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Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems (Hardcover)
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Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems (Hardcover)
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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.).
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