bohdan/ Zagorodny, Anatoly

ウェブストア価格 ¥26,084（本体¥23,713）
World Scientific Publishing Co Pte Ltd（2021/04発売）
外貨定価 US$ 118.00
ポイント 237pt

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製本 Hardcover:ハードカバー版／ページ数 300 p.
言語 ENG
商品コード 9789811229978
DDC分類 530.133

Full Description

This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.

The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.

To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).

Foreword; Introduction; Statistical Physics of Interacting Particle Systems; Statistical Description of Phase Transitions; Path Integration and the Field Theory; Peculiarity of Calculation of Some Models; Statistical Description of the Condensed Matter; Inhomogeneous Distribution in Systems of Interacting Particles; Cellular Structures in the Condensed Matter; Statistical Description of Nonequilibrium Interacting Systems; Conclusions; Bibliography;