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1.

図書
図書
1. Thermodynamics and statistical mechanics
John M. Seddon & Julian D. Gale
出版情報: Cambridge : Royal Society of Chemistry, c2001  viii, 161 p. ; 25 cm
シリーズ名: Tutorial chemistry texts ; 10
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Introduction / 1：
The Laws of Thermodynamics / 1.1：
Definitions / 1.2：
Exothermic and Endothermic Processes / 1.3：
The First Law / 2：
Internal Energy / 2.1：
Heat / 2.2：
Work / 2.3：
Heat Capacity, Enthalpy and Thermochemistry / 3：
Heat Capacity, C / 3.1：
Enthalpy / 3.2：
Thermochemistry / 3.3：
Reaction Enthalpy and Hess's Law / 3.4：
Temperature Dependence of Enthalpy Changes / 3.5：
The Second and Third Laws: Entropy / 4：
Spontaneous Processes / 4.1：
The Clausius Inequality / 4.2：
Temperature Dependence of the Entropy, S / 4.3：
Free Energy / 5：
Gibbs and Helmholtz Free Energy / 5.1：
Maximum Work / 5.2：
Pressure and Temperature Dependence of G / 5.3：
Phase Transitions / 6：
Stability of Phases / 6.1：
Effect of Pressure on the Boiling Point / 6.2：
Phase Diagrams / 6.3：
Clapeyron Equation / 6.4：
Clausius-Clapeyron Equation / 6.5：
Gibbs Free Energy and Chemical Potential / 6.6：
Chemical Equilibrium / 7：
Extent of Reaction and the Reaction Gibbs Free Energy / 7.1：
The Equilibrium Constant / 7.2：
Temperature Dependence of the Equilibrium Constant / 7.3：
Effect of Pressure on Equilibrium / 7.4：
Le Chatelier's Principle / 7.5：
The Statistical Definition of Entropy / 8：
Statistical Entropy / 8.1：
Microstates / 8.2：
Calculating the Entropy / 8.3：
Connecting Microscopic and Macroscopic Properties / 9：
Ensembles / 9.1：
Ensemble Averages / 9.2：
What is the Preferred State of a System? / 9.3：
The Boltzmann Distribution / 9.4：
The Partition Function / 10：
Definition of the Partition Function / 10.1：
The Internal Energy / 10.2：
The Helmholtz Free Energy / 10.3：
The Entropy / 10.4：
The Pressure / 10.5：
The Isochoric Heat Capacity / 10.6：
An Ideal Gas of Atoms / 11：
The Ideal Gas / 11.1：
The Molecular Partition Function / 11.2：
The Translational Partition Function / 11.3：
The Internal Energy of a Monatomic Ideal Gas / 11.4：
The Heat Capacity of a Monatomic Ideal Gas / 11.5：
The Pressure of a Monatomic Ideal Gas / 11.6：
The Entropy of a Monatomic Ideal Gas / 11.7：
An Ideal Gas of Diatomic Molecules / 12：
The Rotational Partition Function / 12.1：
Rotation and Symmetry / 12.2：
The Properties of a Rigid Rotor / 12.3：
The Harmonic Oscillator / 12.4：
Thermodynamic Properties of the Harmonic Oscillator / 12.5：
The Electronic Partition Function / 12.6：
Statistical Mechanics and Equilibrium / 13：
Thermodynamics of Gaseous Molecules / 13.1：
The Gibbs Free Energy / 13.2：
The Standard Gibbs Free Energy / 13.3：
The Equilibrium Constant, K[subscript p] / 13.4：
Glossary
Answers to Problems
Subject Index
Introduction / 1：
The Laws of Thermodynamics / 1.1：
Definitions / 1.2：
2.

図書
図書
2. Mathematical foundations of classical statistical mechanics : continuous systems. 2nd ed.
D.Ya. Petrina, V.I. Gerasimenko and P.V. Malyshev ; translated from the Russian by P.V. Malyshev and D.V. Malyshev
出版情報: London : Taylor & Francis, 2002  ix, 338 p. ; 24 cm
シリーズ名: Advanced studies in contemporary mathematics ; v. 8
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Problem for the BBGKY Hierarchy
Equilibrium States
Canonical Ensemble
Grand Canonical Ensemble
Thermodynamic Limit for Non-equilibrium Systems
Stationary Solutions of the BBGKY Hierarchy of Equations / Appendix 1：
Existence of the Hamiltonian Dynamics of Infinitely Many Particles / Appendix 2：
References
Index
Problem for the BBGKY Hierarchy
Equilibrium States
Canonical Ensemble
3.

