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El. knyga: Exactly Solved Models: A Journey In Statistical Mechanics - Selected Papers With Commentaries (1963a08)

(Northeastern Univ, Usa)
  • Formatas: 660 pages
  • Išleidimo metai: 03-Mar-2009
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • Kalba: eng
  • ISBN-13: 9789814471220
Kitos knygos pagal šią temą:
Exactly Solved Models: A Journey In Statistical Mechanics - Selected Papers With Commentaries (1963a08)Didesnis paveikslėlis
  • Formatas: 660 pages
  • Išleidimo metai: 03-Mar-2009
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • Kalba: eng
  • ISBN-13: 9789814471220
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Fa Yueh Wu (Northeastern U.) found statistical mechanics at the beginning of his career 40 years ago, and he began a career of multifaceted enduring contributions to the field, which at that time was in a burgeoning stage of development. The field has now branched out to other areas of physics and science, and those seeking a toehold have a harder time. In response to this dilemma, Wu offers graduate students this book with a twofold purpose: it introduces exactly solvable models and their role outside of traditional statistical mechanics, and it collects and organizes by theme some of Wu's pedagogical papers written over the years. He provides commentaries to introduce each topic, which include Dimer statistics, duality and gauge transformations, the Ising model, the Potts model, critical frontiers, percolation, graph theory, and knot invariants. Culminating the book is a contributed chapter reviewing Wu's contributions in lattice statistical mechanics, solid state physics, graph theory, and enumerative combinatorics, among other domains. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)
Introduction v
C. N. Yang
Preface ix
COMMENTARIES
1(580)
Dimer Statistics
Introduction
3(1)
The pfaffian approach
4(1)
The rectangular lattice
5(2)
Rectangular lattice with a boundary vacancy
7(1)
The honeycomb and kagome lattices
8(1)
Solution of a three-dimensional dimer model
8(1)
Remarks
9(1)
References for
Chapter 1
9(2)
The Vertex Model
Introduction
11(1)
The eight-vertex model (rectangular lattice)
12(2)
The five-vertex model (rectangular lattice)
14(1)
The eight-vertex model (honeycomb lattice)
15(1)
Vertex models in higher dimensions
16(1)
Remarks
17(1)
References for
Chapter 2
18(2)
Duality and Gauge Transformations
Introduction
20(1)
Duality relation for the Potts and the chiral Potts models
20(2)
Gauge transformation for the vertex model and syzygies
22(1)
Duality relation for frustrated spin systems
23(1)
Duality relation for potts correlation functions
23(2)
References for
Chapter 3
25(2)
The Ising Model
Introduction
27(1)
Ising representation of the eight-vertex model
27(1)
The Baxter-Wu model
28(1)
Density of Fisher zeroes
28(2)
Solution of the Ising model on nonorientable surfaces
30(1)
Remarks
31(1)
References for
Chapter 4
31(2)
The Potts Model
Introduction
33(1)
Graphical formulation of the Potts model
34(1)
Rigorous determination of the Potts critical point
35(1)
Potts partition function zeroes
36(1)
Remarks
36(1)
References for
Chapter 5
37(1)
Critical Frontiers
Introduction
38(1)
The Potts model
