close
1.

図書
図書
1. Fluctuations, order, and defects
Gene F. Mazenko
出版情報: Hoboken, N.J. : Wiley-Interscience, c2003  xvi, 673 p. ; 25 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
Ordered Phases / 1：
Overview / 1.1：
Order Parameters / 1.2：
Symmetry Breaking / 1.3：
Ferromagnetic Case / 1.3.1：
Spontaneous Symmetry Breaking / 1.3.2：
General Treatment of Symmetries / 1.3.3：
Heisenberg Model and Rotational Invariance / 1.3.4：
Symmetry Breaking Fields / 1.3.5：
Global Gauge Symmetry / 1.3.6：
Local Gauge Symmetry / 1.3.7：
Reduced Symmetries and Solids / 1.3.8：
More Order Parameters / 1.4：
Heisenberg Magnets / 1.4.1：
Superfluid [superscript 4]He / 1.4.2：
Superconductivity / 1.4.3：
Phase Separation in Binary Alloys / 1.4.4：
Order-Disorder Transitions in Binary Alloys / 1.4.5：
Displacive Transitions / 1.4.6：
Ferroelectric and Antiferroelectric Transitions / 1.4.7：
Potts Models / 1.4.8：
Nematic Liquid Crystals / 1.4.9：
Solids / 1.4.10：
Smectic A Liquid Crystals / 1.4.11：
Liquid-Gas Phase Transition / 1.4.12：
Phase Separation of Binary Fluid Mixtures / 1.4.13：
Polymer Mixtures / 1.4.14：
Block Copolymers / 1.4.15：
Phase Transitions and Breakdown of Translational Invariance / 1.5：
Coarse Graining and Effective Hamiltonians / 2：
Introduction / 2.1：
Effective Hamiltonians / 2.2：
Overview of Calculations of Effective Hamiltonians / 2.2.1：
Coarse Graining in a System with a Single Macrovariable / 2.2.3：
Spatial Correlations and Cell Size / 2.2.4：
Effective Hamiltonian: Multiple Macrovariables / 2.3：
Reduced Effective Hamiltonians / 2.4：
Square Gradient Correction / 2.5：
Effective Hamiltonian in the Energy Representation / 2.6：
Mixed Basis Form for the Effective Hamiltonian / 2.7：
Simple Fluids / 2.8：
Examples of Characteristic Lengths / 2.9：
Correlations in a Low-Density Fluid / 2.9.1：
One-Dimensional Ising Model / 2.9.2：
Response Experiments / 2.10：
Microscopic Formulation / 2.10.1：
Example: Paramagnetic Systems / 2.10.2：
Example: Moving Coordinate Systems / 2.10.3：
Effective Hamiltonian Formulation / 2.10.4：
Coarse Graining, Effective Hamiltonians, and the Renormalization Group / 3：
Background / 3.1：
Coarse-Grained Effective Hamiltonians / 3.2：
Landau-Ginzburg-Wilson (LGW) Effective Hamiltonian / 3.3：
Mean-Field Theory / 3.4：
Generalized Equipartition Theorem / 3.5：
Example: Scalar Case / 3.6：
Renormalization Group Transformation / 3.7：
Coarse-Grained Average / 3.7.1：
Landau-Ginzburg-Wilson Example / 3.7.2：
Rescaling / 3.7.3：
Renormalization Group Specification / 3.7.4：
Fixed Points / 3.7.5：
Long-Range Interactions / 3.7.6：
Coarse-Grained Models on Intermediate Length Scales / 3.8：
Soft-Spin Ising Model / 3.8.1：
Treatment of Interactions / 3.8.2：
Evaluation of Coarse-Grained Entropy for a Fluid / 3.8.3：
Coarse-Grained Entropy for Ising Models / 3.8.4：
Fluid Mixtures / 3.8.5：
Density Functional Theory / 3.8.6：
Critical Phenomena / 4：
General Phenomenology / 4.1：
Critical Indices / 4.2：
Series Expansion Studies / 4.2.1：
Experimental Results / 4.2.2：
Universality / 4.2.3：
The Scaling Hypothesis / 4.2.4：
The Landau-Ginzburg-Wilson (LGW) Model / 4.3：
