統計力學
Statistical Mechanics
| 節 | 週五 |
|---|---|
7 15:30–16:20 | 統計力學 ED103（光復） 3 節連堂 |
8 16:30–17:20 | |
9 17:30–18:20 |
* 根據陽明交大上課時間表所列
Statistical mechanics as well as quantum mechanics (i.e., quantum-statistical mechanics) is the basic scholar of modern science and technologies. It may be difficult for anyone to be a premier in nanotechnologies without the precise knowledge of quntum-statistical mechanics. However, statistical mechanics is not regarded as necessary compared with quantum mechanics. However, it is hard to know what phonon is and what the Fermi level is only with knowing quantum mechanics. To know them, quantum-statistical mechanics (i.e., beyond quantum mechanics) is necessary. Statistiacal mechanics is also the basics of the transport phenoena in any area of science and technologies. In particular, the Boltzmann transport equaiton is explained in detail, which is the master equation in nanoelectronics. This class is then an introductory quantum-statistical mechanics for engineering students. NOTE: strongly recommend to attend the Quantum Mecchanics (5082), too.
Physics, Electron devices, Calculus, Linear Algebra
無備註
The lectures will be given in blackboard writing and power point presentation. All reports and questions should be made in English.
學期作業: Lecture, 5 Home Works, Mid-Term Event, Final Report 考試 & 評量(比重%) : Home Work (50%) Mid-Term Event (20%) Final Report (30%)
Kinetic theory of gases
Collision of molecules, Pressure of gas, distribution of velocity, average, mean free path, Boltzmann equation, Transportation phenomena
- 講授：
- 9
Equilibrium system
Concept of probability, Liouville’s equation, Ergodic hypothesis, Ensembles of statistical mechanics
- 講授：
- 6
Micro canonical ensemble
Micro canonical distribution, Boltzmann theory, Entropy and amount of information, Fermi-Dirac statistics, Bose-Einstein statistics
- 講授：
- 9
Canonical ensemble
Canonical distribution, Equipartition law of energy, fluctuation of energy, density matrix
- 講授：
- 9
Grand canonical ensemble
Grand canonical distribution, Partition function, fluctuation of particle counts
- 講授：
- 9
Interaction
Molecular field approximation, Bragg-Williams approximation, Crystal, cluster decomposition, phase transition
- 講授：
- 6
Non-equilibrium
Master equation, Brownian motion, Correlation function, linear response theory
- 講授：
- 6
| 週次 | 主題 |
|---|---|
| 第 1 週 | Guidance |
| 第 2 週 | Prologue (relation to today's engineering and so on) |
| 第 3 週 | Brief Revie of Ideal Gass |
| 第 4 週 | Brief Review of Transport Phenomena |
| 第 5 週 | Concept of Probability in Physical Phenomena |
| 第 6 週 | Fluctuation of physical variables |
| 第 7 週 | Analytical Mechanics |
| 第 8 週 | Mid-Term Event |
| 第 9 週 | Concept of Coarse-Graining (i.e., the meaning of modeling) |
| 第 10 週 | Analogy to Quantum Mechanics |
| 第 11 週 | Micro-Canonical Ensemble (I) -- Introduction |
| 第 12 週 | Micro-Canonical Ensemble (II) -- Derivation |
| 第 13 週 | Micro-Canonical Ensemble (III) -- Expansion to Quantum Statistical Mechanics |
| 第 14 週 | Canonical-Ensemble (II) -- Energy equipartition law and several simplest examples |
| 第 15 週 | Micro-Canonical Ensenble -- Relationship to the establishment of Device Engineering |
| 第 16 週 | Canonical-Ensemble (I) -- Introduction & Derivation |
Reference books 1) L. D. Landau & E. D. Lifshitz, "Statistical Physics", Third Edition, Part 1: Volume 5 2) R. Feynman, R. B. Leighton, and M. Sands, ※The Feynman Lecture on Physics I§, Pearson & Addison-Wesley, 2005. 3) A. S. Grove, "Physics and technology of semiconductor devices", John Wiley & Sons, 1967.
- 地點
- Office: MISRC814 (EIC814) Labo: MISRC810 (ES810)
- 時間
- By email appointment Usually late afternoon (after 4pm)
- 聯絡方式
- hwhpnabe@mail.nctu.edu.tw