A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities.
1. Chapter 1: Introduction: Classical Phases and Critical Points - p. xi 2. Chapter 2: The Ising Model and Its Basic Characteristics in the Mean Field Approximation - p. 8 3. Chapter 3: General Mean Field Approach - p. 30 4. Chapter 4: The Landau Theory of Phase Transitions: General Concept and Its Microscopic Relation to Mean Field Theory - p. 54 5. Chapter 5: More General Considerations Concerning Mean Field Theory: The Stratonovich–Hubbard Transformation⁎ - p. 85 6. Chapter 6: Generalities Relating to the Study of Critical Phenomena - p. 91 7. Chapter 7: Failure of Mean Field Theory and Scaling Methods - p. 100 8. Chapter 8: Kadanoff Scaling - p. 109 9. Chapter 9: The Renormalization Group Operations - p. 122 10. Chapter 10: Additional Interrelations Between Critical Exponents - p. 138 11. Chapter 11: Extension of the Landau Approach to Inhomogeneous Systems and the Physical Picture of Gaussian Fluctuations - p. 145 12. Chapter 12: The Ginzburg–Landau Functional for a Continuous System: Formal Approach to Gaussian Fluctuations - p. 157 13. Chapter 13: The Ginzburg–Landau–Wilson Formalism: Beyond the Gaussian Approximation - p. 173 14. Chapter 14: Correlation Functions - p. 184 15. Chapter 15: Beyond the Landau Model - p. 194 16. Chapter 16: An Elementary Examination of Quantum Phase Transitions Involving Fermions⁎ - p. 201 17. Chapter 17: Supplement: Going Beyond the Gaussian Formulation - p. 220 18. Bibliography - p. 237 19. Index - p. 239
A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities.
1. Chapter 1: Introduction: Classical Phases and Critical Points - p. xi 2. Chapter 2: The Ising Model and Its Basic Characteristics in the Mean Field Approximation - p. 8 3. Chapter 3: General Mean Field Approach - p. 30 4. Chapter 4: The Landau Theory of Phase Transitions: General Concept and Its Microscopic Relation to Mean Field Theory - p. 54 5. Chapter 5: More General Considerations Concerning Mean Field Theory: The Stratonovich–Hubbard Transformation⁎ - p. 85 6. Chapter 6: Generalities Relating to the Study of Critical Phenomena - p. 91 7. Chapter 7: Failure of Mean Field Theory and Scaling Methods - p. 100 8. Chapter 8: Kadanoff Scaling - p. 109 9. Chapter 9: The Renormalization Group Operations - p. 122 10. Chapter 10: Additional Interrelations Between Critical Exponents - p. 138 11. Chapter 11: Extension of the Landau Approach to Inhomogeneous Systems and the Physical Picture of Gaussian Fluctuations - p. 145 12. Chapter 12: The Ginzburg–Landau Functional for a Continuous System: Formal Approach to Gaussian Fluctuations - p. 157 13. Chapter 13: The Ginzburg–Landau–Wilson Formalism: Beyond the Gaussian Approximation - p. 173 14. Chapter 14: Correlation Functions - p. 184 15. Chapter 15: Beyond the Landau Model - p. 194 16. Chapter 16: An Elementary Examination of Quantum Phase Transitions Involving Fermions⁎ - p. 201 17. Chapter 17: Supplement: Going Beyond the Gaussian Formulation - p. 220 18. Bibliography - p. 237 19. Index - p. 239
