User: cott Date: 2012/03/13 01:27 AM
Modified: / ET.tex
Log: * add text clarifying hybrid EOS
File Changes:
Directory: / ============
File [modified]: ET.tex Delta lines: +11 -1 =================================================================== --- ET.tex 2012-03-13 06:03:14 UTC (rev 299) +++ ET.tex 2012-03-13 06:27:49 UTC (rev 300) @@ -1845,7 +1845,17 @@ \label{eq:hybrid_eos} \end{eqnarray}% In this, the total specific internal energy $\epsilon$ -consists of a polytropic and a thermal contribution. In iron core +consists of a polytropic and a thermal contribution. The variable $\Gamma$ +assumes one of two values, +\begin{equation} +\Gamma = \left{\begin{array}{ll} +\Gamma_1 & \mathrm{for},,\rho < \rho_\mathrm{nuc},,,\ +\Gamma_2 & \mathrm{for},,\rho \ge \rho_\mathrm{nuc},,, +\end{array} \right. +\end{equation} +where $\rho_\mathrm{nuc}$ is typically set to $2\times 10^{14},\mathrm{g},\mathrm{cm}^{-3}$. + +In iron core collapse, the pressure below nuclear density is dominated by the pressure of relativistically degenerate electrons. For this, one sets $K = 4.897 \times 10^{14}$ [cgs] in the above. The thermal index