Coarse Graining / 4.3.1：
Role of Fluctuations / 4.3.2：
The Renormalization Group (RG) / 4.5：
Basic Ideas / 4.5.1：
Renormalization Group (RG) Phenomenology Near a Critical Point / 4.5.2：
The Renormalization Group Near Four Dimensions / 4.5.3：
Scaling and the RG / 4.5.4：
Comments on the [epsilon] Expansion / 4.5.5：
Nambu-Goldstone Modes / 5：
Mean-Field Treatment and Broken Continuous Symmetry / 5.1：
Longitudinal Correlations / 5.2.1：
Symmetry Breaking Field / 5.2.2：
Cubic Symmetry / 5.2.3：
Phase Fields / 5.2.4：
Goldstone Theorem / 5.3：
Hohenberg-Mermin-Wagner Theorem / 5.4：
Examples / 5.5：
Classical Magnets / 5.5.1：
Low-Temperature Quantum-Mechanical Implications / 5.5.2：
General Discussion / 5.6.1：
Nonrelativistic Particles / 5.6.2：
Photons / 5.6.3：
Spin Waves: Ferromagnets / 5.6.4：
Spin Waves: Antiferromagnets / 5.6.5：
Gauge Fields and Higgs Phenomena / 5.7：
Dielectric and Magnetic Materials / 6：
Dielectric Materials / 6.1：
Polarization and Maxwell's Equations / 6.2.1：
Experimental Configurations / 6.2.3：
Independent Variables / 6.2.4：
Variational Problem / 6.2.5：
Dipolar Energy / 6.2.6：
Electrostatics / 6.2.7：
Dielectric Slab / 6.2.8：
Materials Parameters / 6.2.9：
The Functional E[P] / 6.2.10：
Stability / 6.2.11：
Fluctuations / 6.2.12：
Thermodynamics / 6.2.13：
Magnetic Materials / 6.3：
Magnetization and Maxwell's Equations / 6.3.1：
Fixed External Currents / 6.3.3：
Fixed Magnetic Induction / 6.3.4：
Fixed External Field at Infinity / 6.3.5：
Cases with Macroscopically Uniform Internal Fields / 6.3.6：
Exchange Contribution to E[M] / 6.3.11：
Magnetostatic Energy / 6.3.12：
Fluctuation Spectrum / 6.3.13：
Phase Transitions and Ordering / 6.3.14：
Polymers / 6.3.15：
Flexible Polymer Chains / 7.1：
Random-Walk Model / 7.2：
Lattice Formulation / 7.2.1：
Continuum Formulation / 7.2.2：
Density Correlations for Ideal Chains / 7.2.3：
Self-Avoiding Walks / 7.3：
Continuous Formulation / 7.3.1：
Perturbation Theory / 7.3.2：
Flory Theory / 7.3.3：
Semidilute Polymer Solutions / 7.3.4：
Screening / 7.4.1：
Screening and Swelling / 7.4.2：
Diblock Copolymers / 7.5：
Neutral Superfluids / 8：
General Comments / 8.1：
Normal Flow / 8.2：
Superfluid Flow / 8.3：
Quantum-Statistical-Mechanical Treatment of Superflow / 8.4：
Interpretation of V[subscript 0] and F[subscript V subscript s] / 8.5：
Superfluid Thermodynamics / 8.6：
The Superfluid Velocity as a Slow Variable / 8.7：
The Effective Hamiltonian / 8.8：
Flow and the LGW Description / 8.9：
Second Sound / 8.10：
Superconductors / 9：
Ginzburg-Landau Effective Hamiltonian / 9.1：
Uniform Solutions and Condensation Energy / 9.2：
Fluctuation Effects and Higgs Phenomena / 9.3：
Meissner Effect and Penetration Depth / 9.4：
Upper Critical Field / 9.5：
Upper Critical Current / 9.6：
Persistent Currents / 9.7：
Dimensionless Variables / 9.8：
Surface Energy / 9.9：
Normal-Superconducting Transition / 9.10：
Liquid Crystals / 10：
Complex Systems / 10.1：
Order Parameter / 10.2：
Potential Part of the Effective Hamiltonian / 10.2.2：
The Gradient Part of the Effective Hamiltonian / 10.2.3：
Spontaneous Fluctuations / 10.2.4：
