http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
understanding the properties of macroscopic systems
1 online resource (xiii, 534 pages : illustrations (black and white)
Statistical thermodynamics and the related domains of statistical physics and quantum mechanics are very important in many fields of research, including plasmas, rarefied gas dynamics, nuclear systems, lasers, semiconductors, superconductivity, ortho- and para-hydrogen, liquid helium, and so on. Statistical Thermodynamics: Understanding the Properties of Macroscopic Systems provides a detailed overview of how to apply statistical principles to obtain the physical and thermodynamic properties of macroscopic systems.
Machine generated contents note: ch. 1 Basic Principles of Statistical Physics -- 1.1. Microscopic and Macroscopic Description of States -- 1.2. Basic Postulates -- 1.3. Gibbs Ergodic Assumption -- 1.4. Gibbsian Ensembles -- 1.5. Experimental Basis of Statistical Mechanics -- 1.6. Definition of Expectation Values -- 1.7. Ergodic Principle and Expectation Values -- 1.8. Properties of Distribution Functions -- 1.8.1. About Probabilities -- 1.8.2. Normalization Requirement of Distribution Functions -- 1.8.3. Property of Multiplicity of Distribution Functions -- 1.9. Relative Fluctuation of an Additive Macroscopic Parameter -- 1.9.1. Questions and Answers -- 1.10. Liouville Theorem -- 1.10.1. Questions and Answers -- 1.11. Gibbs Microcanonical Ensemble -- 1.12. Microcanonical Distribution in Quantum Mechanics -- 1.13. Density Matrix -- 1.14. Density Matrix in Energy Representation -- 1.15. Entropy -- 1.15.1. Entropy of Microcanonical Distribution -- 1.15.2. Exact and "Inexact" Differentials
Note continued: 1.15.3. Properties of Entropy -- ch. 2 Thermodynamic Functions -- 2.1. Temperature -- 2.2. Adiabatic Processes -- 2.3. Pressure -- 2.3.1. Questions on Stationary Distributions Functions and Ideal Gas Statistics -- 2.4. Thermodynamic Identity -- 2.5. Laws of Thermodynamics -- 2.5.1. First Law of Thermodynamics -- 2.5.2. Second Law of Thermodynamics -- 2.6. Thermodynamic Potentials, Maxwell Relations -- 2.7. Heat Capacity and Equation of State -- 2.8. Jacobian Method -- 2.9. Joule -- Thomson Process -- 2.10. Maximum Work -- 2.11. Condition for Equilibrium and Stability in an Isolated System -- 2.12. Thermodynamic Inequalities -- 2.13. Third Law of Thermodynamics -- 2.13.1. Nernst Theorem -- 2.14. Dependence of Thermodynamic Functions on Number of Particles -- 2.15. Equilibrium in an External Force Field -- ch. 3 Canonical Distribution -- 3.1. Gibbs Canonical Distribution -- 3.2. Basic Formulas of Statistical Physics -- 3.3. Maxwell Distribution
Note continued: 3.4. Experimental Basis of Statistical Mechanics -- 3.5. Grand Canonical Distribution -- 3.6. Extremum of Canonical Distribution Function -- ch. 4 Ideal Gases -- 4.1. Occupation Number -- 4.2. Boltzmann Distribution -- 4.2.1. Distribution with Respect to Coordinates -- 4.3. Entropy of a Nonequilibrium Boltzmann Gas -- 4.4. Free Energy of the Ideal Boltzmann Gas -- 4.5. Equipartition Theorem -- 4.6. Monatomic Gas -- 4.7. Vibrations of Diatomic Molecules -- 4.8. Rotation of Diatomic Molecules -- 4.9. Nuclear Spin Effects -- 4.10. Electronic Angular Momentum Effect -- 4.11. Experiment and Statistical Ideas -- 4.11.1. Specific Heats -- ch. 5 Quantum Statistics of Ideal Gases -- 5.1. Maxwell -- Boltzmann, Bose -- Einstein, and Fermi -- Dirac Statistics -- 5.2. Generalized Thermodynamic Potential for a Quantum Ideal Gas -- 5.3. Fermi -- Dirac and Bose -- Einstein Distributions -- 5.4. Entropy of Nonequilibrium Fermi and Bose Gases -- 5.4.1. Fermi Gas -- 5.4.2. Bose Gas
