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\title{Superconductivity - Assignment 2}
\author{
	Kees van Kempen (s4853628)\\
	\texttt{k.vankempen@student.science.ru.nl}
}
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\begin{document}

\section{Temperature dependence in Landau model}
In the Landau model, free energy is given as function of order parameter $\psi$ and temperature $T$ as
\[
	\mathcal{F} = a(T - T_c) \psi^2 + \frac{\beta}{2}\psi^4.
\]

To find the equilibrium value with respect to the order parameter $\psi_0(T)$,
we need to equate the derivatives with respect to both $T$ and $\psi(T)$ to zero.

\[
	0 = \frac{\delta\mathcal{F}}{\delta\psi} = \frac{\partial \mathcal{F}}{\partial \psi} - \nabla \cdot \frac{\partial \mathcal{F}}{\partial (\nabla \psi)}
\]

Now we seek the Q = TdS, C = dQ/dT = T dS/dT
For the entropy, we know
\[
	S = -\pfrac{}
\]
\section{Type-I superconducting foil}

\section{Type II superconductors and the vortex lattice}

\section{Currents inside type-II superconducting cylinder}

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%\appendix

\end{document}