This problem was fun. I really banged my head against part e until I remembered some very basic stuff about phase transitions...
[edit: I guess we're not supposed to post solutions, so here's what I did watered down]
I think it suffices to consider the average energy of a single A-B pair and...
I'm starting grad school in physics at UIUC this fall and I'm really agonizing over course selection. In particular I'm not sure whether to take Quantum Mechanics or Quantum Field Theory.
I want to do Condensed Matter Theory, and learning QFT would probably make it easier to find someone to...