Solution Sheet 7 Posted

I have posted the solution sheet to homework 7.

Update (12/02/12): I have posted a revised version of the solution sheet, in which I added a few sentences from the discussions in class. I also corrected the equation citations on the central-limit-theorem problem.

Exposition of Derivation of Boltzmann Equation (and More!)

Chapter 2 of this paper has a nice exposition of the derivation of the Boltzmann equation from the Liouville equation for hard spheres. Chapter 1 has a discussion of the Boltzmann-Grad limit, which we also discussed in lectures. This article looks really nice!

(Tip of the cap to Mark Wilkinson.)

Solution Set 6 Posted

Read the title.

Update (11/24/12): I have posted a revised version of this sheet in which I have corrected a couple of typos and added several additional points. (I added a good deal more in revising this sheet than was the case for prior sheets.)

Solution Set 5 Posted

See the title.

Update (11/16/12): I have posted a revised version. I corrected a typo (discussed in class at 2pm) and added a couple of additional sentences with relevant comments.

Solution Set 4 Posted

Yes, yes it is.

Update (11/10/12): I have posted a revised version in which I corrected a trivial typo and added a few sentences of clarification and description that arose in classes.

Solution Set 3 Posted

Read the title.

Update (11/02/12): I have posted a slightly revised version of the solutions. I fixed a couple of minor typos and added a note at top of problem 6 emphasizing that this is an important problem to revise (and reminding you to compare it to messing around with the volume of a container with an ideal gas).