▶Japanese
Post to SNS
- Home
- > School of Science
- > Undergraduate major in Earth and Planetary Sciences
- > Statistical Mechanics (EPS course)
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Earth and Planetary Sciences
- Instructor(s)
- Sato Bunei Hosoya Akio
- Class Format
- Lecture / Exercise (ZOOM)
- Media-enhanced courses
- Day/Period(Room No.)
- Tue5-8(W932) Fri5-8(W932)
- Group
- -
- Course number
- EPS.B332
- Credits
- 4
- Academic year
- 2020
- Offered quarter
- 4Q
- Syllabus updated
- 2020/9/18
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This course is primarily for beginners who need a basic understanding of statistical mechanics starting from a summary of thermodynamics.
The classical gas molecular theory helps to grasp the basic concept of probability distribution to micro-canonical, canonical, and grand canonical ensembles. Some applications are shown.
Student learning outcomes
[target] Students will become comfortable to use basic statistical mechanics as a useful standard tool for the earth and planetary sciences.
Keywords
thermodynamics, gas molecular dynamics, micro-canonical, canonical,grand canonical ensemble, entropy, free energy, partition function
Competencies that will be developed
| Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
Starting with a brief summary of the previous lecture I will give a simple homework assignment to
help students gain a better understanding. At the end of the course an overall summary is given, which may be helpful for the exam.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Thermodynamics（１） | The first law, what is heat? |
| Class 2 | Thermodynamics（２） | Carnot’s principle, entropy |
| Class 3 | gas molecular theory | Maxwell's distribution, Bernoulli’s relation |
| Class 4 | Thermodynamics and statistical mechanics | macroscopic and microscopic physics |
| Class 5 | Micro-canonical statistics | principle of equal a priori probabilities、 Boltzmann’s formula、ideal gas |
| Class 6 | Canonical statistics（１） | Derivation from microcanonical statistics、Helmholtz’ free energy |
| Class 7 | Canonical statistics（２） | Partition function、Boltzmann factor |
| Class 8 | Canonical statistics（（３） | Free particles, Harmonic ocsillator |
| Class 9 | Grand canonical statistics | Gibbs’ free energy、Chemical potential |
| Class 10 | Quantum statistical mechanics（１） | Bose statistics、Bose-Einstein condensation |
| Class 11 | Quantum statistical mechanics（２） | Fermi statistics、Fermi degeneracy |
| Class 12 | Application of statistical mechanics to astrophysics（１） | White dwarf、Neutron star、Chandrasekhar limit |
| Class 13 | Application of statistical mechanics to astrophysics（２） | Nucleosynthesis |
| Class 14 | Examination | Examination |
Out-of-Class Study Time (Preparation and Review)
To enhance effective learning, students are encouraged to spend a certain length of time outside of class on preparation and review (including for assignments), as specified by the Tokyo Institute of Technology Rules on Undergraduate Learning (東京工業大学学修規程) and the Tokyo Institute of Technology Rules on Graduate Learning (東京工業大学大学院学修規程), for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
none
Reference books, course materials, etc.
"statistical mechanics", Landau and Lifshitz
Assessment criteria and methods
by Homeworks, Exam, Exercise, Mini-exam
Related courses
- EPS.B202 ： Thermodynamics (EPS course)
- EPS.B331 ： Quantum Mechanics (EPS course)
Prerequisites (i.e., required knowledge, skills, courses, etc.)
none
