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Greg Dobler edited CAR Generation.tex
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\subsection{CAR Generation}
\label{sec:car}
The optical light curve of quasars are generated by fluctuations in the brightness of the accretion disk with structure in the time series on the order of days [REFS]. Since these fluctuations are coherent, the implication is that the size of the accretion disk is roughly $R_{\rm src} \sim 10^{16}$ cm.
\begin{equation}
X(t) = e^{-t/\tau} X(0) + b\tau(1-e^{-t/\tau}) + \sigma\int_{0}^{t} e^{-(t-s)/\tau} dB(s)
\end{equation}