Statistical Mechanics B
| Numbering Code | U-SCI00 33211 LJ57 | Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | 3rd year students or above | Target Student | ||
| Language | Japanese | Day/Period | Wed.2 | |
| Instructor name | ARAKI TAKEAKI (Graduate School of Science Associate Professor) | |||
| Outline and Purpose of the Course | Thermodynamics and statistical mechanics are general methods for understanding macroscopic systems' physical and chemical properties with many degrees of freedom. This course teaches the principles of statistical mechanics in thermal equilibrium and the basics of thermodynamics to connect the microscopic world described by statistical mechanics and the macroscopic world described in thermodynamics. In particular, this course will deepen students' understanding of interacting systems and phase transition phenomena. | |||
| Course Goals | To understand the basic concepts of thermodynamics and statistical mechanics related to interactive systems, phase transition phenomena, and thermal fluctuations, and to be able to use analytical methods using them. | |||
| Schedule and Contents |
Lectures on the following issues are planned, with 1-3 lectures per topic, depending on our progress. 1. Review of the principles of statistical mechanics (1 lecture): Boltzmann entropy, ensemble methods 2. Classical and quantum statistics mechanics (2 lectures): Boltzmann distribution, Fermi distribution, and Bose distribution 3. Statistical mechanical calculation method (1 lecture): cumulants and moments, perturbation theory, and variational methods 4. Interaction systems (3 lectures): inperfect gas, charged particle system 5. Phase transition (2.5 lectures): outline of phase transition, Ising modeling, mean-field approximation, transfer matrix, liquid crystal system 6. Phenomenology of phase transition (2.5 lectures): Van der Waals gas, Landau-Gizburg model 7. Critical phenomenon (2 lectures): renormalization group theory, scaling law 8. Feedback (1 lecture) |
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| Course Requirements |
Suggested prerequisites: Completed or are currently taking Thermodynamics, Statistical Mechanics A, Quantum Mechanics A, and Statistical Mechanics Practicum 1. |
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| Study outside of Class (preparation and review) | Choose your preferred statistical mechanics textbook, and prepare and review lecture content therein themselves. Questions will be accepted during office hours, even for content not covered in class. | |||
| Textbooks | Textbooks/References | Will be specified in class. | ||
| References, etc. | Will be introduced in lectures. | |||
| Related URL | ||||
