search for books and compare prices
Tables of Contents for Statistical Physics
Chapter/Section Title
Page #
Page Count
Introduction
xi
I Fundamentals of Statistical Physics
1
68
The Lectures --- A Survey
3
8
The Journey: Many Different Approaches
3
2
The Main Sights
5
4
Is the Trip Worthwhile?
9
2
One Particle and Many
11
18
Formulation
11
1
The Ising Model
12
1
N Independent Particles --- Quantum Description
13
2
Averages From Derivatives
15
2
N Independent Particles in a Box
17
3
Fluctuations Big and Small
20
1
The Problems of Statistical Physics
21
8
Gaussian Distributions
29
16
Introduction
29
1
One Variable
29
2
Many Gaussian Variables
31
2
Lattice Green Function
33
2
Gaussian Random Functions
35
1
Central Limit Theorem
35
1
Distribution of Energies
36
2
Large Deviations
38
3
On Almost Gaussian Integrals
41
1
Three Versions of Gaussian Problems
42
3
Quantum Mechanics and Lattices
45
24
All of Quantum Mechanics in One Brief Section
45
1
From d = 1 Models to Quantum Mechanics
46
2
An Example: The Linear Ising Chain
48
3
One-Dimensional Gaussian Model
51
5
Coherence Length
56
1
Operator Averages
57
2
Correlation Functions
59
1
Ising Correlations
60
4
Two-Dimensional Ising Model
64
5
II Random Dynamics
69
100
Diffusion and Hopping
71
48
Random Walk on a Lattice
71
2
Formulating This Problem
73
3
The Diffusion of Probability and Particles
76
3
From Conservation to Hydrodynamic Equations
79
4
Distribution Functions
83
1
Cascade Processes and Securities Prices
84
7
Reprints on Dynamics
91
28
Forest and Witten: Smoke Particle Aggregates
92
9
Witten and Sander: Diffusion Limited Aggregation
101
4
Kadanoff: Chaos and Complexity
105
14
From Hops to Statistical Mechanics
119
36
Random Walk in Momentum
120
3
The Diffusion Equation Again
123
1
Time Dependence of Probability
124
2
Time Dependence in Deterministic Case
126
2
Equilibrium Solutions
128
3
Back to Collisions
131
2
From Fokker--Planck to Equilibrium
133
2
Properties of Fokker--Planck Equation
135
3
Reprints on Organization
138
17
Phase Organization
139
4
Chao Tang et al.
Self-Organized Criticality
143
4
Bak et al.
Singular Diffusion
147
4
Carlson et al.
Experimental Studies
151
4
Jaeger et al.
Correlations and Response
155
14
Time Independent Response
155
3
Hamiltonian Time-Dependence
158
3
Sum Rules
161
2
Non-Interacting Particles
163
1
Plasma Behavior
164
5
III More Statistical Mechanics
169
38
Statistical Thermodynamics
171
16
The Chemical Potential Defined
171
2
Barometer Formula
173
1
Sharing Energy
174
5
Ensemble Theory
179
3
Temperatures and Energy Flow
182
5
Fermi, Bose, and Other
187
20
Quantum Formulation
187
1
Statistical Mechanics of Non-Interacting Degenerate Particles
188
3
The Non-Degenerate Limit
191
1
Degenerate Fermions
192
4
Degenerate Bosons I. Photons and Phonons
196
2
Degenerate Bosons II. One-Dimensional Phonons
198
3
Degenerate Bosons III. Bose Phase Transition
201
2
Entropies
203
4
IV Phase Transitions
207
272
Overview of Phase Transitions
209
16
Thermodynamic Phases
209
1
Phase Transitions
210
1
Two Kinds of Transitions
211
3
Back to the Ising Model
214
1
Mean Field Theory of Magnets
215
1
The Phases
216
2
Low Temperature Result
218
1
Free Energy Selection Argument
219
2
Behaviors of Different Phases
221
4
Mean Field Theory of Critical Behavior
225
22
The Infinite Range Model
226
1
Mean Field Theory Near the Critical Point
227
3
Critical Indices
230
1
Scaling Function for Magnetization
231
1
Spatial Correlations
232
6
Analyticity
238
1
Mean Field Theory for the Free Energy
239
3
When Mean Field Theory Fails
242
5
Continuous Phase Transitions
247
32
Historical Background
247
1
Widom Scaling Theory
248
4
The Ising Model: Rescaled
252
5
Fixed Points
257
1
Phenomenology of Scaling Fields
258
1
Theory of Scaling Fields
259
3
Scaling Relations for Operators
262
4
Transforming Operators
266
1
Universality
266
1
Operator Product Expansions
267
1
Reprints on Critical Correlations
268
11
Kadanoff: Correlations Along a Line
269
5
Kadanoff-Wegner: Marginal Behavior
274
5
Renormalization in One Dimension
279
12
Introduction
279
1
Decimation
279
1
The Ising Example
280
1
Phase Diagrams, Flow Diagrams, and the Coherence Length
281
2
The Gaussian Model
283
1
Analysis of Recursion Relation
284
1
Fixed Point Analysis for the Gaussian Model
285
3
Two-Dimensional Ising Model
288
3
Real Space Renormalization Techniques
291
68
Introduction
291
1
Decimation: An Exact Calculation
292
2
The Method of Neglect
294
1
Potential Moving
295
3
Further Work
298
1
Reprints on Real Space RG
298
61
Triangular Lattice R.G.
299
4
Niemeijer
van Leeuwen
David Nelson's Early Summary
303
5
Kadanoff: Bond-moving, and a Variational Method
308
4
Kadanoff: Migdal's Simple and Versatile Method
312
36
Migdal's Original Papers
348
11
Duality
359
18
Doing Sums
359
2
Two Dimensions
361
2
Direct Coupling and Dual Coupling
363
2
Two-Dimensional Calculation
365
3
Ising Model
368
1
XY is Connected to SOS
369
2
Gaussian goes into Gaussian
371
1
Dual Correlations
371
6
Planar Model and Coulomb Systems
377
22
Why Study a Planar Model?
377
2
One-Dimensional Case
379
1
Phases of the Planar Model
380
2
The Gaussian Approximation
382
4
Two-Dimensional Coulomb Systems
386
1
Multipole Expansion
387
3
Reprint on Spin Waves
390
9
An Overview of Problems with Continuous Symmetry
391
8
V. L. Berezinskii
XY Model, Renormalization, and Duality
399
80
Plan of Action
399
1
Villain Representation of the Basic Bonds
400
1
Duality Transformation
401
1
Two Limits
402
1
Vortex Representation
403
2
The Magnetically Charged System
405
3
Correlation Calculation
408
1
The Renormalization Calculation
409
2
Spatial Averages
411
2
The Actual Renormalization
413
2
Reprints on Planar Model
415
64
The Kosterlitz--Thouless Theory
416
23
Kosterlitz: On Renormalization of the Planar Model
439
15
Renormalization and Vortices
454
25
Jorge V. Jose
Leo P. Kadanoff
Scott Kirkpatrick
David R. Nelson
Index
479