Topics in Statistic Mechanics

Adv. Sta. Phy. Homework 2 Blume-Capel Model Li,Zimeng PB06203182
symmetry is spontaneously broken. This corresponds to ordered states. See
Figure below:
Fig 3.2
Which states ( or ) is chosen depends on how the limit of
applied field will give rise to some non-zero magnetization. In the ferromagnetic phase
this non-zero magnetization will survive even in the limit of
, the figure is different:
Fig 3.3
We thus conclude there will be a first order phase transition at the point when
is