Walls and Nonuniform Configurations / 10.2.5：
Magnetic Fields / 10.2.7：
The de Gennes Model / 10.3：
Landau Theory / 10.3.2：
Fluctuations and Order / 10.3.3：
Theory of Freezing / 11：
Density Functional Theory of Freezing / 11.2：
Hard-Sphere Fluids / 11.2.1：
Numerical Solution for Face-Centered Cubic (FCC) Lattice / 11.3：
Nambu--Goldstone (NG) Modes and Elastic Theory / 11.4：
Defects / 12：
Scalar Order Parameter Systems and Interfaces / 12.1：
Mean-Field Solution / 12.2.1：
[Psi superscript 4] Theory / 12.2.2：
Asymmetric Case / 12.2.3：
Polymer Mixture / 12.2.4：
Liquid--Gas Interface / 12.2.5：
Broken Translational Symmetry and the NG Modes / 12.2.6：
Finite-Energy Defects / 12.3：
Singularities and Topological Invariants / 12.4：
Topological Stability and Escape to a Higher Dimension / 12.5：
Vortices in XY Models and Neutral Superfluids / 12.6：
Single-Vortex Solution / 12.6.1：
Energy of an Isolated Vortex / 12.6.2：
Phase Field Approximation and Multiple-Vortex Solutions / 12.6.3：
Vortices in Superconductors / 12.7：
Ginzburg--Landau Treatment / 12.7.1：
London Theory / 12.7.2：
Heisenberg Model / 12.8：
Winding Number for an n = 3 Order Parameter / 12.8.1：
LGW Model / 12.8.2：
Avoiding Derrick's Theorem / 12.8.3：
Disclinations and Monopoles in Nematic Liquid Crystals / 12.9：
Phase Field Approximation / 12.9.1：
Defect Core Considerations / 12.9.3：
Monopoles in a Nematic / 12.9.4：
Strings in a Nematic / 12.9.5：
Dislocations and Vacancies in Solids / 12.10：
Elastic Theory and Defects / 12.10.1：
Straight-Line Screw Dislocation / 12.10.3：
Straight-Line End Dislocation / 12.10.4：
Defects in Equilibrium / 13：
Defects in Low Dimension / 13.1：
Kinks in One Dimension / 13.1.1：
Kosterlitz--Thouless Transition in Two-Dimensional Systems / 13.2：
General Considerations / 13.2.1：
Quasi-Long-Range Order / 13.2.2：
Superfluid Density / 13.2.3：
Two-Dimensional Coulomb Gas / 13.2.4：
RG Treatment of Parameters / 13.2.5：
Order Parameter Correlations / 13.2.6：
Block Copolymer Microphase Separation / 13.3：
Ohta--Kawasaki Effective Hamiltonian / 13.3.1：
Lamellar Structure: Weak Segregation / 13.3.2：
Lamellar Structure: Strong Segregation / 13.3.3：
Two- and Three-Dimensional Structures / 13.3.4：
Domains in Ferromagnets / 13.4：
Domain Wall Solutions / 13.4.1：
Bloch Wall Solution / 13.4.3：
Domain Wall Arrays / 13.4.4：
Intermediate State for Type I Superconductors / 13.5：
Magnetic Field / 13.5.1：
Magnetic Energy / 13.5.2：
Minimum Energy / 13.5.3：
Mixed State in Type II Superconductors / 13.6：
Flux Lattice / 13.6.1：
Brief Review of Transformation Theory in Thermodynamics / A：
General Theory / A.1：
Example of a Simple Fluid / A.2：
Gaussian Averages / B：
Functional Differentiation and Integration / C：
Differentiation / C.1：
Integration / C.2：
Fluctuation Contribution to Free Energy / C.3：
Higher-Order Correlation Functions / C.4：
Parameters for the Effective Hamiltonian / C.5：
Quantum-Mechanical Linear Response / D：
Perturbation Theory for Self-Avoiding Walk (SAW) Problem / E：
Monopoles in the n = 3 LGW System / F：
Index
Preface
Ordered Phases / 1：
Overview / 1.1：
2.

