Thermodynamics and Statistical Mechanics Page

Here are presented my papers on Thermodynamics and Statistical Mechanics.

Practice with partial derivatives Uses the inverse partial law and the Triple Product Rule. This is a useful practice exercise.

Here we have a couple solved problems in specific heats

Specific Heats Problem 1. Specific Heats Problem 2.

This is the first of my notes on the 2013 version of the video series that Leonard Susskind presented on Statistical Mechanics for his Stanford Lecture Series. (He also made a 2009 video series on the same topic.) They can be found on Youtube.
Leonard Susskind is a professor of physics at Stanford University. I have produced for myself a series of notes on each lecture, which I'll share with my viewership. However, these notes are far from being comprehensive. Though sparse, they do contain most of the important definitions, formulas, and results needed to follow the subject matter as it is presented in the video lectures.
The Series Introduction
Chapter 1: Introducing probability theory.
Chapter 2: Entropy and heat flow.
Chapter 3: Entropy and energy.
Chapter 4: The Partition Function and the average energy of an ideal gas.
Chapter 5: The ideal gas law from scratch. (I've included my own structured
differentiation proof of a tricky lemma from thermodynamics used to set up the whole thing.)
Chapter 6: Beyond the ideal gas law: weakly interacting gas particles.
Chapter 7: The speed of sound in a gas.
Chapter 8: Introducing the Ising Model.
Chapter 9: More on the Ising Model: Phase changes.
Chapter 10: Using the Ising Model as an analogy to gas-liquid phase change.

Supplementary lecture notes from Susskind's 2009 lectures:
Chapter 5: This time we look at an almost ideal gases, in that these particles have some internal structure to account for.
Chapter 7: This time we look at Black-Body energy.