Statistical Physics of Fields

ISBN-10: 052187341X
ISBN-13: 9780521873413
Edition: 2007
Authors: Mehran Kardar
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Description: While many scientists are familiar with fractals, fewer are familiar with the concepts of scale-invariance and universality which underly the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental  More...

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Book details

List price: $93.00
Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 6/7/2007
Binding: Hardcover
Pages: 370
Size: 7.75" wide x 9.75" long x 0.75" tall
Weight: 2.354
Language: English

While many scientists are familiar with fractals, fewer are familiar with the concepts of 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. Based on lectures for a course in statistical mechanics taught by Professor Kardar at Massachusetts Institute of Technology, 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. A complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873413.

Mehran Kardar is Professor of Physics at MIT, where he has taught and researched in the field of Statistical Physics for the past twenty years. He received his BA in Cambridge, and gained his PhD at MIT. Professor Kardar has held research and visiting positions as a junior fellow at Harvard, a Guggenheim fellow at Oxford, UCSB, and at Berkeley as a Miller Fellow.

Collective behaviour, from particles to fields
Statistical fields
Fluctuations
The scaling hypothesis
Perturbative renormalization group
Lattice systems
Series expansions
Beyond spin waves
Dissipative dynamics
Directed paths in random media
Solutions to selected problems
Index

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