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Exactly solved models : a journey in statistical mechanics : selected papers with commentaries (1963-2008) /
"This unique volume provides a comprehensive overview of exactly solved models in statistical mechanics by looking at the scientific achievements of F Y Wu in this and related fields, which span four decades of his career. The book is organized into topics ranging from lattice models in condens...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensack, NJ :
World Scientific,
©2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Contents
- Introduction by C.N. Yang
- Preface
- COMMENTARIES
- 1. Dimer Statistics
- Introduction
- The pfaffian approach
- The rectangular lattice
- Rectangular lattice with a boundary vacancy
- The honeycomb and kagome lattices
- Solution of a three-dimensional dimer model
- Remarks
- References for Chapter 1
- 2. The Vertex Model
- Introduction
- The eight-vertex model (rectangular lattice)
- The five-vertex model (rectangular lattice)
- The eight-vertex model (honeycomb lattice)
- Vertex models in higher dimensions
- Remarks
- References for Chapter 2
- 3. Duality and Gauge Transformations
- Introduction
- Duality relation for the Potts and the chiral Potts models
- Gauge transformation for the vertex model and syzygies
- Duality relation for frustrated spin systems
- Duality relation for Potts correlation functions
- References for Chapter 3
- 4. The Ising Model
- Introduction
- Ising representation of the eight-vertex model
- The Baxter-Wu model
- Density of Fisher zeroes
- Solution of the Ising model on nonorientable surfaces
- Remarks
- References for Chapter 4
- 5. The Potts Model
- Introduction
- Graphical formulation of the Potts model
- Rigorous determination of the Potts critical point
- Potts partition function zeroes
- Remarks
- References for Chapter 5
- 6. Critical Frontiers
- Introduction
- The Potts model
- The antiferromagnetic Ising model in a magnetic field
- The Blume-Emery-Griffiths model
- The Ashkin-Teller model
- The O(n) model
- Remarks
- References for Chapter 6
- 7. Percolation
- Introduction
- The random-cluster model and the Potts model
- Percolation thresholds
- An infinite-range bond percolation
- Directed percolation
- Remarks
- References for Chapter 7
- 8. Graph Theory
- Introduction
- Graphical analyses in many-body theory
- The Potts model and the Tutte polynomial
- Random graphs
- Spanning trees
- Graphical analysis of lattice models
- References for Chapter 8
- 9. Knot Invariants
- Introduction
- Lattice models and knot invariants
- Two new knot invariants
- Knot invariants from spin models
- Bracket polynomial and the non intersecting string model
- Remarks
- References for Chapter 9
- 10. Other Topics
- Theory of electrical circuits
- Quantization of the orbital angular momentum
- The vicious neighbor problem
- Restricted partitions of an integer
- The Hubbard model
- Review of a book by Ta-You Wu
- Eulogy on Shang-Keng Ma
- Professor C.N. Yang and statistical mechanics
- References for Chapter 10
- Photographs
- Reprinted Papers
- REPRINTED PAPERS
- 1. Dimer Statistics
- PI Exactly Soluble Model of the Ferroelectric Phase Transition in Two Dimensions F.Y. Wu
- P2 Dimers on Two-Dimensional Lattices F.Y. Wu
- P3 Close-Packed Dimers on Nonorientable Surfaces W.T. Lu and F.Y. Wu
- P4 Pfaffian Solution of a Dimer-Monomer Problem: Single Monomer on the Boundary F.Y. Wu
- P5 Remarks on the Modified Potassium Dihydrogen Phosphate Model of a Ferroelectric F.Y. Wu
- P6 Exact Solution of Close-Packed Dimers on the Kagome Lattice F. Wang and F.Y. Wu
- P7 Exact Solution of a Three-Dimensional Dimer System H.Y.