Week 1

Question 1

What is the definition of a phase?

Answer 1

Question 2

What is a phase in macro- and microscopic scale?

Answer 2

Question 3

What are the three types of important points of phase diagrams?

Answer 3

Question 4

What are the Free Energy, Enthalpie and Gibbs free energy equations?

Answer 4

Question 5

What does thermodynamic potential mean?

Answer 5

Question 6

What is a phase transition?

Answer 6

Question 7

What are the two orders of phase transitions?

Answer 7

Question 8

What is a discontinuous phase transition?

Answer 8

Question 9

What are continuous phase transitions? What are critical phenomena?

Answer 9

Question 10

What are the Ehrenfest classification of phase transitions?

Answer 10

Question 11

What are Paramagnetic and Ferromagnetic materials?

Answer 11

Question 12

How is the magnetism modeled?

Answer 12

Question 13

What is the Heisenberg model?

Answer 13

Question 14

What is the Ising model? How does it work?

Answer 14

Question 15

How is the state probability modeled in the Ising model?

Answer 15

Question 16

What is the partition function of the Ising model? How is the Free Energy modeled?

Answer 16

Question 17

What is the formula of the Poisson process?

Answer 17

Question 18

How is the Poisson process distributed for a very short time dt?

Answer 18

Question 19

What is the exponential distribution?

Answer 19

Question 20

What is statistical mechanics?

Answer 20

Question 21

What are macroscopic observables? What is their expectation?

Answer 21

Question 22

What is Gibbs postulate?

Answer 22

Question 23

What is the total magnetization per spin?

Answer 23

Question 24

What is the formula for average energy in the system? What is the formula for total magnesiumtisation?

Answer 24

Question 25

What is Macroscopic irreversibility?

Answer 25

Question 25

What is the 2nd postulate of thermodynamics?

Answer 25

Question 26

What is entropy?

Answer 26

Question 27

What is Boltzman entropy?

Answer 27

Question 28

What is the formula for Shannon entropy?

Answer 28

Question 29

What does the Shannon entropy imply? (What does its maximum mean? What does the minimum mean?)

Answer 29

Question 30

What is the Shannon entropy for an isolated system?

Answer 30

Question 31

What is the formula for the Boltzman distribution? What is it used for?

Answer 31

Question 32

What does the Boltzman distribution imply? i.e., what does it mean for the likelyhood of situations with the same or less energy?

Answer 32

Question 33

What is the minimal energy in an Ising model?

Answer 33

Question 34

What is the statistical description of Free Energy? And how is it derived?

Answer 34

Question 35

What are the interesting quantities of an Ising model (that is more generalized)?

Answer 35