Tuesday, March 12, 2013

Sensitivity to $A \log (\Lambda)$

I was speaking with Anna yesterday, and we agreed that the reason it's not so easy to write a RIF paper at the present time is because the RIF spectrum (i.e. the observable) is affected by two different unknown quantities: 1) the Mix and 2) uncertainty in the function $\frac{dE}{dx}$ in the strongly coupled limit where we reside.  Either we need to disentangle their effects using an observable that does not have degenerate dependence on the two, or we need to show that one of them is not so important, or we are more or less in trouble.

I know that for the most part, the calculations we have so far of the dependence of the RIF spectra on the form of $\frac{dE}{dx}$ have been done in the static limit.  I know that we have a transport parameter $A \log(\Lambda)$ in our code, which amounts to a dial on the amplitude and roll-over shape of the $\frac{dE}{dx}$ function (of energy) used in the hydro calculation.  I decided to see how dramatic an effect changes in this parameter have on the observable RIF spectrum.

Here is the (pretty undramatic) result:



By the time peak burn is achieved, the cumulative (in time I assume) RIF spectrum depends almost not at all on this $A \log(\Lambda)$ parameter.  Closer investigation shows that the blue and green curves identically coincide, as do the red, teal and magenta.  The difference seems to be entirely governed by the peak burn time, which is slightly earlier in the blue/green case than it is in the red/teal/magenta case.

Perhaps I assumed incorrectly that $\frac{dE}{dx}$ was being used in the computation of the RIF spectrum?  I'm a little puzzled by these results.

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