Microcanonical ensemble with four spin 1

[souvik.manoj]

Four spin1 particles are rigidly fixed at four corners of a square.
1. What will be the entropy.
2. A field is now applied that produces an energy difference between m=0 and m=1,-1 states of each of each particle. Take m=0 as the ground state and find the free energy at temperature T.
3. Find the condition for which result from (1) matches with that of (2).

 

[malawi_glenn]

show work done before getting help. Read the rules before posting also =)