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Magnetic Critical Scattering

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. Multi-critical effects, critical phase transitions in magnetic metals, dilution , percolation, and random field effects are also discussed in the light of neutron scattering measurements.
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Table of Contents

I: THEORY OF CRITICAL PHENOMENA: Introduction to critical phenomena; Ginzburg-Landau theory; Critical exponents; Universality, standard models and solvable models; Scaling; The renormalization group; Critical dynamics; More complex magnetic systems; Dilution, percolation and random fields; II: THE TECHNIQUE OF THERMAL NEUTRON SCATTERING AND ITS APPLICATION TO INVESTIGATE CRITICAL PHENOMENA: Basic properties of thermal neutrons; Correlation function formalism; Bragg scattering; Measurement of critical dynamics; III: MEASUREMENTS OF CRITICAL SCATTERING: Two- and one-dimensional systems; Three-dimensional Ising systems; Other simple systems in three dimensions; Multicritical points; Critical phase transitions in magnetic metals; Critical scattering investigations of dilution, percolation and random-field effects.


'Professor Collins' book is to be welcomed ... will be a useful introduction and summary for postgraduate students working in the field of phase transitions' Professor R.A. Cowley, FRS (Clarendon Laboratory, Oxford), Contemporary Physics, Volume 31, Number 3, May/June 1990

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