Exactly solved models : a journey in statistical mechanics : selected papers with commentaries (1963-2008) / Fa Yueh Wu ; with an introduction by C.N. Yang.

Includes a review of F.Y. Wu's research by Jean-Marie Maillard.

Includes bibliographical references and index.

"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 condensed matter physics to graph theory in mathematics, and includes the author's pioneering contributions. Through insightful commentaries, the author presents an overview of each of the topics and an insider's look at how crucial developments emerged. With the inclusion of important pedagogical review articles by the author, Exactly Solved Models is an indispensable learning tool for graduate students, and an essential reference and source book for researchers in physics and mathematics as well as historians of science"--Publisher's description.

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.

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