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… (more)

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.).**Contents:**

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

**Readership:** Graduate students and researchers interested in theoretical physics, condensed matter physics, astrophysics.Statistical Physics;Quantum Field Theory;Path Integrals;Non-Equilibrium Statistical Operator;Noise Induced Phase Transition;Fokker?Plank Equation;Energetic Presentation;Spatially Homogeneous and Inhomogeneous Structure Formation;Self-Gravitating Systems;Coulomb-Like System;Dusty Plasma;Liquid Crystal Colloids0**Key Features:**

- Unified description of interacting many-particle systems combining the methods of statistical physics and quantum field theory
- Unique description of phase transitions with spatially inhomogeneous structure formation

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