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Cato edited Payam.tex
almost 11 years ago
Commit id: 7d1dc6e1fb07ff70014edb5d970edeeb841096d0
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\item Dimensional analysis argument not fully understood: I 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 $t_{\rm h}$?
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\begin{itemize} \begin{itemize}[a]
\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.\\
I want to think about {\it which time scale is more appropriate in this context and why?}