Chemistry 444
Elementary Statistical Mechanics!
Fall 2018
Northwestern University
- Instructor: Todd Gingrich
- Office: Ryan 4018
- Office Hours: Mondays 11 am, Tuesdays 3:30 pm
- Telephone: 847-491-4048
- Email: todd.gingrich@northwestern.edu
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- Lecture: Tech L158
- Time: TuTh 9:30-11am
- Recommended text: David Chandler, Introduction to Modern Statistical Mechanics.
- Additional resources: Frederick Reif, Fundamentals of Statistical and Thermal Physics.
- Donald McQuarrie, Statistical Mechanics.
- Benjamin Widom, Statistical Mechanics: A Concise Introduction for Chemists.
- Ken Dill and Sarina Bromberg, Molecular Driving Forces: Statistical Thermodynamics in Biology, Chemistry, Physics, and Nanoscience.
- Daan Frenkel and Berend Smit, Understanding Molecular Simulation: From Algorithms to Applications.
- Herbert Callen, Thermodynamics and an Introduction to Thermostatics.
- Hugo Touchette, The Large Deviation Approach to Statistical Mechanics.
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- Midterm Exam: Tuesday, November 6. A template with the set-up of the two problems is available here. Exam solutions are now posted here.
The course syllabus contains additional information about notes, evaluations, collaboration, programming assignments, and a course outline.
On the first day of class I collected email addresses for the course
mailing list. If you would like to be included, please email Todd.
The course website (this site) will be used to post lecture notes, special
notes, homework assignments, and homework solutions.
Lecture notes:
- Thursday, September 27, 2018: Introduction to the course. Random walks and probability. [Notes]
- Tuesday, October 2, 2018: Variance, diffusion, introduction to moment generating functions. [Notes]
- Thursday, October 4, 2018: More generating functions and the central limit theorem. [Notes]
- Tuesday, October 9, 2018: Diffusion constants, equilibration, density fluctuations on a lattice, spatial and temporal averaging. [Notes] [Supplemental Notes]
- Thursday, October 11, 2018: Equal a priori probability, constraints, multiplicity, entropy. [Notes]
- Tuesday, October 16, 2018: More microcanonical discussions and introduction to the Boltzmann distribution. [Notes]
- Thursday, October 18, 2018: Boltzmann distribution, heat capacity. [Notes]
- Tuesday, October 23, 2018: Conditions for macroscopic equilibrium, temperature. [Notes]
- Thursday, October 25, 2018: Pressure, chemical potential, Helmholtz free energy. [Notes]
- Tuesday, October 30, 2018: Connecting partition functions to free energies. [Notes]
- Thursday, November 1, 2018: Work, heat, and the reversible work theorem. [Notes]
- Thursday, November 8, 2018: Reversible work, irreversible work, and dissipation. [Notes]
- Tuesday, November 13, 2018: Crooks fluctuation theorem. [Notes]
- Thursday, November 15, 2018: Introduction to phase transitions. [Notes]
- Tuesday, November 20, 2018: Phase transitions in the Ising model. [Notes]
- Tuesday, November 27, 2018: Introduction to Monte Carlo. [Notes]
- Thursday, November 29, 2018: Markov Chain Monte Carlo. [Notes]
- Tuesday, December 4, 2018: Dynamics, intro to classical MD. [Notes]
- Thursday, December 6, 2018: Verlet, Velocity autocorrelations and Green-Kubo. [Notes]
Homework
assignments
will normally be made available on this website by Thursday of
each week, and will be due at the Thursday of the following week at
the beginning of class. Late work will only be accepted if arrangements
are made in advance or if there are particularly exceptional
circumstances.