Yeomans J.M. Statistical Mechanics of Phase Transitions

Oxford University Press, New York, 1992. – 161 p. – ISBN: 0198517297, 0198517300. |Recent developments have led to a good understanding of universality: why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and accurately described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered; and two chapters are devoted to the renormalization group which led to a breakthrough in the field.Statistical mechanics and thermodynamics
Models
Mean-field theories
The transfer matrix
Series expansions
Monte Carlo simulations
The renormalization group
Implementations of the renormalization group
Further reading