38(1)
The antiferromagnetic Ising model in a magnetic field
39(1)
The Blume-Emery-Griffiths model
40(1)
The Ashkin-Teller model
41(1)
The O(n) model
42(1)
Remarks
43(1)
References for
Chapter 6
43(2)
Percolation
Introduction
45(1)
The random-cluster model and the Potts model
46(1)
Percolation thresholds
47(1)
An infinite-range bond percolation
47(1)
Directed percolation
47(1)
Remarks
48(1)
References for
Chapter 7
49(1)
Graph Theory
Introduction
50(1)
Graphical analyses in many-body theory
50(1)
The Potts model and the Tutte polynomial
51(2)
Random graphs
53(1)
Spanning trees
53(1)
Graphical analysis of lattice models
54(1)
References for chapter 8
55(2)
Knot Invariants
Introduction
57(1)
Lattice models and knot invariants
57(1)
Two new knot invariants
58(1)
Knot invariants from spin models
59(1)
Bracket polynomial and the nonintersecting string model
60(1)
Remarks
61(1)
References for
Chapter 9
62(1)
Other Topics
Theory of electrical circuits
63(2)
Quantization of the orbital angular momentum
65(1)
The vicious neighbor problem
65(1)
Restricted partitions of an integer
66(1)
The Hubbard model
67(1)
Review of a book by Ta-You Wu
68(1)
Eulogy on Shang-Keng Ma
68(1)
Professor C.N. Yang and statistical mechanics
69(1)
References for
Chapter 10
69(16)
Photographs
71(12)
Reprinted Papers
83(2)
REPRINTED PAPERS
Dimer Statistics
85(50)
Exactly Soluble Model of the Ferroelectric Phase Transition in Two Dimensions
87(3)
F.Y. Wu
Dimers on Two-Dimensional Lattices
90(15)
F.Y. Wu
Close-Packed Dimers on Nonorientable Surfaces
105(12)
W.T. Lu
F.Y. Wu
Pfaffian Solution of a Dimer-Monomer Problem: Single Monomer on the Boundary
117(4)
F.Y. Wu
Remarks on the Modified Potassium Dihydrogen Phosphate Model of a Ferroelectric
121(5)
F. Y. Wu
Exact Solution of Close-Packed Dimers on the Kagome Lattice
126(4)
F. Wang
F.Y. Wu
Exact Solution of a Three-Dimensional Dimer System
130(5)
H. Y. Huang
V. Popkov
F.Y. Wu
The Vertex Model
135(66)
General Lattice Model of Phase Transitions
137(11)
C. Fan
F.Y. Wu
Staggered Ice-Rule Model: The Pfaffian Solution
148(10)
F.Y. Wu
K. Y. Lin
Staggered Eight-Vertex Model
158(9)
C.S. Hsue
K. Y. Lin
F. Y. Wu
The Odd Eight-Vertex Model
167(12)
F.Y. Wu
H. Kunz
Eight-Vertex Model on the Honeycomb Lattice
179(5)
F.Y. Wu
Eight-Vertex Model and Ising Model in a Non-zero Magnetic Field: Honeycomb Lattice
184(4)
F.Y. Wu
Phase Transition in a Vertex Model in Three Dimensions
188(4)
F.Y. Wu
Exact Solution of a Vertex Model in d Dimensions
192(9)
F.Y. Wu
H. Y. Huang
Duality and Gauge Transformations
201(34)
Duality Transformation in a Many-Component Spin Model
203(2)
F.Y. Wu
Y. K. Wang
Duality Properties of a General Vertex Model
205(6)
X. N. Wu
F.Y. Wu
Algebraic Invariants of the O(2) Gauge Transformation
211(5)
J. H. H. Perk
F. Y. Wu
X. N. Wu
The O(3) Gauge Transformation and 3-state Vertex Models
216(5)
L. H. Gwa
F. Y. Wu
Duality Relation for Frustrated Spin Models
221(5)
D. H. Lee
F. Y. Wu
Duality Relations for Potts Correlation Functions
226(5)
F. Y. Wu
Sum Rule Identities and the Duality Relation for the Potts n-Point Boundary Correlation Function
231(4)
F. Y. Wu
H. Y. Huang
The Ising Model
235(36)
Ising Model with Four-Spin Interactions
237(3)
F. Y. Wu
