the_lumberjacks
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the_lumberjacks [2014/06/11 15:05] warren |
the_lumberjacks [2014/06/11 15:47] (current) warren |
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| T_{9} (t) = T_{9}^{init} exp(-t/\tau_{dyn}) | T_{9} (t) = T_{9}^{init} exp(-t/\tau_{dyn}) | ||
| \end{equation} | \end{equation} | ||
| - | where $\rho_{init}$ and $T_{9}^{init}$ are the initial density and temperature (in units of $10^{9}$K). The dynamical timescale $\tau_{dyn}$ and was taken to be 15ms. | + | where $\rho_{init}$ and $T_{9}^{init}$ are the initial density and temperature (in units of $10^{9}$K). The dynamical timescale $\tau_{dyn}$ was taken to be 15ms. |
| - | The deceleration by the reverse shock alter the density and temperature evolution from the previously assumed homologous behavior. We assume that the deceleration occurs at time $t_{0}$ and the density and temperature reach values $\rho_{0}$ and $T_{0}$ after the shock. The density and temperature decline less steeply than the previous exponential behavior, | + | The deceleration by the reverse shock alter the density and temperature evolution from the previously assumed homologous behavior. We assume that the deceleration occurs at time $t_{0} = 60$ms and the density and temperature reach values $\rho_{0}$ and $T_{0}$ after the shock. The density and temperature decline less steeply than the previous exponential behavior, |
| \begin{equation} | \begin{equation} | ||
| \rho(t) = \rho_{0} \left(\frac{t}{t_{0}}\right)^{-2} | \rho(t) = \rho_{0} \left(\frac{t}{t_{0}}\right)^{-2} | ||
| Line 36: | Line 36: | ||
| \end{equation} | \end{equation} | ||
| - | The free parameters in these trajectories are the initial temperatures and densities as well as the electron fraction. | + | The free parameters in these trajectories are the initial temperatures and densities as well as the electron fraction. The initial temperature of 37Gk and initial density of $1\times 10^{9}$ g/cm${^3}$. The electron fraction was given values of 0.42, 0.44, 0.46, 0.48, and 0.50. |
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| + | We started the network calculation when the temperature reaches 10GK. This is a safe approximation since above this temperature, the material will be in Nuclear Statistical Equilibrium and the evolution of the abundances will not be set by the thermal history. We used a network of 4510 isotopes, ranging from free nucleons to fermium (Z=100). | ||
| ===== References ===== | ===== References ===== | ||
the_lumberjacks.1402513518.txt.gz · Last modified: 2014/06/11 15:05 by warren
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