図書
図書
2. Patterns of symmetry breaking
edited by Henryk Arodz, Jacek Dziarmaga and Wojciech Hubert Zurek
出版情報: Dordrecht : Kluwer Academic, c2003  x, 404 p. ; 25 cm
シリーズ名: NATO science series ; Series II, Mathematics, physics, and chemistry ; 127
所蔵情報: loading…
目次情報: 続きを見る
Preface
Symmetry Breaking and Defects / T.W.B. Kibble
Liquid 4He and Its Superfluidity / O.J. Griffiths ; P.C. Hendry ; P.V.E. McClintock ; H.A. Nichol
The Role of Topological Defects in Cosmology / M. Sakellariadou
Cosmic Defects and Particle Physics Constraints / A.C. Davis
Introduction to the Modern Theory of Phase Transitions / J. Sznajd
Defects in Liquid Crystals: Surface and Interfacial Anchoring Effects / O.D. Lavrentovich
Scaling Laws for Fluxon Formation in Annular Josephson Tunnel Junctions / R. Monaco ; R.J. Rivers
Nonholonomic Field Theory of Vortices and Defect and their Phase Transitions / H. Kleinert
Vortices and Flat Directions: the Uses of Bogomolnyi Bounds / A. Achucarro
Evolution of Local Vortices and Interfaces / H. Arodz
Non-Equilibrium Mott Transition in a Lattice of Bose-Einstein Condensates / J. Dziarmaga ; A. Smerzi ; W.H. Zurek ; A.. Bishop
Spontaneous Breakdown of Chiral Symmetry in QCD / M.A. Nowak
Domain Wall Solutions / T. Vachaspati
Phenomenology of Effective Gravity / G.E. Volovik
Preface
Symmetry Breaking and Defects / T.W.B. Kibble
Liquid 4He and Its Superfluidity / O.J. Griffiths ; P.C. Hendry ; P.V.E. McClintock ; H.A. Nichol
3.

図書
図書
3. The random-cluster model
Geoffrey Grimmett
出版情報: Berlin : Springer, c2006  xiii, 377 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 333
所蔵情報: loading…
目次情報: 続きを見る
Random-Cluster Measures / 1：
Introduction / 1.1：
Random-cluster model / 1.2：
Ising and Potts models / 1.3：
Random-cluster and Ising/Potts models coupled / 1.4：
The limit as q [down arrow] 0 / 1.5：
Basic notation / 1.6：
Monotonic Measures / 2：
Stochastic ordering of measures / 2.1：
Positive association / 2.2：
Influence for monotonic measures / 2.3：
Sharp thresholds for increasing events / 2.4：
Exponential steepness / 2.5：
Fundamental Properties / 3：
Conditional probabilities / 3.1：
Differential formulae and sharp thresholds / 3.2：
Comparison inequalities / 3.4：
Partition functions / 3.5：
Domination by the Ising model / 3.7：
Series and parallel laws / 3.8：
Negative association / 3.9：
Infinite-Volume Measures / 4：
Infinite graphs / 4.1：
Boundary conditions / 4.2：
Infinite-volume weak limits / 4.3：
Infinite-volume random-cluster measures / 4.4：
Uniqueness via convexity of pressure / 4.5：
Potts and random-cluster models on infinite graphs / 4.6：
Phase Transition / 5：
The critical point / 5.1：
Percolation probabilities / 5.2：
Uniqueness of random-cluster measures / 5.3：
The subcritical phase / 5.4：
Exponential decay of radius / 5.5：
Exponential decay of volume / 5.6：
The supercritical phase and the Wulff crystal / 5.7：
Uniqueness when q < 1 / 5.8：
In Two Dimensions / 6：
Planar duality / 6.1：
The value of the critical point / 6.2：
First-order phase transition / 6.3：
General lattices in two dimensions / 6.5：
Square, triangular, and hexagonal lattices / 6.6：
Stochastic Lowner evolutions / 6.7：
Duality in Higher Dimensions / 7：
Surfaces and plaquettes / 7.1：
Basic properties of surfaces / 7.2：
