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Explain why the entropy is non-nul

  • Thread starter romeo31415
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  • #1

Homework Statement


Bonjour,

Given the hamiltonian

image.png

Show that
image.png



The Attempt at a Solution


image.png
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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
 

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Answers and Replies

  • #2
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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.
 
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