Titre : | Statistical Thermodynamics Understanding the Properties of Macroscopic Systems |
Auteurs : | Cornelius Fai Lukong, Auteur ; Matthew Wysin Gary, Auteur |
Type de document : | Monographie imprimée |
Editeur : | CRC Press, 2012 |
ISBN/ISSN/EAN : | 978-0-367-38076-2 |
Format : | 1 vol. (534 p.) / couv. ill. en coul / 23.5 |
Langues: | Anglais |
Langues originales: | Anglais |
Résumé : |
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. Intended for physics, chemistry, and other science students at the graduate level, the book starts with fundamental principles of statistical physics, before diving into thermodynamics. Going further than many advanced textbooks, it includes Bose-Einstein, Fermi-Dirac statistics, and Lattice dynamics as well as applications in polaron theory, electronic gas in a magnetic field,thermodynamics of dielectrics, and magnetic materials in a magnetic field. The book concludes with an examination of statistical thermodynamics using functional integration and Feynman path integrals, and includes a wide range of problems with solutions that explain the theory. |
Sommaire : |
1.Basic Principles of Statistical Physics Microscopic and Macroscopic Description of States Basic Postulates Gibbs Ergodic Assumption Gibbsian Ensembles Experimental Basis of Statistical Mechanics Definition of Expectation Values Ergodic Principle and Expectation Values Properties of Distribution Function Relative Fluctuation of an Additive Macroscopic Parameter Liouville Theorem Gibbs Microcanonical Ensemble Microcanonical Distribution in Quantum Mechanics Density Matrix Density Matrix in Energy Representation Entropy 2.Thermodynamic Functions Temperature Adiabatic Processes Pressure Thermodynamic Identity Laws of Thermodynamics Thermodynamic Potentials, Maxwell Relations Heat Capacity and Equation of State Jacobian Method Joule–Thomson Process Maximum Work Condition for Equilibrium and Stability in an Isolated System Thermodynamic Inequalities Third Law of Thermodynamics Dependence of Thermodynamic Functions on Number of Particles Equilibrium in an External Force Field 3.Canonical Distribution Gibbs Canonical Distribution Basic Formulas of Statistical Physics Maxwell Distribution Experimental Basis of Statistical Mechanics Grand Canonical Distribution Extremum of Canonical Distribution Function 4.Ideal Gases Occupation Number Boltzmann Distribution Entropy of a Nonequilibrium Boltzmann Gas Applications of Statistical Thermodynamics to Some Systems Free Energy of the Ideal Boltzmann Gas Equipartition Theorem Monatomic Gas Vibrations of Diatomic Molecules Rotation of Diatomic Molecules Nuclear Spin Effects Electronic Angular Momentum Effect Experiment and Statistical Ideas 4.Quantum Statistics of Ideal Gases Maxwell–Boltzmann, Bose–Einstein, and Fermi–Dirac Statistics Generalized Thermodynamic Potential for a Quantum Ideal Gas Fermi–Dirac and Bose–Einstein Distributions Entropy of Nonequilibrium Fermi and Bose Gases Thermodynamic Functions for Quantum Gases Properties of Weakly Degenerate Quantum Gas Degenerate Electronic Gas at Temperature Different from Zero Experimental Basis of Statistical Mechanics Application of Statistics to an Intrinsic Semiconductor Application of Statistics to Extrinsic Semiconductor Degenerate Bose Gas Equilibrium or Black Body Radiation Application of Statistical Thermodynamics to Electromagnetic Eigenmodes 5.The Electron Gas in a Magnetic Field Evaluation of Diamagnetism of a Free Electron Gas; Density Matrix for a Free Electron Gas Evaluation of Free Energy Application to a Degenerate Gas Evaluation of Contour Integrals Diamagnetism of a Free Electron Gas; Oscillatory Effect 6.Magnetic and Dielectric Materials Thermodynamics of Magnetic Materials in a Magnetic Field Thermodynamics of Dielectric Materials in an Electric Field Magnetic Effects in Materials Adiabatic Cooling by Demagnetization 7.Lattice Dynamics Periodic Functions of a Reciprocal Lattice Reciprocal Lattice Vibrational Modes of a Monatomic Lattice Vibrational Modes of a Diatomic Linear Chain Vibrational Modes in a Three-Dimensional Crystal Normal Vibration of a Three-Dimensional Crystal 8.Condensed Bodies Application of Statistical Thermodynamics to Phonons Free Energy of Condensed Bodies in the Harmonic Approximation Condensed Bodies at Low Temperatures Condensed Bodies at High Temperatures Debye Temperature Approximation Volume Coefficient of Expansion The Experimental Basis of Statistical Mechanics 9.Applications of Statistical Thermodynamics Multiphase Systems Critical Point 10.Macroscopic Quantum Effects: Superfluid Liquid Helium Nature of the Lambda Transition Properties of Liquid Helium Landau Theory of Liquid He II Superfluidity of Liquid Helium 11.Nonideal Classical Gases Pair Interactions Approximation Van Der Waals Equation Completely Ionized Gas 12.Functional Integration in Statistical Physics Feynman Path Integrals Least Action Principle Representation of Transition Amplitude through Functional Integration Transition Amplitudes Using Stationary Phase Method Representation of Matrix Element of Physical Operator through Functional Integral Property of Path Integral Due to Events Occurring in Succession Eigenvectors Transition Amplitude for Time-Independent Hamiltonian Eigenvectors and Energy Spectrum Schrödinger Equation Green Function for Schrödinger Equation Functional Integration in Quantum Statistical Mechanics Statistical Physics in Representation of Path Integrals Partition Function of Forced Harmonic Oscillator Feynman Variational Method Feynman Polaron Energy References Index |
Disponibilité (2)
Cote | Support | Localisation | Statut |
---|---|---|---|
PHY/867 | Livre | bibliothèque sciences exactes | Consultable |
PHY/867 | Livre | bibliothèque sciences exactes | Empruntable |