Topics in Statistic Mechanics

Adv. Sta. Phy. Homework 2 Blume-Capel Model Li,Zimeng PB06203182
0 1 2 3
Fig 3.1
Alternatively, we can also draw the picture of f with respect to M to catch the critical
point.
[1] Ising Model with
When
the Blume-Capel model just corresponds to Ising model without outfield
Since
of
series in x
in the free energy is positive.
(through Taylor expansion at M when =0)
,we notice that the coefficient
If
, the only minimum of free energy is at M=0, this corresponds to
paramagnetic phase.
If , the minimum can be found in two places, and , which means the