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===== Training in Advanced Low Energy Nuclear Theory: EXERCISES ===== | ===== Training in Advanced Low Energy Nuclear Theory: EXERCISES ===== | ||
[[http://www.nucleartalent.org|{{:talent.png?650|Nuclear TALENT}}]] | [[http://www.nucleartalent.org|{{:talent.png?650|Nuclear TALENT}}]] | ||
- | [[RXNnetworkEX|Reaction Networks]], [[HydroEX|Hydrodynamics]],[[BBNEX|BBN]], [[AnlyPlot|Abundances, Analysis and Plotting]], [[NuclPhysInput|Nuclear Physics Input]] | + | **[[RXNnetworkEX|Reaction Networks]]**, **[[HydroEX|Hydrodynamics]]**, **[[BBNEX|BBN]]**, **[[AnlyPlot|Abundances, Analysis and Plotting]]**, **[[NuclPhysInput|Nucl Physics Input]]** |
==== Reaction Network Exercises ==== | ==== Reaction Network Exercises ==== | ||
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- Generate light element abundance predictions for a range of initial baryon-to-photon ratios, $\eta$. | - Generate light element abundance predictions for a range of initial baryon-to-photon ratios, $\eta$. | ||
* Create the "Schramm Plot"{{:schrammplot.jpg?direct&100|Schramm Plot: Please note that these lines have a finite thickness. This thickness denotes the uncertainties from nuclear reaction rates, propagated into the abundance predictions.}} | * Create the "Schramm Plot"{{:schrammplot.jpg?direct&100|Schramm Plot: Please note that these lines have a finite thickness. This thickness denotes the uncertainties from nuclear reaction rates, propagated into the abundance predictions.}} | ||
- | - Repeat with $N_\nu = 4$ and $5$. | + | - Repeat with $N_\nu = 2$ and $4$. |
</box> | </box> | ||
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<box 80% left blue|**(During-Course Assignment)**> | <box 80% left blue|**(During-Course Assignment)**> | ||
- | **Run a reaction network with given nuclear input for:** | + | **Run something:** |
- | - Fixed temperature and density | + | - One thing |
- | * Try various temperatures and densities | + | * different a |
- | * Try different network sizes | + | * different b |
- | * Swap out a reaction rate with a different version | + | - Two things |
- | * Vary initial composition (X, Y, Z or Ye) | + | * different a |
- | * Let evolve until Nuclear Statistical Equilibrium is reached | + | * different b |
- | - Temperature/density trajectories | + | |
- | + | ||
- | * $ T(t) = T(0)\exp{(-t/\tau)} $ | + | |
- | + | ||
- | * or $ T(t) = \frac{T(0)}{(1+t/(n\tau))^n} $ | + | |
- | + | ||
- | * $ \rho (t) = \rho (0) [1.+f_{\nu}(T(t))](T(t)/T(0))^3$ | + | |
- | + | ||
- | + | ||
- | * How do initial conditions affect the resulting nucleosynthesis | + | |
- | * How does the trajectory form affect the results? | + | |
</box> | </box> | ||
- | ~~DISCUSSION|Reaction Network Exercises Discussion~~ | + | ~~DISCUSSION|Big Bang Nucleosynthesis Exercises Discussion~~ |