A contour representation / 7.3：
Polymer models / 7.4：
Discontinuous phase transition for large q / 7.5：
Dobrushin interfaces / 7.6：
Probabilistic and geometric preliminaries / 7.7：
The law of the interface / 7.8：
Geometry of interfaces / 7.9：
Exponential bounds for group probabilities / 7.10：
Localization of interface / 7.11：
Dynamics of Random-Cluster Models / 8：
Time-evolution of the random-cluster model / 8.1：
Glauber dynamics / 8.2：
Gibbs sampler / 8.3：
Coupling from the past / 8.4：
Swendsen-Wang dynamics / 8.5：
Coupled dynamics on a finite graph / 8.6：
Box dynamics with boundary conditions / 8.7：
Coupled dynamics on the infinite lattice / 8.8：
Simultaneous uniqueness / 8.9：
Flows in Poisson Graphs / 9：
Potts models and flows / 9.1：
Flows in the Ising model / 9.2：
Exponential decay for the Ising model / 9.3：
The Ising model in four and more dimensions / 9.4：
On Other Graphs / 10：
Mean-field theory / 10.1：
On complete graphs / 10.2：
Main results for the complete graph / 10.3：
The fundamental proposition / 10.4：
The size of the largest component / 10.5：
Proofs of main results for complete graphs / 10.6：
The nature of the singularity / 10.7：
Large deviations / 10.8：
On a tree / 10.9：
The critical point for a tree / 10.10：
(Non-)uniqueness of measures on trees / 10.11：
On non-amenable graphs / 10.12：
Graphical Methods for Spin Systems / 11：
Random-cluster representations / 11.1：
The Potts model / 11.2：
The Ashkin-Teller model / 11.3：
The disordered Potts ferromagnet / 11.4：
The Edwards-Anderson spin-glass model / 11.5：
The Widom-Rowlinson lattice gas / 11.6：
The Origins of FK(G) / Appendix：
List of Notation
References
Index
Random-Cluster Measures / 1：
Introduction / 1.1：
Random-cluster model / 1.2：
4.

図書
図書
4. The random-cluster model. 2nd corr. print.
Geoffrey Grimmett
出版情報: Berlin : Springer, 2009  xiii, 378 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 333
所蔵情報: loading…
目次情報: 続きを見る
Random-Cluster Measures / 1：
Introduction / 1.1：
Random-cluster model / 1.2：
Ising and Potts models / 1.3：
Random-cluster and Ising/Potts models coupled / 1.4：
The limit as q [down arrow] 0 / 1.5：
Basic notation / 1.6：
Monotonic Measures / 2：
Stochastic ordering of measures / 2.1：
Positive association / 2.2：
Influence for monotonic measures / 2.3：
Sharp thresholds for increasing events / 2.4：
Exponential steepness / 2.5：
Fundamental Properties / 3：
Conditional probabilities / 3.1：
Differential formulae and sharp thresholds / 3.2：
Comparison inequalities / 3.4：
Partition functions / 3.5：
Domination by the Ising model / 3.7：
Series and parallel laws / 3.8：
Negative association / 3.9：
Infinite-Volume Measures / 4：
Infinite graphs / 4.1：
Boundary conditions / 4.2：
Infinite-volume weak limits / 4.3：
Infinite-volume random-cluster measures / 4.4：
Uniqueness via convexity of pressure / 4.5：
Potts and random-cluster models on infinite graphs / 4.6：
Phase Transition / 5：
The critical point / 5.1：
Percolation probabilities / 5.2：
Uniqueness of random-cluster measures / 5.3：
The subcritical phase / 5.4：
Exponential decay of radius / 5.5：
Exponential decay of volume / 5.6：
The supercritical phase and the Wulff crystal / 5.7：
Uniqueness when q < 1 / 5.8：
In Two Dimensions / 6：
