Advanced Statistical Mechanics Fall 2006

Problem Set #2

1. Problem 2.2
2. Problem 2.4
3. Problem 2.5
4. Problem 2.6
5. a) Show that the entropy is a concave function of its extensive variables and find the stability conditions for exchanges of E and V. (Note S=S(E,V,N).)

b) Show that the Gibbs potential is a concave function of p and T.