図書
図書
3. Fluctuations, order, and defects
Gene F. Mazenko
出版情報: Hoboken, N.J. : Wiley-Interscience, c2003  xvi, 673 p. ; 25 cm
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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：
4.

図書
図書
4. An introduction to thermal physics (international ed)
Daniel V. Schroeder
出版情報: San Francisco, CA : Addison Wesley, c2000  x, 422 p. ; 24 cm
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Fundamentals / I：
Energy in Thermal Physics / 1：
The Second Law / 2：
Interactions and Implications / 3：
Thermodynamics / II：
Engines and Refrigerators / 4：
Free Energy and Chemical Thermodynamics / 5：
Statistical Mechanics / III：
Boltzmann Statistics / 6：
Quantum Statistics / 7：
Systems of Interacting Particles / 8：
Elements of Quantum Mechanics / Appendix A：
Mathematical Results / Appendix B：
Reference Data
Suggested Reading
Fundamentals / I：
Energy in Thermal Physics / 1：
The Second Law / 2：
5.

図書
図書
5. Computational biology : a statistical mechanics perspective
Ralf Blossey
出版情報: Boca Raton : Chapman & Hall/CRC, 2006  251 p., 8 p. of plates ; 25 cm
シリーズ名: Chapman and Hall/CRC mathematical & computational biology series / series editors Alison M. Etheridge ... [et al.]
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Statistical Mechanics / I：
Equilibrium Statistical Mechanics / 1：
Z: The partition function / 1.1：
Relation to thermodynamics / 1.2：
Computing Z / 1.3：
Nonequilibrium Statistical Mechanics / 2：
Stochastic processes / 2.1：
The master equation / 2.2：
Fluctuation theorems / 2.3：
The Fokker-Planck and Langevin equations / 2.4：
Sequence alignment: a nonequilibrium phase transition / 2.5：
Biomolecules / II：
Molecules, Code and Representation
DNA and RNA: the building blocks
Representing RNA structure
Proteins
DNA
Thermal stability of DNA: the melting transition
The melting profiles of genomic DNA and cDNA
Hybridizing DNA
RNA / 3：
Computing RNA secondary structure: combinatorics / 3.1：
The RNA partition function / 3.2：
RNA phase behaviour and folding kinetics / 3.3：
Proteins: folding / 4：
Proteins: docking / 4.2：
Electrostatics / 4.3：
Chromatin / 4.4：
Bacterial chemotaxis: cooperativity once more / 4.5：
Networks / III：
Network Dynamics I: Deterministic
Deterministic dynamics: [lambda]-repressor expression
The Turing insight
The Min system
Network Dynamics II: Fluctuations
Noise in signalling
Stochastic cascades
Stochastic focusing
Fluctuating gene network dynamics
Extrinsic vs. intrinsic noise
Networks: Structure
Networks as graphs
Probability generating functions and network characteristics
Statistical mechanics of networks
Network growth / 3.4：
Index
Statistical Mechanics / I：
Equilibrium Statistical Mechanics / 1：
Z: The partition function / 1.1：
6.

図書
図書
6. Thermodynamic formalism : the mathematical structures of equilibrium statistical mechanics. 2nd ed
David Ruelle
出版情報: Cambridge : Cambridge University Press, 2004  xx, 174 p. ; 23 cm
シリーズ名: Cambridge mathematical library
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Introduction to the 2nd edition / 1：
Introduction / 2：
Theory of Gibbs States / 3：
Gibbs States: complements / 4：
Translation invariance: theory of equilibrium states / 5：
Connection between Gibbs States and equilibrium / 6：
One-dimensional systems / 7：
Extension of the thermodynamic formalism / 8：
Miscellaneous definitions and results / Appendix A.1：
Topological dynamics / Appendix A.2：
Convexity / Appendix A.3：
Measures and abstract dynamical systems / Appendix A.4：
Integral representations on convex compact sets / Appendix A.5：
Open problems / Appendix B：
Flows / Appendix C：
Update of open problems / Appendix D：
Introduction to the 2nd edition / 1：
Introduction / 2：
Theory of Gibbs States / 3：
7.