Planar duality / 6.1：
The value of the critical point / 6.2：
First-order phase transition / 6.3：
General lattices in two dimensions / 6.5：
Square, triangular, and hexagonal lattices / 6.6：
Stochastic Lowner evolutions / 6.7：
Duality in Higher Dimensions / 7：
Surfaces and plaquettes / 7.1：
Basic properties of surfaces / 7.2：
A contour representation / 7.3：
Polymer models / 7.4：
Discontinuous phase transition for large q / 7.5：
Dobrushin interfaces / 7.6：
Probabilistic and geometric preliminaries / 7.7：
The law of the interface / 7.8：
Geometry of interfaces / 7.9：
Exponential bounds for group probabilities / 7.10：
Localization of interface / 7.11：
Dynamics of Random-Cluster Models / 8：
Time-evolution of the random-cluster model / 8.1：
Glauber dynamics / 8.2：
Gibbs sampler / 8.3：
Coupling from the past / 8.4：
Swendsen-Wang dynamics / 8.5：
Coupled dynamics on a finite graph / 8.6：
Box dynamics with boundary conditions / 8.7：
Coupled dynamics on the infinite lattice / 8.8：
Simultaneous uniqueness / 8.9：
Flows in Poisson Graphs / 9：
Potts models and flows / 9.1：
Flows in the Ising model / 9.2：
Exponential decay for the Ising model / 9.3：
The Ising model in four and more dimensions / 9.4：
On Other Graphs / 10：
Mean-field theory / 10.1：
On complete graphs / 10.2：
Main results for the complete graph / 10.3：
The fundamental proposition / 10.4：
The size of the largest component / 10.5：
Proofs of main results for complete graphs / 10.6：
The nature of the singularity / 10.7：
Large deviations / 10.8：
On a tree / 10.9：
The critical point for a tree / 10.10：
(Non-)uniqueness of measures on trees / 10.11：
On non-amenable graphs / 10.12：
Graphical Methods for Spin Systems / 11：
Random-cluster representations / 11.1：
The Potts model / 11.2：
The Ashkin-Teller model / 11.3：
The disordered Potts ferromagnet / 11.4：
The Edwards-Anderson spin-glass model / 11.5：
The Widom-Rowlinson lattice gas / 11.6：
The Origins of FK(G) / Appendix：
List of Notation
References
Index
Random-Cluster Measures / 1：
Introduction / 1.1：
Random-cluster model / 1.2：
5.

電子ブック
ＥＢ
5. Nucleation theory and applications (: electronic bk)
edited by Jürn W.P. Schmelzer
出版情報: [S.l.] : Wiley Online Library, [20--]  1 online resource (xvii, 455 p.)
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Solid-Liquid and Liquid-Vapor Phase Transitions: Similarities and Differences
A New Method of Determination of the Coefficients of Emission in Nucleation Theory Nucleation and Crystallization
Kinetics of Silicate Glasses: Theory and Experiment Boiling-Up Kinetics of Solutions of Cryogenic
Liquids Correlated Nucleation and Self-Organized Kinetics of Ferroelectric Domains Nucleation and Growth Kinetics of Nano-Films
Diamonds by Transport Reactions with Vitreous Carbon and from the Plasma Torch: New and Old Methods of Metastable Diamond Synthesis and Growth
Nucleation in Micellization Processes Nucleation in a Concentration Gradient Is Gibbs' Thermodynamic
Theory Really Perfect? Summary and Outlook
Introduction
Solid-Liquid and Liquid-Vapor Phase Transitions: Similarities and Differences
A New Method of Determination of the Coefficients of Emission in Nucleation Theory Nucleation and Crystallization
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