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教學大綱
| 1 |
概論 |
| 2 |
輸送係數 – Green Kubo關係式 |
| 3 |
密度函數與自相關 波茲曼方程式
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| 4 |
Navier-Stokes 方程組 |
| 5 |
碰撞及輸送模式 |
| 6 |
流體輸送 -- 分子動力學模擬 |
| 7 |
輻射傳輸 --蒙地卡羅模擬 |
| 8 |
線性反應理論 |
| 9 |
微觀與巨觀耦合(多重尺度模式建構) |
| 10 |
固態與軟物質 |
| 11-14 |
應用實例特論 |
| 15 |
課堂報告 |
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以上主題將於課堂講授，課堂講稿會公佈於網站。
本課程會有一些作業習題、一次筆試(8週後)、期末交一份報告(含上台說明)及一次口試。
參考資料
Boon, J. P., and S. Yip. 《分子流體力學》(Molecular Hydrodynamics) McGraw-Hill, 1980, Dover edition, 1990.
McQuarrie, D. A. 《統計力學》(Statistical Mechanics) Harper & Row, 1976.
Duderstadt, J. J., and W. R. Martin. 《輸送理論》(Transport Theory) Wiley, 1979.
Bird, R. B., W. E. Stewart, and E. N. Lightfoot. 《輸送現象》(Transport Phenomena). Wiley, 1960.
Lecture Outline
| 1 |
Overview |
| 2 |
Transport Coefficients - Green Kubo Relations |
| 3 |
Density and Self Correlations, Botlzmann Equation |
| 4 |
Navier-Stokes Equations |
| 5 |
Collisions and Transport Models |
| 6 |
Fluid Transport - Molecular Dynamics Simulations |
| 7 |
Radiation Transport - Monte Carlo Methods |
| 8 |
Linear Response Theory |
| 9 |
Micro/Macro Coupling (Multiscale Modeling) |
| 10 |
Solids and Soft Matter |
| 11-14 |
Special Topics to Illustrate Diverse Applications -- Subject to Class Interest |
| 15 |
Class Presentation |
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Subject will be taught through class lectures. Written lecture notes will be posted on the server.
There will be a few problem sets, a written quiz (after week 8), and at the end of the term a term project (with presentation) and an oral exam.
General References
Boon, J. P., and S. Yip. Molecular Hydrodynamics. McGraw-Hill, 1980, Dover edition, 1990.
McQuarrie, D. A. Statistical Mechanics. Harper & Row, 1976.
Duderstadt, J. J., and W. R. Martin. Transport Theory. Wiley, 1979.
Bird, R. B., W. E. Stewart, and E. N. Lightfoot. Transport Phenomena. Wiley, 1960.
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