Phase Transitions and Crystal Symmetry
About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different n...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1990, 1990
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| Edition: | 1st ed. 1990 |
| Series: | Fundamental Theories of Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction to Phenomenological Phase Transition Theory
- 1. Fundamentals of Landau’s Thermodynamic Theory
- 2. Prerequisites on Space-group Representations
- References
- 2. Physical Realization of the Order Parameters at a Microscopic Level of Description
- 3. Tensor Representation of the Space Group on a Basis of Localized Atomic Functions
- 4. Permutational Representation and its Basis
- 5. Vector Representation and its Basis
- 6. Pseudovector Representation and its Basis
- References
- 3. Symmetry Change at Phase Transitions
- 7. Change in Translational Symmetry
- 8. The Total Symmetry Change
- 9. Domains
- 10. The Paraphase
- References
- 4. Analysis of the Thermodynamic Potential
- Invariant Expressions of the Thermodynamic Potential
- 12. Integral Rational Basis of Invariants
- 13. Examples of the Construction of an IRBI
- 14. Irreducible Representation Images and Thermodynamic Potential Types
- 44. Fundamentals of the Fluctuation Phase Transitions Theory
- 45. Critical Behavior of Anisotropic Systems
- 46. Fluctuation-Induced Break-Down to First-Order Phase Transitions
- 47. Fluctuations in the Vicinity of Multicritical Points
- References
- References
- 8. Martensite Transformations
- 30. Reconstructive Structural Transitions
- 31. Thermodynamic Analysis of the Homogeneous State
- 32. Inhomogeneous States in the Vicinity of the Phase Transition
- 33. The Omega Phase
- References
- 9. Incommensurate Periodicity Phases
- 34. General Approach to the Problem
- 35. Phases without Linear Gradient Terms in Free Energy
- 36. Phases with Linear Gradient Terms
- 37. Multi-?-structures
- 38. Incommensurate Phases in External Fields
- 39. The Thermodynamics of Phase Transitions to Incommensurate Phases
- References
- 10. Color Symmetry and its Role in Phase Transition Theory
- 40. Color Symmetry in the Theory of Magnetic Structures
- 41. Supersymmetry of Incommensurate Structures
- 42. Icosahedral Symmetry of Crystals. Quasicrystals
- 43. Color Groups in the Theory of Systems with a Quantum Mechanical Order Parameter
- References
- 11. Fluctuations and Symmetry
- 14. Irreducible Representation Images and Thermodynamic Potential Types
- 5. Phase Diagrams in the Space of Thermodynamic Potential Parameters
- 15. Theoretical Fundamentals of the Phase Diagram Construction Method
- 16. The One-Component Order Parameter
- 17. The Two-Component Order Parameter
- 19. The Role of the IRBI in the Construction of Phase Diagrams
- 20. Coupling Order Parameters
- References
- 6. Macroscopic Order Parameters
- 21. Transformation Properties of the Order Parameters
- 22. Interplay of Micro- and Macroparameters
- 23. Ferroics
- 24. Non-ferroics
- References
- 7. Phase Transitions in an External Field
- 25. Phase Diagrams
- Features Peculiar to the Temperature Behavior of Susceptibility in the Vicinity of the Second-Order Phase Transition
- Calculation of Susceptibilities for Second-Order Phase Transitions
- Singularities of theSusceptibility in the Vicinity of the First-Order Phase Transition
- 29. Domains in an External Field