| Course title | |||||
| 統計力学 [Statistical Thermodynamics] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 3～4 | Semester | 1st | |
| Course type | 1st | Course code | 023351 | ||
| Instructor(s) | |||||
| 下村 武史 [SHIMOMURA Takeshi] | |||||
| Facility affiliation | Faculty of Engineering | Office | afjgxte/L1151 | Email address | |
| Course description |
|
"Statistical Thermodynamics" provides the exact method to make macroscopic thermodynamic quantities such as entropy, free energy, connect with microscopic behavior. In particular, the many body system, which cannot be dealt with in classical mechanics, can be explained by probability theory. The usage of micro-canonical, canonical, and grand-canonical ensembles is studied through a lot of examples. A mini exam will be performed at the start of the lecture for confirming the understanding. |
| Expected Learning |
|
Various problems such as gas kinetics, spin motion, polymer conformation, and surface adsoption can be explained by the methods provided in the lecture. Corresponding criteria in the Diploma Policy:See the Curriculum maps. |
| Course schedule |
|
I. Basic principles 1. Overview 2. Enumeration of microstates 3. Statistical postulates (principle of equal weight and heat equilibrium) 4. Disorder, entropy, and temperature II. Microcanonical ensemble 5. Entropy of ideal gas 6. Boltzmann distribution and method of Lagrange multiplier 7. Maxwell-Boltzmann velocity distribution 8. Noninteracting oscillators and paramagnetism 9. Summary III. Canonical ensemble 10. Definition and properties 11. Helmholtz Free energy: Definition and usage 12. Gibbs Free energy: Definition and usage iV. Grand canonical ensemble 13. Chemical potential: Definition and usage 14. Definition and properties 15. Summary Comprehensive final |
| Prerequisites |
|
The credit of "Physical Chemistry I" should definitely be needed and the knowledge of permutations and combinations studied in high school is needed. In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below. |
| Required Text(s) and Materials |
| "Statistical Physics" in Japanese, Y. Nagaoka, Iwanami (1994). |
| References |
|
"Physical chemistry 9th edition", P. Atkins and J. de Paula, W. H. Freeman (2009). |
| Assessment/Grading |
| The grade evaluation in this online class is premised on all attendances, and comprehensively evaluates the attitude to learn, quizzes, report, and online tests. Standard study time set by the our university is required to get the grade. The rate of evaluation is as follows: quizzes and assignment test: 30%, and online test or final exam or final report: 70%. |
| Message from instructor(s) |
| Course keywords |
| gas kinetics, partition function, distribution function, canonical ensembles, specific heat |
| Office hours |
| After every lecture |
| Remarks 1 |
| You can download related materials from Moodle site. |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 4/7/2021 11:54:09 PM |