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Problem 3.23. Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[ln(2 cosh x) – x tanh r], where r = µB/kT. Check that this formula has the expected behavior as T 0 and T o.

Problem 3.23. Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[ln(2 cosh x) – x tanh r], where r = µB/kT. Check that this formula has the expected behavior as T 0 and T o.

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change if you varied the magnetic field strength. Problem 3.23. Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[In(2 cosh r) - x tanh r], where r = Check that this formula has the expected behavior as T 0 and T → ∞o. B/kT. %3D |
Transcribed Image Text:change if you varied the magnetic field strength. Problem 3.23. Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[In(2 cosh r) - x tanh r], where r = Check that this formula has the expected behavior as T 0 and T → ∞o. B/kT. %3D |
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