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Statistical thermodynamics : understanding the properties of macroscopic systems /

Bibliographic Details
Main Authors: Fai, Lukong Cornelius (Author), Wysin, Gary Matthew (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press, Taylor & Francis Group, [2013]
Boca Raton : CRC Press, [2013]
Edition:First edition.
Subjects:
Statistical thermodynamics.
Thermodynamique statistique.
SCIENCE > Mechanics > Dynamics > Thermodynamics.
SCIENCE > Physics.
Statistical thermodynamics
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.