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Cato edited Payam.tex
almost 11 years ago
Commit id: a993baf4c735feeb66f464edba256fd86a928cd8
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\begin{enumerate}
\item I want to try to do a better job than Payam's scaling argument: what are the coefficients in the ``$\# \ll 1$'' relationship? This might be interesting because of a problem acknowledged in Payam's other paper: his predictions do not fit the experimental data.
\item Dimensional analysis argument not fully understood: I
think guessed $t_{\rm h}\sim \ell/c_{\rm s}$ on physical grounds, but Payam says $t_{\rm h}\sim \ell^2\rho/\eta$ from dimensional analysis. What is the interpretation of Payam's $t_{\rm h}$?
Are the two compatible?
%
\begin{itemize}
\item The two $t_{\rm h}$s are measuring different things. Payam's $t_{\rm h}$ is considering the {\it diffusion }of a particle's momentum: the characteristic time in the velocity autocorrelation. My $t_{\rm h}$ is about information flow via sonic waves: this is much smaller than the vorticity time-scale.\\