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Explain why the entropy is non-nul

  1. Jan 23, 2015 #1
    1. The problem statement, all variables and given/known data
    Bonjour,

    Given the hamiltonian

    image.png
    Show that
    image.png


    3. The attempt at a solution
    image.png


    https://mail.google.com/mail/u/0/?ui=2&ik=926d313718&view=fimg&th=14b1676f1c775525&attid=0.4&disp=emb&realattid=ii_14b16759c66f2c07&attbid=ANGjdJ8nHkVansCbZY79hWetamch9gX2IeJFX1IdCsZvvCq0wrrFx61OU_3uTU3s5BodY--fZWORr1KruMhwcc1mUUynX4vyaIqg7Pee2njVuAEpG5rRFC7jNJ4cxBE&sz=w874-h108&ats=1422015353399&rm=14b1676f1c775525&zw&atsh=1

    I cannot explain why S=0
     

    Attached Files:

    Last edited: Jan 23, 2015
  2. jcsd
  3. Jan 25, 2015 #2
    One thing you may be able do for is use the exact solution for the partition function ##Z## of the Ising chain.
    ##S = \partial_T k_B T \ln Z##

    In other situations like this one may be able to start by using ##S = k_B \ln \Omega(T, H) ##, where ##\Omega(T, H) ## is the number of states corresponding to T and H.
     
    Last edited: Jan 25, 2015
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