Solutions to Physics 6562 Homework 9
(Dated: 2012 Spring)
Problem 1. Longitudinal, transverse and Goldstone mode Consider the Landau-Ginzburg (LG) free energy functional, [ ] K t F [m(x)] = dd x (m)2 + m2 + um4 2 2 where m2 = |m|2 and (m)2 = i (mi )2 for
Solutions to Physics 6562 Homework 1
(Dated: 2012 Spring)
Problem 1. Time evolution of phase space density (a) Show that + [, H]P B = 0 implies the following conservation law for incompressible gas for the phase space t density as stated in the class: d +
Solutions to Physics 6562 Homework 8
(Dated: 2012 Spring)
Problem 1. Bragg-Williams theory for an Ising ferromagnet (a) Find the expectation value of and hence the total magnetization, M and the energy E H in terms of m, J, z, N . From the approximate Ham
Cornell University, Physics Department
PHYS-6562 Statistical Physics
Spring 2012
Prof. Eun-Ah Kim
Midterm Exam Spring 2012
Due 9am, Monday Mar 19th, 2012. Hand in under Prof. Kims oce door (507 Clark).
References
You are only allowed to use the following
Solutions to Physics 6562 Midterm Exam
(Dated: 2012 Spring)
Problem 1. Curie susceptibility and de-mag fridge (partially Kardar 4.8) - 7pt (a) Calculate the Gibbs partitions function Z(T, B). Since there are no interactions between spins, H = 0. The Gibbs
Solutions to Physics 6562 Homework 7
(Dated: 2012 Spring)
Problem 1. Coin flips and Markov (Sethna 8.3) (The title of this exercise was a mistake. I was mixing up "Waiting for Godot", by Samuel Becket, with "Rosencrantz & Guildenstern Are Dead", by Tom St
Solutions to Physics 6562 Homework 6
(Dated: 2012 Spring)
Problem 1. Mixed state and canonical ensemble Show that the diagonal entries of the matrix defined in Eq(213) of the lecture notes upon diagonalization will satisfy the conditions for it to be a pr
Solutions to Physics 6562 Homework 4
(Dated: 2011 Spring)
Problem 1. Boltzmann equation and H-theorem Making the use of the gain and loss picture, let's use concept of scattering to do the collision integral. t f1 (, p, t) + f1 (, p, t) = G - L. q v q Usi
Solutions to Physics 6562 Homework 2
(Dated: 2012 Spring)
Problem 1. Multiplicity for a large system Consider two systems A and B each containing N identical quantum harmonic oscillators, sharing a total of q units of energy in addition to the total zero