課程名稱 |
高等物理化學一 Advanced Physical Chemistry (Ⅰ) (chem. Thermodynamics) |
開課學期 |
101-1 |
授課對象 |
理學院 化學所化學組 |
授課教師 |
許昭萍 |
課號 |
Chem7031 |
課程識別碼 |
223 M1310 |
班次 |
|
學分 |
3 |
全/半年 |
半年 |
必/選修 |
必修 |
上課時間 |
星期三6,7,8(13:20~16:20) |
上課地點 |
化121 |
備註 |
本課程中文授課,使用英文教科書。外系所學生選修需經授課教師同意。 限碩士班以上 總人數上限:50人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1011Chem7031_8031 |
課程簡介影片 |
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
課程概述 |
Thermodynamics is a subject that investigate the relationship among macroscopic observables; while statistical mechanics . In the first part of this course, we will review quickly the basic thermodynamics and then move to the ensemble theory of statistical thermodynamics. With these, we will then talk about applications of the basic principles to ideal gases, classical and quantum, and solids. In the second part of this course, other topics such as Monte-Carlo simulation, renormalization group, classical simple liquids and non-equilibrium phenomenon will be addressed.
|
課程目標 |
This course aims to introduce basic concepts of equilibrium statistical mechanics for physical chemistry in the graduate level. |
課程要求 |
|
預期每週課後學習時數 |
|
Office Hours |
|
指定閱讀 |
|
參考書目 |
References:
2. Statistical Mechanics, Donald Allan McQuarrie, University Science Books; 2
edition.
3. States of Matter, David L. Goodstein.
4. Thermal and Statistical Physics, Harvey Gould and Jan Tobochnik.
5. Statistical Physics of Particles, M. Kardar. |
評量方式 (僅供參考) |
|
週次 |
日期 |
單元主題 |
第1週 |
9/12 |
Class setup.
Introductory information.
Basic probability and statistics: Binomial distribution, Gaussian distribution. |
第2週 |
9/19 |
Basic probability and statistics: Gaussian distribution, Poisson distribution.
Classical Mechanics |
第3週 |
9/26 |
Classical Statistical Mechanics</br>
Microcannonical ensemble |
第4週 |
10/03 |
Special topic: Legendre transformation</br>
from http://arxiv.org/abs/0806.1147</br>
Mcrocannonical ensemble</br>
Cannonical ensemble |
第5週 |
10/10 |
Holiday,No class |
第6週 |
10/17 |
Thermodynamic quantities and their relationships to statistical ensembles
Cannonical ensemble |
第7週 |
10/24 |
other ensemble, applications to molecules and reactions |
第8週 |
10/31 |
No class (Due to Cherri's work schedule) |
第9週 |
11/07 |
Isobaric Ensemble and applications |
第10週 |
11/14 |
Midterm |
第11週 |
11/21 |
Grand Canonical ensemble; Quantum mechanics and statistics |
第12週 |
11/28 |
Free energy calculation </br>Quantum mechanics and statistics </br>
---------------------------------------------------</br>
PS5 out</br>
Lecture 11, <a href="http://www.nyu.edu/classes/tuckerman/stat.mech/lectures.html">Tuckerman's lecture notes</a><a href="http://www.nyu.edu/classes/tuckerman/stat.mech/lectures.html"> </a></br>
<a href="http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qm.html">The Postulates of Quantum Mechanics </a></br>
Chapters 9-10, Tuckman's book. |
第13週 |
12/05 |
Quantum statistics</br>(Chapter 10-11)</br>(Mc Quarrie's book, chapter 6)</br>(materials from Gaussian Inc.)</br>
Nonequilibrium Statistical Mechanics
-Brownian motion </br>
Will use Zwanzig's book "Nonequilibrium Statistical Mechanics".</br>
---------------------------------------------</br>
PS5 due (Sodia Grades) </br>
PS6 out</br>
<a href="http://idv.sinica.edu.tw/berrylab/courses/statmech101/h2o.com">Input</a> and <a href="http://idv.sinica.edu.tw/berrylab/courses/statmech101/h2o.log">output</a> files for the Gaussian job used in PS6. |
第14週 |
12/12 |
Nonequilibrium Statistical Mechanics
-Stochastic processes: Langevin Equation |
第15週 |
12/19 |
Nonequilibrium Statistical Mechanics</br>
-Generalized Langevin Equation</br>
-Reaction rates</br>
-------------------------------------</br>
PS7 out</br>
Eli Pollak's work on Kramer's theory.</br>
Chapters 1,2 and 4 of Zwanzig's book. (Ceiba) |
第16週 |
12/26 |
Nonequilibrium Statistical Mechanics -Fluctuation-Dissipation Theorem |
第17週 |
1/02 |
Stochastic theory of nonequilibrium steady states in reaction kinetics |
第18週 |
1/09 |
Final Exam |
|