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While many scientists are familiar with fractals, fewer are
familiar with scale-invariance and universality which underly the
ubiquity of their shapes. These properties may emerge from the
collective behaviour of simple fundamental constituents, and are
studied using statistical field theories. Initial chapters connect
the particulate perspective developed in the companion volume, to
the coarse grained statistical fields studied here. Based on
lectures taught by Professor Kardar at MIT, this textbook
demonstrates how such theories are formulated and studied.
Perturbation theory, exact solutions, renormalization groups, and
other tools are employed to demonstrate the emergence of scale
invariance and universality, and the non-equilibrium dynamics of
interfaces and directed paths in random media are discussed. Ideal
for advanced graduate courses in statistical physics, it contains
an integrated set of problems, with solutions to selected problems
at the end of the book and a complete set available to lecturers at
www.cambridge.org/9780521873413.
Statistical physics has its origins in attempts to describe the
thermal properties of matter in terms of its constituent particles,
and has played a fundamental role in the development of quantum
mechanics. Based on lectures taught by Professor Kardar at MIT,
this textbook introduces the central concepts and tools of
statistical physics. It contains a chapter on probability and
related issues such as the central limit theorem and information
theory, and covers interacting particles, with an extensive
description of the van der Waals equation and its derivation by
mean field approximation. It also contains an integrated set of
problems, with solutions to selected problems at the end of the
book and a complete set of solutions is available to lecturers on a
password protected website at www.cambridge.org/9780521873420. A
companion volume, Statistical Physics of Fields, discusses non-mean
field aspects of scaling and critical phenomena, through the
perspective of renormalization group.
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