図書
図書
7. Statistical mechanics
Scott Sheffield, Thomas Spencer, editors
出版情報: Providence, R.I. : American Mathematical Society , [Princeton, N.J.] : Institute for Advanced Study, c2009  xii, 360 p. ; 27 cm
シリーズ名: IAS/Park City mathematics series / [Dan Freed, series editor] ; v. 16
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Lectures on the renormalisation group / D. C. Brydges
Statistical mechanics and random matrices / A. Guionnet
Lectures on dimers / R. Kenyon
Schramm-Loewner evolution $(SLE)$ / G. Lawler
Lectures on two-dimensional critical percolation / W. Werner
Lectures on the renormalisation group / D. C. Brydges
Statistical mechanics and random matrices / A. Guionnet
Lectures on dimers / R. Kenyon
8.

図書
図書
8. Statistical mechanics of polymers : new developments : selected contributions from the conference in Moscow (Russia), June 6-11, 2006
symposium editors: K. Binder, A.R. Khokhlov, S.L. Kuchanov
出版情報: Weinheim, Germany : WILEY-VCH, c2007  x, 154 p. ; 24cm
シリーズ名: Macromolecular symposia ; 252
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9.

図書
図書
9. Introduction to nonextensive statistical mechanics : approaching a complex world (: hbk)
Constantino Tsallis
出版情報: New York : Springer, c2009  xviii, 382 p. ; 25 cm
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Basics or How the Theory Works / Part I：
Historical Background and Physical Motivations / 1：
Introduction / 1.1：
Background and Indications in the Literature / 1.2：
Symmetry, Energy, and Entropy / 1.3：
A Few Words on the Foundations of Statistical Mechanics / 1.4：
Learning with Boltzmann-Gibbs Statistical Mechanics / 2：
Boltzmann-Gibbs Entropy / 2.1：
Entropic Forms / 2.1.1：
Properties / 2.1.2：
Kullback-Leibler Relative Entropy / 2.2：
Constraints and Entropy Optimization / 2.3：
Imposing the Mean Value of the Variable / 2.3.1：
Imposing the Mean Value of the Squared Variable / 2.3.2：
Imposing the Mean Values of both the Variable and Its Square / 2.3.3：
Others / 2.3.4：
Boltzmann-Gibbs Statistical Mechanics and Thermodynamics / 2.4：
Isolated System - Microcanonical Ensemble / 2.4.1：
In the Presence of a Thermostat - Canonical Ensemble / 2.4.2：
Generalizing What We Learnt: Nonextensive Statistical Mechanics / 2.4.3：
Playing with Differential Equations - A Metaphor / 3.1：
Nonadditive Entropy Sq / 3.2：
Definition / 3.2.1：
Correlations, Occupancy of Phase-Space, and Extensivity of Sq / 3.2.2：
A Remark on the Thermodynamical Limit / 3.3.1：
The q-Product / 3.3.2：
The q-Sum / 3.3.3：
Extensivity of Sq - Effective Number of States / 3.3.4：
Extensivity of Sq - Binary Systems / 3.3.5：
Extensivity of Sq - Physical Realizations / 3.3.6：
q-Generalization of the Kullback-Leibler Relative Entropy / 3.4：
Nonextensive Statistical Mechanics and Thermodynamics / 3.5：
About the Escort Distribution and the q-Expectation Values / 3.7：
About Universal Constants in Physics / 3.8：
Various Other Entropic Forms / 3.9：
Foundations or Why the Theory Works / Part II：
Stochastic Dynamical Foundations of Nonextensive Statistical Mechanics / 4：
Normal Diffusion / 4.1：
Lévy Anomalous Diffusion / 4.3：
Correlated Anomalous Diffusion / 4.4：
Further Generalizing the Fokker-Planck Equation / 4.4.1：
Stable Solutions of Fokker-Planck-Like Equations / 4.5：
Probabilistic Models with Correlations - Numerical and Analytical Approaches / 4.6：
The MTG Model and Its Numerical Approach / 4.6.1：
