# Statistical Thermodynamics: Fundamentals and Applications

Cambridge University Press, 8/17/2011

EAN 9780521154192, ISBN10: 0521154197

Paperback, 464 pages, 26 x 18.1 x 2.7 cm

Language: English

This 2006 textbook discusses the fundamentals and applications of statistical thermodynamics for beginning graduate students in the physical and engineering sciences. Building on the prototypical MaxwellÃ¢â‚¬â€œBoltzmann method and maintaining a step-by-step development of the subject, this book assumes the reader has no 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. Numerous examples and prompted homework problems enrich the text.

Preface

1. Introduction

Part I. Fundamentals of Statistical Thermodynamics

2. Probability and statistics

Problem set I. Probability theory and statistical mathematics

3. The statistics of independent particles

4. Thermodynamics properties in the dilute limit

Problem set II. Statistical modeling for thermodynamics

Part II. Quantum Mechanics and Spectroscopy

5. Basics of quantum mechanics

6. Quantum analysis of internal energy modes

7. The spectroscopy of diatomic molecules

Problem set III. Quantum mechanics and spectroscopy

Part III. Statistical Thermodynamics in the Dilute Limit

8. Interlude

from particle to assembly

9. Thermodynamic properties of the ideal gas

Problem set IV. Thermodynamic properties of the ideal gas

10. Statistical thermodynamics for ideal gas mixtures

11. Concentration and temperature measurements

Problem set V. Chemical equilibrium and diagnostics

Part IV. Statistical Thermodynamics beyond the Dilute Limit

12. Thermodynamics and information

13. Elements of the solid state

14. Equilibrium radiation

Problem set VI. The solid state and radiation

Part V. Non-Equilibrium Statistical Thermodynamics

15. Elementary kinetic theory

16. Kinetics of molecular transport

17. Chemical kinetics

Problem set VII. Kinetic theory and molecular transport

Part VI. The Ensemble Method of Statistical Thermodynamics

18. The canonical and grand canonical ensembles

19. Applications of ensemble theory to real gases

Problem set VIII. Ensemble theory and the non-ideal gas

20. Whence and whither

Part VII. Appendices

Index.