Week 2

Question 1

How is an ensamble average computed?

Answer 1

Question 2

What is the Metropolis(-Hastings) algorithm?

Answer 2

Question 3

In an Ising model without interactions, what are the two main outcomes?

Answer 3

Question 4

What is the partition function in a model without interaction? (Ising model)

Answer 4

Question 5

What is the free energy in a Ising model without interaction? What is the free energy per spin?

Answer 5

Question 6

In an Ising model with no external field, when does sponaneos magnatization occur? (but spins do interact with each other)

Answer 6

Question 7

What is the master equation?

Answer 7

Question 8

What is the detailed balance equation?

Answer 8

Question 9

What is the idea of spontaneous magnetization?

Answer 9

Question 10

What is the magnetization per spin?

Answer 10

Question 11

What is phase control in the Ising model?

Answer 11

Question 12

What is a 1D Ising model?

Answer 12

Question 13

What is the partition function of the 1D Ising model?

Answer 13

Question 14

What is the average magnetization? (1D Ising)

Answer 14

Question 15

What is the spin-spin correlation function?

Answer 15

Question 16

What is the formula for susceptibility?

Answer 16

Question 17

What is the Fluctuation-dissipation theorem?

Answer 17