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Nonequilibrium Gas Dynamics and Molecular Simulation
註釋Cover -- Half title -- Series -- Title -- Copyright -- Contents -- List of Illustrations -- List of Tables -- Preface -- Acknowledgments -- Part I: Theory -- 1 Kinetic Theory -- 1.1 Introduction -- 1.2 Fundamental Concepts -- 1.2.1 Particle Model -- 1.2.2 Macroscopic Quantities from Molecular Behavior -- 1.2.3 Molecular Collisions -- 1.2.4 Molecular Transport Processes -- 1.3 Kinetic Theory Analysis -- 1.3.1 Velocity Distribution Function -- 1.3.2 The Boltzmann Equation -- 1.3.3 The H-Theorem of Boltzmann -- 1.3.4 Maxwellian VDF -- 1.3.5 Equilibrium Collision Properties -- 1.3.6 Free Molecular Flow onto a Surface -- 1.3.7 Kinetic-Based Analysis of Nonequilibrium Flow -- 1.3.8 Free Molecular Flow Analysis -- 1.4 Summary -- 1.5 Problems -- 2 Quantum Mechanics -- 2.1 Introduction -- 2.2 Quantum Mechanics -- 2.2.1 Heisenberg Uncertainty Principle -- 2.2.2 The Schrödinger Equation -- 2.2.3 Solutions of the Schrödinger Equation -- 2.2.4 Two-Particle System -- 2.2.5 Rotational and Vibrational Energy -- 2.2.6 Electronic Energy -- 2.3 Atomic Structure -- 2.3.1 Electron Classification -- 2.3.2 Angular Momentum -- 2.3.3 Spectroscopic Term Classification -- 2.3.4 Excited States -- 2.4 Structure of Diatomic Molecules -- 2.4.1 Born-Oppenheimer Approximation -- 2.4.2 Rotational and Vibrational Energy -- 2.4.3 Electronic States -- 2.5 Summary -- 2.6 Problems -- 3 Statistical Mechanics -- 3.1 Introduction -- 3.2 Molecular Statistical Methods -- 3.2.1 Energy Groups -- 3.3 Distribution of Energy States -- 3.3.1 Boltzmann Limit -- 3.3.2 Boltzmann Energy Distribution -- 3.4 Relation to Thermodynamics -- 3.4.1 Boltzmann's Relation -- 3.4.2 Macroscopic Thermodynamic Properties -- 3.5 Partition Functions -- 3.5.1 Translational Energy -- 3.5.2 Internal Structure -- 3.5.3 Monatomic Gas -- 3.5.4 Diatomic Gas -- 3.6 Dissociation-Recombination System -- 3.7 Summary