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Statistical thermodynamics and stochastic kinetics : an introduction for engineers /
"Presenting the key principles of thermodynamics from a microscopic point of view, this book provides engineers with the knowledge they need to apply thermodynamics and solve engineering challenges at the molecular level. It clearly explains the concerns of entropy and free energy, emphasising...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Statistical Thermodynamics and Stochastic Kinetics An Introduction for Engineers; Title; Copyright; Contents; Dedication; Acknowledgments; 1 Introduction; 1.1 Prologue; 1.2 If we had only a single lecture in statistical thermodynamics; 2 Elements of probability and combinatorial theory; 2.1 Probability theory; 2.1.1 Useful definitions; 2.1.2 Probability distributions; 2.1.3 Mathematical expectation; 2.1.4 Moments of probability distributions; 2.1.5 Gaussian probability distribution; 2.2 Elements of combinatorial analysis; 2.2.1 Arrangements; 2.2.2 Permutations; 2.2.3 Combinations.
- 2.3 Distinguishable and indistinguishable particles2.4 Stirling's approximation; 2.5 Binomial distribution; 2.6 Multinomial distribution; 2.7 Exponential and Poisson distributions; 2.8 One-dimensional random walk; 2.9 Law of large numbers; 2.10 Central limit theorem; 2.11 Further reading; 2.12 Exercises; 3 Phase spaces, from classical to quantum mechanics, and back; 3.1 Classical mechanics; 3.1.1 Newtonian mechanics; 3.1.2 Generalized coordinates; 3.1.3 Lagrangian mechanics; 3.1.4 Hamiltonian mechanics; 3.2 Phase space; 3.2.1 Conservative systems; 3.3 Quantum mechanics.
- 3.3.1 Particle-wave duality3.3.2 Heisenberg's uncertainty principle; 3.4 From quantum mechanical to classical mechanical phase spaces; 3.4.1 Born-Oppenheimer approximation; 3.5 Further reading; 3.6 Exercises; 4 Ensemble theory; 4.1 Distribution function and probability density in phase space; 4.2 Ensemble average of thermodynamic properties; 4.3 Ergodic hypothesis; 4.4 Partition function; 4.5 Microcanonical ensemble; 4.6 Thermodynamics from ensembles; 4.7 S=kB ln O, or entropy understood; 4.8 O for ideal gases; 4.9 O with quantum uncertainty; 4.10 Liouville's equation; 4.11 Further reading.
- 4.12 Exercises5 Canonical ensemble; 5.1 Probability density in phase space; 5.2 NVT ensemble thermodynamics; 5.3 Entropy of an NVT system; 5.4 Thermodynamics of NVT ideal gases; 5.5 Calculation of absolute partition functions is impossible and unnecessary; 5.6 Maxwell-Boltzmann velocity distribution; 5.7 Further reading; 5.8 Exercises; 6 Fluctuations and other ensembles; 6.1 Fluctuations and equivalence of different ensembles; 6.2 Statistical derivation of the NVT partition function; 6.3 Grand-canonical and isothermal-isobaric ensembles; 6.4 Maxima and minima at equilibrium.
- 6.5 Reversibility and the second law of thermodynamics6.6 Further reading; 6.7 Exercises; 7 Molecules; 7.1 Molecular degrees of freedom; 7.2 Diatomic molecules; 7.2.1 Rigid rotation; 7.2.2 Vibrations included; 7.2.3 Subatomic degrees of freedom; 7.3 Equipartition theorem; 7.4 Further reading; 7.5 Exercises; 8 Non-ideal gases; 8.1 The virial theorem; 8.1.1 Application of the virial theorem: equation of state for non-ideal systems; 8.2 Pairwise interaction potentials; 8.2.1 Lennard-Jones potential; 8.2.2 Electrostatic interactions; 8.2.3 Total intermolecular potential energy.