Note continued: 5.5. Thermodynamic Functions for Quantum Gases -- 5.6. Properties of Weakly Degenerate Quantum Gases -- 5.6.1. Fermi Energy -- 5.7. Degenerate Electronic Gas at Temperature Different from Zero -- 5.8. Experimental Basis of Statistical Mechanics -- 5.9. Application of Statistics to an Intrinsic Semiconductor -- 5.9.1. Concentration of Carriers -- 5.10. Application of Statistics to Extrinsic Semiconductor -- 5.11. Degenerate Bose Gas -- 5.11.1. Condensation of Bose Gases -- 5.12. Equilibrium or Black Body Radiation -- 5.12.1. Electromagnetic Eigenmodes of a Cavity -- 5.13. Application of Statistical Thermodynamics to Electromagnetic Eigenmodes -- ch. 6 Electron Gas in a Magnetic Field -- 6.1. Evaluation of Diamagnetism of a Free Electron Gas; Density Matrix for a Free Electron Gas -- 6.2. Evaluation of Free Energy -- 6.3. Application to a Degenerate Gas -- 6.4. Evaluation of Contour Integrals -- 6.5. Diamagnetism of a Free Electron Gas; Oscillatory Effect
Note continued: ch. 7 Magnetic and Dielectric Materials -- 7.1. Thermodynamics of Magnetic Materials in a Magnetic Field -- 7.2. Thermodynamics of Dielectric Materials in an Electric Field -- 7.3. Magnetic Effects in Materials -- 7.4. Adiabatic Cooling by Demagnetization -- ch. 8 Lattice Dynamics -- 8.1. Periodic Functions of a Reciprocal Lattice -- 8.2. Reciprocal Lattice -- 8.3. Vibrational Modes of a Monatomic Lattice -- 8.3.1. Linear Monatomic Chain -- 8.3.2. Density of States -- 8.4. Vibrational Modes of a Diatomic Linear Chain -- 8.5. Vibrational Modes in a Three-Dimensional Crystal -- 8.5.1. Properties of the Dynamical Matrix -- 8.5.2. Cyclic Boundary for Three-Dimensional Cases -- 8.5.2.1. Born -- Von Karman Cyclic Condition -- 8.6. Normal Vibration of a Three-Dimensional Crystal -- ch. 9 Condensed Bodies -- 9.1. Application of Statistical Thermodynamics to Phonons -- 9.2. Free Energy of Condensed Bodies in the Harmonic Approximation -- 9.3. Condensed Bodies at Low Temperatures
Note continued: 9.4. Condensed Bodies at High Temperatures -- 9.5. Debye Temperature Approximation -- 9.6. Volume Coefficient of Expansion -- 9.7. Experimental Basis of Statistical Mechanics -- ch. 10 Multiphase Systems -- 10.1. Clausius -- Clapeyron Formula -- 10.2. Critical Point -- ch. 11 Macroscopic Quantum Effects: Superfluid Liquid Helium -- 11.1. Nature of the Lambda Transition -- 11.2. Properties of Liquid Helium -- 11.3. Landau Theory of Liquid He II -- 11.4. Superfluidity of Liquid Helium -- ch. 12 Non ideal Classical Gases -- 12.1. Pair Interactions Approximation -- 12.2. Van Der Waals Equation -- 12.3.Completely Ionized Gas -- ch. 13 Functional Integration in Statistical Physics -- 13.1. Feynman Path Integrals -- 13.2. Least Action Principle -- 13.3. Representation of Transition Amplitude through Functional Integration -- 13.3.1. Transition Amplitude in Hamiltonian Form -- 13.3.2. Transition Amplitude in Feynman Form -- 13.3.3. Example: A Free Particle
Note continued: 13.4. Transition Amplitudes Using Stationary Phase Method -- 13.4.1. Motion in Potential Field -- 13.4.2. Harmonic Oscillator -- 13.5. Representation of Matrix Element of Physical Operator through Functional Integral -- 13.6. Property of Path Integral Due to Events Occurring in Succession -- 13.7. Eigenvectors -- 13.8. Transition Amplitude for Time-Independent Hamiltonian -- 13.9. Eigenvectors and Energy Spectrum -- 13.9.1. Harmonic Oscillator Solved via Transition Amplitude -- 13.9.2. Coordinate Representation of Transition Amplitude of Forced Harmonic Oscillator -- 13.9.3. Matrix Representation of Transition Amplitude of Forced Harmonic Oscillator -- 13.10. Schrodinger Equation -- 13.11. Green Function for Schrodinger Equation -- 13.12. Functional Integration in Quantum Statistical Mechanics -- 13.13. Statistical Physics in Representation of Path Integrals -- 13.14. Partition Function of Forced Harmonic Oscillator -- 13.15. Feynman Variational Method
Note continued: 13.15.1. Proof of Feynman Inequality -- 13.15.2. Application of Feynman Inequality -- 13.16. Feynman Polaron Energy.
Lukong Cornelius Fai and Gary Matthew Wysin.
Includes bibliographical references and index.