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Fluctuations, order, and defects

Author: G Mazenko
Publisher: Hoboken, N.J. : Wiley-Interscience, ©2003.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Mazenko, G. (Gene).
Fluctuations, order, and defects.
Hoboken, N.J. : Wiley-Interscience, ©2003
(OCoLC)625581600
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: G Mazenko
ISBN: 0471328405 9780471328407
OCLC Number: 50164764
Description: xvi, 673 pages : illustrations ; 25 cm
Contents: 1. Ordered Phases --
1.1. Overview --
1.2. Order Parameters --
1.3. Symmetry Breaking --
1.4. More Order Parameters --
1.5. Phase Transitions and Breakdown of Translational Invariance --
2. Coarse Graining and Effective Hamiltonians --
2.1. Introduction --
2.2. Effective Hamiltonians --
2.3. Effective Hamiltonian: Multiple Macrovariables --
2.4. Reduced Effective Hamiltonians --
2.5. Square Gradient Correction --
2.6. Effective Hamiltonian in the Energy Representation --
2.7. Mixed Basis Form for the Effective Hamiltonian --
2.8. Simple Fluids --
2.9. Examples of Characteristic Lengths --
2.10. Response Experiments --
3. Coarse Graining, Effective Hamiltonians, and the Renormalization Group --
3.1. Background --
3.2. Coarse-Grained Effective Hamiltonians --
3.3. Landau --
Ginzburg --
Wilson (LGW) Effective Hamiltonian --
3.4. Mean-Field Theory --
3.5. Generalized Equipartition Theorem --
3.6. Example: Scalar Case --
3.7. Renormalization Group Transformation --
3.8. Coarse-Grained Models on Intermediate Length Scales --
4. Critical Phenomena --
4.1. General Phenomenology --
4.2. Critical Indices --
4.3. Landau --
Ginzburg --
Wilson (LGW) Model --
4.4. Role of Fluctuations --
4.5. Renormalization Group (RG) --
5. Nambu-Goldstone Modes --
5.1. Introduction --
5.2. Mean-Field Treatment and Broken Continuous Symmetry --
5.3. Goldstone Theorem --
5.4. Hohenberg --
Mermin --
Wagner Theorem --
5.5. Examples --
5.6. Low-Temperature Quantum-Mechanical Implications --
5.7. Gauge Fields and Higgs Phenomena --
6. Dielectric and Magnetic Materials --
6.1. Overview --
6.2. Dielectric Materials --
6.3. Magnetic Materials --
7. Polymers --
7.1. Flexible Polymer Chains --
7.2. Random-Walk Model --
7.3. Self-Avoiding Walks 7.4. Semidilute Polymer Solutions --
7.5. Polymer Mixtures 7.6. Diblock Copolymers --
8. Neutral Superfluids --
8.1. General Comments --
8.2. Normal Flow --
8.3. Superfluid Flow --
8.4. Quantum-Statistical-Mechanical Treatment of Superflow --
8.5. Interpretation of V[subscript 0] and F[subscript V][subscript s] --
8.6. Superfluid Thermodynamics --
8.7. Superfluid Velocity as a Slow Variable --
8.8. Effective Hamiltonian --
8.9. Flow and the LGW Description --
8.10. Second Sound --
9. Superconductors --
9.1. Ginzburg-Landau Effective Hamiltonian --
9.2. Uniform Solutions and Condensation Energy --
9.3. Fluctuation Effects and Higgs Phenomena --
9.4. Meissner Effect and Penetration Depth --
9.5. Upper Critical Field --
9.6. Upper Critical Current --
9.7. Persistent Currents --
9.8. Dimensionless Variables --
9.9. Surface Energy --
9.10. Normal-Superconducting Transition --
10. Liquid Crystals --
10.1. Complex Systems 10.2. Nematic Liquid Crystals --
10.3. Smectic A Liquid Crystals --
11. Solids --
11.1. Theory of Freezing --
11.2. Density Functional Theory of Freezing --
11.3. Numerical Solution for Face-Centered Cubic (FCC) Lattice --
11.4. Nambu-Goldstone (NG) Modes and Elastic Theory --
12. Defects --
12.1. Overview --
12.2. Scalar Order Parameter Systems and Interfaces --
12.3. Finite-Energy Defects --
12.4. Singularities and Topological Invariants --
12.5. Topological Stability and Escape to a Higher Dimension --
12.6. Vortices in XY Models and Neutral Superfluids --
12.7. Vortices in Superconductors --
12.8. Heisenberg Model --
12.9. Disclinations and Monopoles in Nematic Liquid Crystals --
12.10. Dislocations and Vacancies in Solids --
13. Defects in Equilibrium --
13.1. Defects in Low Dimension --
13.2. Kosterlitz-Thouless Transition in Two-Dimensional Systems --
13.3. Block Copolymer Microphase Separation 13.4. Domains in Ferromagnets --
13.5. Intermediate State for Type I Superconductors --
13.6. Mixed State in Type II Superconductors --
A. Brief Review of Transformation Theory in Thermodynamics --
B. Gaussian Averages --
C. Functional Differentiation and Integration --
D. Quantum-Mechanical Linear Response --
E. Perturbation Theory for Self-Avoiding Walk (SAW) Problem --
F. Monopoles in the n=3 LGW System.
Responsibility: Gene F. Mazenko.
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