A solid contains N magnetic atoms having spin 1/2. At sufficiently high temperatures each spin is completely randomly oriented. At suffi- ciently low temperatures all the spins become oriented along the same di- rection (i.e., Ferromagnetic). Let us approximate the heat capacity as a function of temperature T by -1) if T,/2
A solid contains N magnetic atoms having spin 1/2. At sufficiently high temperatures each spin is completely randomly oriented. At suffi- ciently low temperatures all the spins become oriented along the same di- rection (i.e., Ferromagnetic). Let us approximate the heat capacity as a function of temperature T by -1) if T,/2
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A solid contains N magnetic atoms having spin 1/2. At sufficiently
high temperatures each spin is completely randomly oriented. At suffi-
ciently low temperatures all the spins become oriented along the same di-
rection (i.e., Ferromagnetic). Let us approximate the heat capacity as a
function of temperature T by
27
C1
-1) if T1/2 <T < T1
C(T) =
otherwise,
where T, is a constant. Find the maximum value c, of the specific heat
(use entropy considerations).
(UC, Berkeley)
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