<markdown>
# 10820PHYS521000
# 統計力學一 Statistical Mechanics (I)

## Instructor
* Prof. Pochung Chen
* R521, Physics building
* pcchen {at} phys {dot} nthu {dot} edu {dot} tw

## Teaching Assistent
* 張宸瑜
* a4201598@gmail.com
* General II building, Room-B13

## Textbooks
Main textbook

* [Statistical Mechanics: Entropy, Order Parameter, and Complexity](http://pages.physics.cornell.edu/~sethna/StatMech/) by James Sethna.

Other references
* An introduction to statistical mechanics and thermodynamics by Robert H. Swendsen.

## Time
* R5R6R7.

## Room
* R019, Physics building.

## Grade (Letter grade)
* Exam-1 (35%)
* Exam-2 (35%)
* Homework (30%)

## YouTube Playlists
* [StatMech-I](https://www.youtube.com/playlist?list=PLSZLOtMnuZEURfN0powCIevh2w2jWQ8Nw)

## LMS
* [統計力學一Statistical Mechanics (I) ](https://lms.nthu.edu.tw/course/45526)
   * [How to turn in your homework online](http://sites.powercam.cc/board.php?courseID=157&f=doc&folderID=0&cid=4597)

## Slack
* [10820phys521000.slack.com](http://10820phys521000.slack.com)

## Syllabus

### Part-1

* Chapter 1: What is statistical mechanics?

* Chapter 3: Temperature and equilibrium
  * 3.1 The microcanonical ensemble
  * 3.2 The microcanonical ideal gas
  * 3.3 What is temperature?
  * 3.4 Pressure and chemical potential
  * 3.5 Entropy, the ideal gas, and phase-space refinements

* Chapter 2: Random walks and emergent properties
  * 2.1 Random walk examples: universality and scale invariance
  * 2.2 The diffusion equation
  * 2.3 Currents and external forces
  * 2.4 ~~Solving the diffusion equation~~

* Chapter 5: Entropy
  * 5.1 Entropy as irreversibility: engines and the heat death of the Universe
  * 5.2 Entropy as disorder
  * 5.3 Entropy as ignorance: information and memory

* Chapter 6: Free energies
  * 6.1 The canonical ensemble
  * 6.2 Uncoupled systems and canonical ensembles
  * 6.3 Grand canonical ensemble
  * 6.4 What is thermodynamics?
  * 6.5 ~~Mechanics: friction and fluctuations~~
  * 6.6 ~~Chemical equilibrium and reaction~~

### Part-2

* Chapter 7: Quantum statistical mechanics
   * 7.1 Mixed states and density matrices
   * 7.1.1 Advanced topic: density matrices.
   * 7.2 Quantum harmonic oscillator
   * 7.3 Bose and Fermi statistics
   * 7.4 Non-interacting bosons and fermions
   * 7.5 Maxwell–Boltzmann ‘quantum’ statistics
   * 7.6 Black-body radiation and Bose
      * 7.6.1 Free particles in a box
      * 7.6.2 Black-body radiation
      * 7.6.3 Bose condensation
   * 7.7 Metals and the Fermi gas
* Chapter 26: Ideal quantum gases (R. H. Swendsen)
* Chapter 27: Bose-Einstein statistics (R. H. Swendsen)
* Chapter 28: Fermi-Dirac statistics (R. H. Swendsen)
* Chapter 11: Abrupt phase transitions
   * 11.1 Stable and metastable phases
   * 11.2 Maxwell construction
* Chapter 17: Phase transitions (R. H. Swendsen)
* Chapter 12: Continuous phase transitions
* Chapter 8: Calculation and model (James Sethna)
* Chapter 30: Phase transition and the Ising model (R. H. Swendsen)

## Exams
* Exam-1
   * 2.1, 2.2, 2.3.
   * 3.1, 3.2, 3.3, 3.4, ~~3.41~~, 3.5
   * 5.1, 5.2, 5.3.
   * 6.1, 6.2, 6.3, 6.4.
   * HW1, HW2, HW3, HW4.
   * Lecture notes.
* Exam-2
   * James Sethna
      * Chapter 7.1 to 7.6
      * Chapter 11.1, 11.2 
   * R. H. Swendsen
      * Chapter 17, 26, 27, 28, 30

