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ass1: Be assertive about that damn transition!

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Kees van Kempen
2022-02-18 08:53:50 +01:00
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superconductivity_assignment1_kvkempen.tex
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@ -165,8 +165,8 @@ As can be seen in the magnetization graph on the bottom-right of figure \ref{fig
the magnetization is continuous over the temperature, thus no first-order phase transition is observed. the magnetization is continuous over the temperature, thus no first-order phase transition is observed.
A second-order phase transition, however, does take place at $H_{c1}$, A second-order phase transition, however, does take place at $H_{c1}$,
and is due to a discontinuity in $\chi = \frac{d^2F}{dH^2}$. and is due to a discontinuity in $\chi = \frac{d^2F}{dH^2}$.
The transition from the vortex to the normal state is also of second order.\footnote{Sources on this seem hard to find. The magnetization graph seems continuous, so a second-order transition seems plausible. By describing the transition as the disappearance of the order parameter $M$, it can be seen that there indeed is a true phase transition.} The transition from the vortex to the normal state is also of second order,
as the magnetization graph is continuous but the magnetization (order paramater) disappears above $H_{c2}$.
\bibliographystyle{vancouver} \bibliographystyle{vancouver}
\bibliography{references.bib} \bibliography{references.bib}