It is possible to show that the mean magnetization is given by (for temperature below \( T_C \)) $$ \begin{equation*} \langle {\cal M}(T) \rangle \sim \left(T-T_C\right)^{\beta}, \end{equation*} $$ where \( \beta=1/8 \) is a so-called critical exponent. A similar relation applies to the heat capacity $$ \begin{equation*} C_V(T) \sim \left|T_C-T\right|^{-\alpha}, \end{equation*} $$ and the susceptibility $$ \begin{equation*} \chi(T) \sim \left|T_C-T\right|^{-\gamma}, \end{equation*} $$ with \( \alpha = 0 \) and \( \gamma = -7/4 \).