### Weekly schedule
* Week 1: 3/5/2020
  * Introduction
  * 3.1 The microcanonical ensemble
  * 3.2 The microcanonical ideal gas
  * [Note](https://www.dropbox.com/s/dpdtkeusbo02mub/StatMech_20200305.pdf?dl=0)
* Week 2: 3/12/2020
  * 3.3 What is temperature?
  * 3.4 Pressure and chemical potential
  * 3.5 Entropy, the ideal gas, and phase-space refinements
  * [Note](https://www.dropbox.com/s/ynwpukw458rbgkq/StatMech_20200312.pdf?dl=0)
* Week 3: 3/19/2020
  * 3.5 Entropy, the ideal gas, and phase-space refinements
  * 2.1 Random walk examples: universality and scale invariance
  * 2.2 The diffusion equation
  * [Note](https://www.dropbox.com/s/ndf0q215henf7iz/StatMech_20200319.pdf?dl=0)
* Week 4: 3/26/2020 [YouTube Live](https://youtu.be/KHi6BaF60LQ)
  * 5.1 Entropy as irreversibility: engines and the heat death of the Universe.
  * 5.2 Entropy as disorder.
  * 5.3 Entropy as ignorance: information and memory.
  * [Note](https://www.dropbox.com/s/x5zszruuexwed7v/StatMech_20200326.pdf?dl=0)
  * HW1 due.
* Week 5: ~~4/2/2020~~ (No class)
* Week 6: 4/9/2020 [YouTube Live](https://youtu.be/_VBNSdmZviA)
  * 6.1 The canonical ensemble.
  * 6.2 Uncoupled systems and canonical ensembles.
  * [Note](https://www.dropbox.com/s/bwy6nv19dun4f2g/StatMech_20200409.pdf?dl=0)
  * HW2 due.
* Week 7: 4/16/2020 [YouTube Live](https://youtu.be/xGiUntNdTMY)
  * 6.3 Grand canonical ensemble.
  * 6.4 What is thermodynamics?
  * [Note](https://www.dropbox.com/s/m0rxi3kr49oin4w/StatMech_20200416.pdf?dl=0)
* Week 8: 4/23/2020 [YouTube Live](https://youtu.be/gSddwIAS-p0)
  * HW3, due.
  * [Note](https://www.dropbox.com/s/0um91t2pufmpedu/StatMech_20200423.pdf?dl=0)
* Week 9: 4/30/2020 [YouTube Live](https://youtu.be/H1VqKfw29-w)
  * HW4 due.
  * [Note](https://www.dropbox.com/s/asmm9tfgy4ypv64/StatMech_20200430.pdf?dl=0)
* Week 10: 5/7/2020
  * **Exam-1**
* Week 11: 5/14/2020
  * Ideal quantum gases (Swendsen)
  * [Note](https://www.dropbox.com/s/myysr68m34efigh/StatMech_20200514.pdf?dl=0)
* Week 12: 5/21/2020
  * HW5 due.
  * Ideal quantum gases (Swendsen)
  * Bose-Einstein statistics
  * [Note](https://www.dropbox.com/s/6okcpturgjghz7b/StatMech_20200521.pdf?dl=0)
* Week 13: 5/28/2020
  * Fermi-Dirac statistics
  * [Note](https://www.dropbox.com/s/g5b05yn4aoqtqne/StatMech_20200528.pdf?dl=0)
* Week 14: 6/4/2020
  * Phase transitions
  * HW6 due.
  * [Note](https://www.dropbox.com/s/7p9q4kcjly7e6up/StatMech_20200604.pdf?dl=0)
* Week 15: 6/11/2020
  * Phase transitions
* Week 16: 6/18/2020
  * HW7 due.
  * **Exam-2**

## Homework
* HW1, due on 3/26/2020
  * Pb 1.4 (v2) Stirling's formula.
  * Pb 3.6 (v2) Connecting two macroscopic systems.
  * Pb 3.10 (v2) Triple product relation.
  * Pb 3.11 (v2) Maxwell relation.
* HW2, due on 4/9/2020
  * Pb 1.2 (v2) Probability distributions.
  * Pb 2.1 (v2) Random walks in grade space.
  * Pb 2.14 (v2) Modified random walk.
  * Pb 2.15 (v2) Diffusion and conserved particles.
  * Pb 5.4 (v2) Black hole thermodynamics.  
* [HW3](http://qubit.phys.nthu.edu.tw/dokuwiki/doku.php?id=10820phys521000-hw3), due on ~~4/16/2020~~ 4/23/2020.
* [HW4](http://qubit.phys.nthu.edu.tw/dokuwiki/doku.php?id=10820phys521000-hw4), due on 4/30/2020.
* [HW5](http://qubit.phys.nthu.edu.tw/dokuwiki/doku.php?id=10820phys521000-hw5), due on 5/21/2020.
* [HW6](http://qubit.phys.nthu.edu.tw/dokuwiki/doku.php?id=10820phys521000-hw6), due on 6/4/2020.
* [HW7](http://qubit.phys.nthu.edu.tw/dokuwiki/doku.php?id=10820phys521000-hw7), due on 6/18/2020.
</markdown>