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Microcanonical ensemble question

  1. Oct 22, 2008 #1
    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
  2. jcsd
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