Exact Solution of an Ising Model with Three-spin Interactions on a Triangular Lattice
240(4)
R. J. Baxter
F. Y. Wu
Density of the Fisher Zeroes for the Ising Model
244(18)
W. T. Lu
F. Y. Wu
Ising Model on Nonorientable Surfaces: Exact Solution for the Mobius Strip and the Klein Bottle
262(9)
W. T. Lu
F. Y. Wu
The Potts Model
271(66)
Equivalence of the Potts Model or Whitney Polynomial with an Ice-Type Model
273(10)
R. J. Baxter
S. B. Kelland
F. Y. Wu
The Potts Model
283(34)
F. Y. Wu
Potts Model of Magnetism (Invited)
317(5)
F. Y. Wu
Exact Results for the Potts Model in Two Dimensions
322(10)
A. Hintermann
H. Kunz
F. Y. Wu
Partition Function Zeros of the Square Lattice Potts Model
332(5)
C. N. Chen
C. K. Hu
F. Y. Wu
Critical Frontiers
337(24)
Critical Point of Planar Potts Models
339(6)
F. Y. Wu
New Critical Frontiers for the Potts and Percolation Models
345(4)
F.Y. Wu
Critical Frontier of the Antiferromagnetic Ising Model in a Magnetic Field: The Honeycomb Lattice
349(4)
F. Y. Wu
X. N. Wu
H. W. J. Blote
Critical Surface of the Blume-Emery-Griffiths Model on the Honeycomb Lattice
353(3)
L. H. Gwa
F. Y. Wu
Two Phase Transitions in the Ashkin-Teller Model
356(5)
F. Y. Wu
K. Y. Lin
Percolation
361(16)
Percolation and the Potts Model
363(9)
F. Y. Wu
An Infinite-Range Bond Percolation
372(1)
F. Y. Wu
Domany-Kinzel Model of Directed Percolation: Formulation as a Random-Walk Problem and Some Exact Results
373(4)
F. Y. Wu
H. E. Stanley
Graph Theory
377(70)
Cluster Development in an N-Body Problem
379(6)
F. Y. Wu
Potts Model and Graph Theory
385(14)
F. Y. Wu
On the Rooted Tutte Polynomial
399(12)
F. Y. Wu
C. King
W. T. Lu
Random Graphs and Network Communication
411(4)
F. Y. Wu
Spanning Trees on Hypercubic Lattices and Nonorientable Surfaces
415(7)
W. J. Tzeng
F. Y. Wu
On the Triangular Potts Model with Two-and Three-Site Interactions
422(8)
F. Y. Wu
K. Y. Lin
Nonintersecting String Model and Graphical Approach: Equivalence with a Potts Model
430(17)
F. Y. Wu
J. H. H. Perk
Knot Invariants
447(40)
Knot Theory and Statistical Mechanics
449(33)
F. Y. Wu
New Link Invariant from the Chiral Potts Model
482(5)
F. Y. Wu
P. Pant
C. King
Other Topics
487(94)
Theory of Resistor Networks: The Two-Point Resistance
489(21)
F. Y. Wu
On the Eigenvalues of Orbital Angular Momentum
510(3)
D. M. Kaplan
F. Y. Wu
The Vicious Neighbour Problem
513(8)
R. Tao
F.Y. Wu
Directed Compact Lattice Animals, Restricted Partitions of an Integer, and the Infinite-State Potts Model
521(4)
F. Y. Wu
G. Rollet
H. Y. Huang
J. -M. Maillard
C. K. Hu
C. N. Chen
The Infinite-State Potts Model and Solid Partitions of an Integer
525(6)
H. Y. Huang
F. Y. Wu
Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
531(4)
E. H. Lieb
F. Y. Wu
The One-Dimensional Hubbard Model: A Reminiscence
535(27)
E. H. Lieb
F. Y. Wu
Book Review: Lectures on the Kinetic Theory of Gases, Non-Equilibrium Thermodynamics and Statistical Theories
562(4)
A. Widom
F. Y. Wu
In Memorial of Sheng-Keng Ma
566(3)
F. Y. Wu
Professor C. N. Yang and Statistical Mechanics
569(12)
F. Y. Wu
Appendix 581(2)
Research Summary A Challenge in Enumerative Combinatorics 583(52)
Fa-Yueh Wu
F. Y. Wu
J.-M. Maillard
Vita 635(4)
Fa-Yueh Wu
Index of Names in the Commentaries 639
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