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Flaviu Cipcigan edited magnetoresistance.tex
over 10 years ago
Commit id: 13c1326a1bb20970ce25a6fb90b73127e722b85a
deletions | additions
diff --git a/magnetoresistance.tex b/magnetoresistance.tex
index dc3f8ad..d026416 100644
--- a/magnetoresistance.tex
+++ b/magnetoresistance.tex
...
\end{equation}
is the cyclotron frequency. Writing equation \eqref{eq:simplified-eomB} in components and solving for $j_x$ and $j_y$ gives:
\begin{equation}
\begin{split} j_x
&= = \frac{\sigma_0}{1 + (\omega_\textrm{c} \tau)^2} E_x + \frac{\sigma_0 \omega_\textrm{c} \tau}{1 + (\omega_\textrm{c} \tau)^2} E_y
\\ \label{eq:currentx-B}
\end{equation}
\begin{equation}
j_y
&= = -\frac{\sigma_0 \omega_\textrm{c} \tau}{1 + (\omega_\textrm{c} \tau)^2} E_x + \frac{\sigma_0}{1 + (\omega_\textrm{c} \tau)^2} E_y
\end{split}
\label{eq:current-B} \label{eq:currenty-B}
\end{equation}