Nathan Davies
Oct22-08, 07:51 PM
1. The problem statement, all variables and given/known data
The entropy in the microcanonical ensemble is defined in terms of omega(E), the number of states such that total energy be E. compute (as a function of total energy E,total number of particles N and magnetic field h) N+ the number of particles i with sigma= +1 and N- where sigma = -1
2. Relevant equations
E is bounded by E<= uhn
sigma +-1= i............N
3. The attempt at a solution
knowing that omgea(E)= N!/N+!.N-!
and N=N+N- where N=q
E= -uhq = -uh(N+-N-)
i worked out omega(E)=N!/(N/2-E/2uH)!.(N/2+E/2uH)!
is this right? or evening what the questions is asking for in the first part?
and i have no idea what to do for the second part using the sigmas could someone please help.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
The entropy in the microcanonical ensemble is defined in terms of omega(E), the number of states such that total energy be E. compute (as a function of total energy E,total number of particles N and magnetic field h) N+ the number of particles i with sigma= +1 and N- where sigma = -1
2. Relevant equations
E is bounded by E<= uhn
sigma +-1= i............N
3. The attempt at a solution
knowing that omgea(E)= N!/N+!.N-!
and N=N+N- where N=q
E= -uhq = -uh(N+-N-)
i worked out omega(E)=N!/(N/2-E/2uH)!.(N/2+E/2uH)!
is this right? or evening what the questions is asking for in the first part?
and i have no idea what to do for the second part using the sigmas could someone please help.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution