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author | hinder <hinder@8e189c6b-2ab8-4400-aa02-70a9cfce18b9> | 2011-10-25 12:38:10 +0000 |
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committer | hinder <hinder@8e189c6b-2ab8-4400-aa02-70a9cfce18b9> | 2011-10-25 12:38:10 +0000 |
commit | d9e90b3e105b206a9802f63ee45512f6773cbe22 (patch) | |
tree | f283f36be297fe9e5d44431e0f9e96a62b40e56a | |
parent | e31cfbc5105a45c2333798ff3404e0447fd6387a (diff) |
documentation.tex: Add braces for htlatex
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinEOS/EOS_Omni/trunk@51 8e189c6b-2ab8-4400-aa02-70a9cfce18b9
-rw-r--r-- | doc/documentation.tex | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex index c0b1f77..743c472 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -305,14 +305,14 @@ simulations of stellar collapse to mimic (1) the stiffening of the nuclear EOS at nuclear density and (2) to include thermal pressure in the postbounce phase. It consists of two polytropes characterized by ($K_1$, $\gamma_1$) and ($K_2$, $\gamma_2$) and a thermal $\gamma-$law -component described by $\gamma_\mathrm{th}$. Polytrope 1 is soft and +component described by $\gamma_{\mathrm{th}}$. Polytrope 1 is soft and describes a gas of relativistic degenerate electrons with $\gamma_1 -\approx 4/3$. It is used below nuclear density ($\rho_\mathrm{nuc} +\approx 4/3$. It is used below nuclear density ($\rho_{\mathrm{nuc}} \approx 2\times10^{14}\,\mathrm{g\,cm}^{-3}$), and is smoothly matched to -polytrope 2 which applies above $\rho_\mathrm{nuc}$, is stiff, and +polytrope 2 which applies above $\rho_{\mathrm{nuc}}$, is stiff, and models the repulsive core of the strong force above nuclear density ($\gamma_2 \gtrsim 2.5$). $K_2$ is completely determined by -$P_1(\rho_\mathrm{nuc}) = P_2(\rho_\mathrm{nuc})$ and $K_1, \gamma_1,$ +$P_1(\rho_{\mathrm{nuc}}) = P_2(\rho_{\mathrm{nuc}})$ and $K_1, \gamma_1,$ and $\gamma_2$. The full functional form of the EOS $P=P(\rho,\epsilon)$ with the thermal component (which takes into account shock heating) is given by @@ -331,7 +331,7 @@ The \texttt{EOS\_Omni} parameters for the hybrid EOS are the following: \begin{tabular}{ll} \texttt{hybrid\_gamma1} & $\gamma_1$, $\gamma_1 = 1.325$ is an appropriate choice.\\ \texttt{hybrid\_gamma2} & $\gamma_2$, $\gamma_2 = 2.5$ is an appropriate choice.\\ -\texttt{hybrid\_gamma\_th} & $\gamma_\mathrm{th}$, perhaps $1.5$.\\ +\texttt{hybrid\_gamma\_th} & $\gamma_{\mathrm{th}}$, perhaps $1.5$.\\ \texttt{hybrid\_k1} & $K_1$, $0.4640517$ in solar units for relativistic degenerate e$^{-}$.\\ \texttt{hybrid\_rho\_nuc} & nuclear density, standard is $3.238607\times 10^{-4}$ in solar units. \end{tabular} |