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課程名稱 |
統計物理一
Statistical Physics (Ⅰ) |
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開課學期 |
111-2 |
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授課對象 |
天文物理研究所 |
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授課教師 |
郭光宇 |
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課號 |
Phys7016 |
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課程識別碼 |
222EM1610 |
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班次 |
02 |
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學分 |
4.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期一8,9(15:30~17:20)星期三3,4(10:20~12:10) |
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上課地點 |
新物112新物112 |
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備註 |
本課程以英語授課。
限本系所學生(含輔系、雙修生) 且 限學號雙號
總人數上限：90人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
This one semester course deals with the fundamentals of statistical mechanics.
Topics to be covered (basically following the textbook, but not necessarily in that order) include:
1. Statistical basis of thermodynamics
2. Elements of ensemble theory
3. Canonical ensemble
4. Grand canonical ensemble
5. Formulation of quantum statistics
6. Theory of simple gases
7. Bose systems
8. Fermi systems
9. Elements of phase transitions |
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課程目標 |
Both thermodynamics and statistical mechanics are concerned with thermal phenomena or thermal properties of thermodynamic systems. Any phenomenon that depends on temperature is a thermal phenomenon, and any temperature-dependent property of a macroscopic system is a thermal property. Therefore, thermal phenomena and thermal properties of thermodynamic systems include almost any phenomena and any properties of any systems one can see on earth. In the last century, these were extended to include objects in the sky and even our universe.
Thermodynamics consists of the establishment of three laws of thermodynamics and their applications. The laws of thermodynamics are the empirical laws which were drawn from a large part of our experience and a large number of experimental observations. Thus, theoretical conclusions from thermodynamics were found to be reliable and universal.
However, thermodynamics cannot make predictions of the properties for any specific systems. On the other hand, statistical mechanics starts with the fact that a macroscopic system is made up by an extremely large number of microscopic particles. It is the application of statistics and probability theory to the understanding of many-body problems in macroscopic systems based on mechanics, both classical and quantum. It has two goals. First, statistical mechanics helps us to understand the macroscopic laws of thermodynamics. Second, it allow us to calculate macroscopic properties such as the specific heat, dielectric constant, magnetic susceptibility, and equation of state. It does so by providing us with techniques that, starting from a microscopic description in terms of the Hamiltonian, lead to the calculation of experimentally observable macroscopic properties. Therefore, statistical mechanics acts as a bridge between the microscopic world of atoms and the macroscopic world of observable physical and chemical properties.
The major goal of this course is to learn the fundamentals of statistical mechanics.
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課程要求 |
The students should have already taken the following courses before:
(1) Thermal physics and (2) Quantum physics or Modern physics. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
The course will be largely based on the text book titled "Statistical Mechanics" by R. K. Pathria and Paul D. Beale (Academic Press, 2011, 3rd edition, 全華圖書, 02-2262-5666 extn. 160) as well as my lecture notes and hand-outs. |
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參考書目 |
Other principal reference books include:
[1] Statistical Mechanics by Kerson Huang (Butterworth-Heinimann, Oxford 1996, 2nd edition)
[2] Thermodynamics and Statistical Mechanics by Walter Greiner, Ludwig Neise and Horst Stocker (Springer, 2004)
[3] Equilibrium Statistical Physics by M. Plischke and B. Bergersen (Prentice Hall, 1989). |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
2/20, 2/22 |
1. Statistical Basis of Thermodynamics |
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Week 2 |
2/27, 3/1 |
(2/27: holiday, no class); 2. Elements of Ensemble Theory |
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Week 3 |
3/6, 3/8 |
2. Elements of Ensemble Theory |
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Week 4 |
3/13, 3/15 |
3. Canonical Ensemble Theory |
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Week 5 |
3/20, 3/22 |
3. Canonical Ensemble Theory; 4. Grand Canonical Ensemble |
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Week 6 |
3/27, 3/29 |
4. Grand Canonical Ensemble |
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Week 7 |
4/3, 4/5 |
Holidays, no class this week. |
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Week 8 |
4/10, 4/12 |
Tutorial Class (TAs: 4/10); Mid-term exam (4/12). |
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Week 9 |
4/17, 4/19 |
5. Formulation of Quantum Statistics |
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Week 10 |
4/24, 4/26 |
5. Formulation of Quantum Statistics; 6. Theory of Simple Gases |
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Week 11 |
5/1, 5/3 |
6. Theory of Simple Gases |
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Week 12 |
5/8, 5/10 |
7. Bose Systems |
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Week 13 |
5/15, 5/17 |
7. Bose Systems; 8. Fermi Systems |
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Week 14 |
5/22, 5/24 |
8. Fermi Systems |
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Week 15 |
5/29, 5/31 |
9. Elements of Phase Transitions |
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Week 16 |
6/5, 6/7 |
9. Tutorial Class (TAs: 6/5); Final exam (6/7) |
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