The TMNT Model and Its Numerical Approach / 4.6.2：
Analytical Approach of the MTG and TMNT Models / 4.6.3：
The RSTI Model and Its Analytical Approach / 4.6.4：
The RST2 Model and Its Numerical Approach / 4.6.5：
Central Limit Theorems / 4.7：
Generalizing the Langevin Equation / 4.8：
Time-Dependent Ginzburg-Landau d-Dimensional O(n) Ferromagnet with n = d / 4.9：
Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics / 5：
Low-Dimensional Dissipative Maps / 5.1：
One-Dimensional Dissipative Maps / 5.1.1：
Two-Dimensional Dissipative Maps / 5.1.2：
Low-Dimensional Conserative Maps / 5.2：
Strongly Chaotic Two-Dimensional Conservative Maps / 5.2.1：
Strongly Chaotic Four-Dimensional Conservative Maps / 5.2.2：
Weakly Chaotic Two-Dimensional Conservative Maps / 5.2.3：
High-Dimensional Conservative Maps / 5.3：
Many-Body Long-Range-Interacting Hamiltonian Systems / 5.4：
Metastability, Nonergodicity, and Distribution of Velocities / 5.4.1：
Lyapunov Spectrum / 5.4.2：
Aging and Anomalous Diffusion / 5.4.3：
Connection with Glassy Systems / 5.4.4：
The q-Triplet / 5.5：
Connection with Critical Phenomena / 5.6：
A Conjecture on the Time and Size Dependences of Entropy / 5.7：
Generalizing Nonextensive Statistical Mechanics / 6：
Crossover Statistics / 6.1：
Further Generalizing / 6.2：
Spectral Statistics / 6.2.1：
Beck-Cohen Superstatistics / 6.2.2：
Applications or What for the Theory Works / Part III：
Thermodynamical and Nonthermodynamical Applications / 7：
Physics / 7.1：
Cold Atoms in Optical Lattices / 7.1.1：
High-Energy Physics / 7.1.2：
Turbulence / 7.1.3：
Fingering / 7.1.4：
Granular Matter / 7.1.5：
Condensed Matter Physics / 7.1.6：
Plasma / 7.1.7：
Astrophysics / 7.1.8：
Geophysics / 7.1.9：
Quantum Chaos / 7.1.10：
Quantum Entanglement / 7.1.11：
Random Matrices / 7.1.12：
Chemistry / 7.2：
Generalized Arrhenius Law and Anomalous Diffusion / 7.2.1：
Lattice Lotka-Volterra Model for Chemical Reactions and Growth / 7.2.2：
Re-Association in Folded Proteins / 7.2.3：
Ground State Energy of the Chemical Elements (Mendeleev's Table) and of Doped Fullerenes / 7.2.4：
Economics / 7.3：
Computer Sciences / 7.4：
Optimization Algorithms / 7.4.1：
Analysis of Time Series and Signals / 7.4.2：
Analysis of Images / 7.4.3：
PING Internet Experiment / 7.4.4：
Biosciences / 7.5：
Cellular Automata / 7.6：
Self-Organized Criticality / 7.7：
Scale-Free Networks / 7.8：
The Natal Model / 7.8.1：
Albert-Barabasi Model / 7.8.2：
Non-Growing Model / 7.8.3：
Lennard-Jones Cluster / 7.8.4：
Linguistics / 7.9：
Other Sciences / 7.10：
Last (But Not Least) / Part IV：
Final Comments and Perspectives / 8：
Falsifiable Predictions and Conjectures, and Their Verifications / 8.1：
Frequently Asked Questions / 8.2：
Open Questions / 8.3：
Useful Mathematical Formulae / Appendix A：
Escort Distributions and q-Expectation Values / Appendix B：
First Example / B.1：
Second Example / B.2：
Remarks / B.3：
Bibliography
Index
Basics or How the Theory Works / Part I：
Historical Background and Physical Motivations / 1：
Introduction / 1.1：
10.

電子ブック
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10. Statistical physics of spin glasses and information processing : an introduction ((ebook) :)
Hidetoshi Nishimori
出版情報: Oxford : Oxford University Press, 2001  1 online resource (xii, 243 p.)
シリーズ名: The international series of monographs on physics ; 111
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