Phase Transitions

This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions: the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reactions and moving systems. The book covers the close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.

Sample Chapter(s)
Chapter 1: Phases and Phase Transitions (178 KB)

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Contents:Phases and Phase TransitionsThermodynamics of Phase TransitionsThe Ising ModelMean Field TheoryScalingThe Renormalization GroupPhase Transitions in Quantum SystemsUniversalityPhase Transitions in Reactive SystemsPhase Transitions in Moving SystemsRandom and Small World SystemsSelf-Organized Criticality
Readership: Scientists working in different fields of physics, chemistry, biology and economics as well as teaching material for undergraduate and graduate courses.