
\sect{Scaling form for the free energy}

%Baruch's  C27

Given a free energy with the homogenous form
\[ F=t^{2-\alpha}f(t/h^{1/\phi})\]
where $h$ is the magnetic field and $t=(T-T_c)/T_c$.
\begin{itemize}
\item[(a)] Show that $\alpha$ is the conventional critical exponent of the
specific heat.
\item[(b)] Express the conventional $\beta, \, \delta$ exponents
in terms of $\alpha, \, \phi$ and show that
$2-\alpha=/beta(\delta+1$.\\
\end{itemize}

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