Laurendeau N.M. Statistical Thermodynamics: Fundamentals and Applications

Cambridge University Press, 2005, 448 p.Statistical Thermodynamics: Fundamentals and Applications discusses the fundamentals and applications of statistical thermodynamics for beginning graduate students in the engineering sciences. Building on the prototypical Maxwell–Boltzmann method and maintaining a step-by-step development of the subject, this book makes few presumptions concerning students’ previous exposure to statistics, quantum mechanics, or spectroscopy. The book begins with the essentials of statistical thermodynamics, pauses to recover needed knowledge from quantum mechanics and spectroscopy, and then moves on to applications involving ideal gases, the solid state, and radiation. A full introduction to kinetic theory is provided, including its applications to transport phenomena and chemical kinetics. A highlight of the textbook is its discussion of modern applications, such as laser-based diagnostics. The book concludes with a thorough presentation of the ensemble method, featuring its use for real gases. Each chapter is carefully written to address student difficulties in learning this challenging subject, which is fundamental to combustion, propulsion, transport phenomena, spectroscopic measurements, and nanotechnology. Students are made comfortable with their new knowledge by the inclusion of both example and prompted homework problems.Fundamentals of Statistical Thermodynamics
Probability and Statistics
The Statistics of Independent Particles
Thermodynamic Properties in the Dilute LimitQuantum Mechanics and Spectroscopy
Basics of Quantum Mechanics
Quantum Analysis of Internal Energy Modes
The Spectroscopy of Diatomic MoleculesStatistical Thermodynamics in the Ilute limit
Interlude: From Particle to Assembly
Thermodynamic Properties of the Ideal Gas
Statistical Thermodynamics for Ideal Gas Mixtures
Concentration and Temperature MeasurementsStatistical Thermodynamics beyond the Dilute Limit
Thermodynamics and Information
Elements of the Solid State
Equilibrium RadiationNonequilibrium Statistical Thermodynamics
Elementary Kinetic Theory
Kinetics of Molecular Transport
Chemical KineticsThe Ensemble Method of Statistical Thermodynamics
The Canonical and Grand Canonical Ensembles
Applications of Ensemble Theory to Real Gases
Whence and WhitherAppendices
Physical Constants and Conversion Factors
Series and Integrals
Periodic Table
Mathematical Procedures
Thermochemical Data for Ideal Gases
Summary of Classical Thermodynamics
Review of Classical Mechanics
Review of Operator Theory
The Spherical Coordinate System
Electronic Energy Levels
Energy-Mode Parameters for Molecules
Normal Mode Analysis
Tabulation of Debye Function
Maxwell–Boltzmann Energy Distribution
Force Constants for the Lennard–Jones Potential
Collision Integrals for Calculating Transport Properties from the Lennard–Jones Potential
Reduced Second Virial Coefficient from the Lennard–Jones Potential
References and Acknowledgments