Ensembles

Question 1

Ensemble

Answer 1

System with specified parements is replicated many times, allows for an average at a single time point to be calculated

Question 2

Microcannonical ensemble

Answer 2

N, V, E all common, no energy exchange between systems

Question 3

Canonical ensemble

Answer 3

N, V, T common among all systems, energy can flow between systems but total energy remains constant

Question 4

Q

Answer 4

Canonical partition function

Question 5

Fluctuations from most probable distribution

Answer 5

Competition between density and probability of states, density of states steeply rises as energy increases but probability to have a given energy decreases exponentially as the energy increases

Question 6

Relationship between Q and q for non interacting molecules

Answer 6

Indistinguishable noninteracting molecules, Q = q^N/N!
Noninteracting distinguishable molecules Q = q^N

Question 7

Indistinguishable molecules

Answer 7

Free moving eg gas of liquid

Question 8

Distinguishable particles

Answer 8

Molecules in crystalline lattices