Basic statistical physics

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Basic statistical physics / Nandita Rudra, P. Rudra

資料種別:

図書

出版情報:

Hackensack : World Scientific, c2010

形態:

xvii, 229 p. ; 24 cm

著者名:

ISBN:

9789814293259 [9814293253]

書誌ID:

BB01905191

子書誌情報

フルテキスト

所蔵情報

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書誌詳細

注記:

Includes bibliographical references and index

主題:

Statistical physics

言語:

英語

目次情報:

Preface

Notations and Fundamental Constants

Basic Concepts / 1：

Introduction / 1.1：

Master Equation and Hypothesis of Equal á-priori Probability / 1.2：

Example of 3 Level Systems / 1.2.1：

Phase Space, Phase Point, Phase Trajectory / 1.3：

Statistical Distribution Function and Ergodic Hypothesis / 1.4：

Statistical Fluctuation and Statistical Independence / 1.5：

Statistical Fluctuation and Generalized Susceptibility / 1.6：

Generalized Ornstein-Zernicke Relation / 1.7：

Problems / 1.8：

Motion of Systems in Phase Space / 2：

Integral Invariants / 2.1：

Classical Liouville's Equation / 2.2：

Role of Energy / 2.3：

Quantum Mechanical Density Matrix / 2.4：

Quantum Liouville's Equation / 2.5：

States in Statistical Physics / 2.6：

Microscopic and Macroscopic States / 3.1：

Statistical Weight and Density of States / 3.2：

Examples: Non-interacting One- and N-Particle Systems and Spin-1/2 Particles / 3.3：

Entropy and Boltzmann's Principle / 3.4：

Boltzmann's H-Theorem / 3.5：

Statistical Ensembles / 3.6：

Microcanonical Distribution Function / 4.1：

Canonical (Gibbs) Distribution Function / 4.3：

Thermodynamic Temperature and Distribution Function / 4.3.1：

Spin-1/2 Particles and Negative Temperature / 4.3.2：

Partition Function and Different Thermodynamic Functions / 4.3.3：

System of Linear Harmonic Oscillators in Canonical Ensemble / 4.3.4：

Energy Fluctuation in Canonical Ensemble and Equivalence of Canonical and Microcanonical Ensembles / 4.3.5：

Grandcanonical Distribution Function / 4.4：

Dependence of Thermodynamic Functions on Number of Particles / 4.4.1：

Chemical Potential and Distribution Function / 4.4.2：

Density Fluctuation in Grandcanonical Ensemble and Equivalence of Grandcanonical and Canonical Ensembles / 4.4.3：

Ideal Gas / 4.5：

Boltzmann Distribution / 5.1：

Partition Function, Free Energy and Equation of State / 5.2：

Specific Heat: Translational, Vibrational and Rotational Components / 5.3：

Degeneracy Temperature / 5.4：

Chemical Reaction Equilibrium / 5.5：

Conditions of Chemical Equilibrum / 6.1：

Law of Mass Action / 6.2：

Heat of Reaction and Direction of Reaction / 6.3：

Ionization Equilibrium / 6.4：

Saha Formula / 6.5：

Real Gas / 6.6：

Free Energy, Virial Equation of State / 7.1：

Second Virial Coefficient and Applicability of Virial Equation / 7.2：

Model Calculation and van-der-Waal's Equation of State / 7.3：

Joule-Thomson Expansion and Inversion Temperature / 7.4：

Strong Electrolytes / 7.5：

Debye-Hückel Approximation, Debye Length / 8.1：

Screened Coulomb Potential / 8.2：

Equation of State and Osmotic Pressure / 8.3：

Quantum Statistics / 8.4：

Bose and Fermi Distributions / 9.1：

Quantum Gases of Elementary Particles: Number Density and Chemical Potential, Energy Density, Equation of State / 9.2：

Black Body Radiation and Planck's Law / 9.3：

Lattice Specific Heat and Phonons / 9.4：

Degenerate Bose Gas, Bose Condensation / 9.5：

Liquid He and Superfluidity / 9.6：

Systematics of Liquid ⁴He / 9.6.1：

Landau's 2-Fluid Model / 9.6.2：

Systematics of Liquid ³He / 9.6.3：

Degenerate Fermi Gas, Degeneracy Pressure, Specific Heat / 9.7：

Magnetism of Free Fermions / 9.8：

Preamble / 9.8.1：

Landau Diamagnetism / 9.8.2：

Pauli Paramagnetism / 9.8.3：

Interacting Fermi System: Fermi Liquid Theory / 9.9：

Relativistic Degenerate Fermi Gas / 9.10：

Bose-Einstein Condensate / 9.11：

Trapping of Atoms / 10.1：

Cooling of Atoms / 10.3：

Statistical Astrophysics / 10.4：

Stars: Stability and Evolution / 11.1：

High Temperature Dense Matter / 11.3：

Neutron Stars and Black Holes / 11.4：

Phase Transitions / 11.5：

Systematics of Phase Transitions / 12.1：

Ehrenfest's Classification of Phase Transitions / 12.2：

Order Parameter, Continuous and Discontinuous Transitions / 12.3：

Landau's Theory of Continuous Phase Transitions / 12.4：

Continuity of Entropy and Discontinuity of Specific Heat / 12.5：

Generalized Susceptibility / 12.6：

Critical Exponents and Fluctuations of Order Parameter / 12.7：

Ising Model / 12.8：

Zero-Field 1-Dimensional Case / 12.8.1：

Non-Zero-Field 1-Dimensional Case / 12.8.2：

Multi-Dimensional Case / 12.8.3：

2-Dimensional Ising System / 12.8.4：

Irreversible Processes / 12.9：

Linear Response Theory (Kubo Formalism) / 13.1：

Mechanical Process / 13.2.1：

Thermal Process / 13.2.2：

Symmetry Relations / 13.3：

Fluctuation-Dissipation Theorem / 13.4：

Mathematical Appendix / 13.5：

Beta and Gamma Functions / 14.1：

Dirac Delta Function (Distribution) / 14.2：

Functional Derivative / 14.3：

Mathematical Identities / 14.4：

Multiple Summation / 14.5：

Pauli Matrices / 14.6：

Probability Theory / 14.7：

Elementary Results of Probability Theory / 14.7.1：

Statistical Distributions / 14.7.2：

Central Limit Theorem / 14.7.3：

Quantum Mechanics, A Retrospect / 14.8：

Riemann, Bernoulli and Fourier / 14.9：

Riemann's ζ-Function / 14.9.1：

Bernoulli Numbers and Polynomials / 14.9.2：

Fourier Series / 14.9.3：

Integrals of Quantum Statistics / 14.9.4：

Sanskrit Transliteration / 14.10：

Stirling's Theorem / 14.11：

Summation and Integration / 14.12：

Volume of an N-Dimensional Sphere / 14.13：

Bibliography

Index

Preface

Notations and Fundamental Constants

Basic Concepts / 1：

Introduction / 1.1：

Master Equation and Hypothesis of Equal á-priori Probability / 1.2：

Example of 3 Level Systems / 1.2.1：

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