Magnetic Critical Scattering [Hardcover]

This graduate-level text reviews the field of critical phenomena, including the use of neutron scattering techniques as an aid in their study. The book introduces the principles of magnetic systems and their critical dynamics, outlining the experimental and theoretical methods that have been used to understand the scattering effect. Measurements are examined for the dynamics and statics of one-, two-, and three-dimensional systems. Multicritical effects, critical phase transitions in magnetic metals, dilution, percolation, and random-field effects are also discussed in the light of neutron scattering measurements.

PART I: Theory of Critical Phenomena
1. Introduction to Critical Phenomena
2. Ginzburg-Landau Theory
3. Critical Exponents
4. Universality, Standard Models and Solvable Models
5. Scaling
6. The Renormalization Group
7. Critical Dynamics
8. More Complex Magnetic Systems
9. Dilution, Percolation and Random Fields
PART II: The Technique of Thermal Neutron Scattering and its Application to Investigate Critical Phenomena
10. Basic Properties of Thermal Neutrons
11. Correlation Function Formalism
12. Bragg Scattering
13. Measurement of Critical Dynamics
PART III: Measurements of Critical Scattering
14. Two- and One-Dimensional Systems
15. Three-Dimensional Ising Systems
16. Other Simple Systems in Three Dimensions
17. Multicritical Points
18. Critical Phase Transitions in Magnetic Metals
19. Critical Scattering Investigations of Dilution, Percolation and Random-Field Effects

Collins succeeds admirably in reviewing the field. His idea to restrict the book only to neutron studies of magnetic systems lends a good focus to the text. . . . . The book is a useful starting point for anyone interested in critical phenomena and a must for anyone doing neutron scattering . . . . there is ample use of figures, and the list of references is coml‚