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| -rw-r--r-- | main.tex | 2 |
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@@ -270,6 +270,8 @@ diagrams for this model are shown in Figure \ref{fig:phases}. \label{fig:phases} \end{figure} +We will now proceed to derive the effective strain stiffness tensor $\lambda$ that results from the coupling of strain to the \op. The ultimate result, in \eqref{eq:elastic.susceptibility}, is that $\lambda_\X$ only differs from its bare value for the symmetry $\X$ of the order parameter. To show this, we will first compute the susceptibility of the \op, which will both be demonstrative of how the stiffness is calculated and prove useful in expressing the functional form of the stiffness. Then, we will compute the strain stiffness using some tricks from functional calculus. + The susceptibility of the order parameter to a field linearly coupled to it is given by \begin{equation} \begin{aligned} |