# Chemistry 444

# Elementary Statistical Mechanics! (in the age of COVID-19)

# Fall 2020

# Northwestern University

- Instructor: Todd Gingrich
- Office: The Internet and possibly Ryan 4018
- Office Hours: Wednesday 4-5 pm CST, Thursday 2:30-3:30 CST, Zoom Link
- Telephone: 510-457-8600
- Email: todd.gingrich@northwestern.edu

- Lecture: Zoom Link
- Time: TuTh 9:40-11am CST

- Midterm Exam: Thursday, November 5.

#### Please consult the course syllabus for course objective and policies.

#### The course website (this site) will be used to post lecture notes, special notes, homework assignments, and homework solutions.

#### Lecture notes:

- Thursday, September 17, 2020: Introduction to the course, dynamics in chemistry, chaos, and ergodicity hypothesis. [Link]

- Tuesday, September 22, 2020: Microcanonical entropy and systems with fluctuating energy. [Link]

- Thursday, September 24, 2020: The Boltzmann distribution. [Link]

- Tuesday, September 29, 2020: Connecting statistical mechanics and thermodynamics. [Link]

- Thursday, October 1, 2020: The canonical ensemble. [Link]

- Tuesday, October 6, 2020: Legendre transforms - connecting partition functions and free energies. [Link]

- Thursday, October 8, 2020: What's partion-y about partition functions? What's free about free energies? [Link]

- Tuesday, October 13, 2020: Reversible work theorem. [Link]

- Thursday, October 15, 2020: Lots of ensembles. [Link]

- Tuesday, October 20, 2020: Pulling on a polymer. [Link]

- Thursday, October 22, 2020: Work fluctuation theorem. [Link]

- Tuesday, October 27, 2020: Ensemble equivalence. [Link]

- Thursday, October 29, 2020: Ensemble equivalence and Gibbs phase rule. [Link]

- Tuesday, November 3, 2020: Phase diagrams. [Link]

- Thursday, November 5, 2020: Ideal gas revisted and mass action. [Link]

- Tuesday, November 10, 2020: Crossovers and phase transitions. [Link]

- Thursday, November 12, 2020: The Ising Model. [Link]

- Tuesday, November 17, 2020: First and second order phase transitions. [Link]

- Thursday, November 19, 2020: Monte Carlo. [Link]

- Tuesday, November 24, 2020: Detailed balance. [Link]

#### Homework assignments
will normally be made available on this website by Thursday of
each week, and will be due on Friday of the following week at 5 pm.
Late work will only be accepted if arrangements
are made in advance or if there are particularly exceptional
circumstances.

- Problem Set 0, due Never! [PlottingDemo.ipynb]

- Problem Set 1, due Friday, September 27 at 5 pm. [BiasedCoinFlips.ipynb] [Solutions]

- Problem Set 2, due Friday, October 2 at 5 pm. [RandomLatticePolymer.ipynb] [Solutions]

- Problem Set 3, due Friday, October 9 at 5 pm. [Solutions]

- Problem Set 4, due Friday, October 16 at 5 pm. [Solutions]

- Problem Set 5, due Friday, October 23 at 5 pm. [Solutions]

- Problem Set 6, due Friday, November 6 at 5 pm. [Solutions]

- Midterm Exam, due Friday, November 13 at 5 pm. [Solutions]

- Assignment 7, due Friday, November 20 at 5 pm.

- Problem Set 8, due Wednesday, November 25 at 11:59 pm. [Ising1D.ipynb] [Ising2DFramework.ipynb] [Solutions]