Phase Transitions

Modern Applications

By: Moshe Gitterman

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eText | 25 September 2013 | Edition Number 2

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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.

Contents:

Phases and Phase Transitions
Thermodynamics of Phase Transitions
The Ising Model
Mean Field Theory
Scaling
The Renormalization Group
Phase Transitions in Quantum Systems
Universality
Phase Transitions in Reactive Systems
Phase Transitions in Moving Systems
Random and Small World Systems
Self-Organized Criticality

Readership: Scientists working in different fields of physics, chemistry, biology and economics as well as teaching material for undergraduate and graduate courses.