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Physics of Critical Fluctuations (Hardcover, 1995 ed.)
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Physics of Critical Fluctuations (Hardcover, 1995 ed.)
Series: Graduate Texts in Contemporary Physics
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Theoretical and experimental studies of phase transitions are at
the forefront of modern condensed-matter physics. The seminal
insight into the role played by fluctuations led to the
renormalization group, an approach that has proved extremely useful
in many other fields as well. This text considers a wide variety of
problems in the theory of phase transitions, revealing their common
features as well as their distinctions. Formal aspects are
developed as required in discussions of particular systems, and
theory is compared to experiment wherever possible. This book
begins with a review of the classical approach, including the main
aspects of a self-consistent treatment of systems with broken
symmetry and a discussion of the Ginzburg-Landau functional. It
then turns to a treatment of the renormalization group, discussing
both Wilson's formulation based on Kadanoff's scale invariance as
well as the approach using field theory. The authors then turn to a
generalized approach using scale equations, which eliminates many
of the problems of the other formulations. Subsequent chapters
discuss applications of this approach: first to simple models; then
to more realistic systems such as complex Heisenberg magnets,
antiferromagnets, ferroelectrics, impure systems, and
high-T(subscript c) superconductors. Finally, in the last two
chapters many of these systems are analyzed within the framework of
exactly solvable models. Suitable for advanced undergraduates as
well as graduate students in physics, the text assumes some
knowledge of statistical mechanics, but is otherwise
self-contained.
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