Learning Objective:The objective of the course is to provide mechanical engineering graduate students with the background needed for research in emerging technology areas such as nanoscale science and for the application of modern experimental techniques in traditional research areas such as combustion and fluid mechanics. Understanding of material behavior and properties from a microscopic viewpoint is emphasized.
The molecular interpretation of thermodynamic equilibrium. Development of the partition function. Introduction to quantum mechanics and molecular spectroscopy. The Maxwell-Boltzmann formulation of statistical mechanics and applications to ideal gases, solids, radiation, and laser diagnostics. The Gibbs formulation of statistical mechanics and application to real gases. Kinetic theory and applications to transport properties and chemical kinetics.
Fall 2019 Syllabus
- Fundamentals of Quantum Mechanics
- Atomic Structure
- Molecular Structure
- Introduction to Statistical Models: Fermi-Dirac, Bose-Einstein, Maxwell-Boltzmann
- The Dilute Limit: Corrected Maxwell-Boltzmann Statistics
- The Partition Function
- Calculation of Thermodynamic Properties
- Molecular Distributions
- Gas Mixtures
- Crystalline Solids and Phonons
- Metals and the Electron Gas
- Kinetic Theory and Transport Properties
- Canonical and Grand Canonical Ensembles
- Real Gases and Liquids
Prerequisites:Undergraduate course in thermodynamics.
Applied / Theory:50 / 50
Web Content:Syllabus, grades, lecture notes, homework, solutions, quizzes
Homework:6-8 homework assignments. Homework should be emailed to Lucht@purdue.edu
Exams:2 midterm exams and 1 final exam.
Textbooks:Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.
Statistical Thermodynamics: Fundamentals and Applications, Normand M. Laurendeau, First Edition, Cambridge Press, 2005, ISBN: 9780521154192