X-Git-Url: https://git.lyx.org/gitweb/?a=blobdiff_plain;f=lib%2Fexamples%2Faa_sample.lyx;h=d8a4f8cd07aad7e0a8c124babb21625f51bebfbc;hb=90f7007a2e6c78ffd031e4636ff909ab1bc2ddec;hp=6af979fc42a5c058b02d70afeb921c724e0c7a30;hpb=696e875695dcb6d307497219487d08f421cddf9c;p=lyx.git diff --git a/lib/examples/aa_sample.lyx b/lib/examples/aa_sample.lyx index 6af979fc42..d8a4f8cd07 100644 --- a/lib/examples/aa_sample.lyx +++ b/lib/examples/aa_sample.lyx @@ -1,5 +1,5 @@ -#LyX 1.6.0rc5 created this file. For more info see http://www.lyx.org/ -\lyxformat 344 +#LyX 2.0 created this file. For more info see http://www.lyx.org/ +\lyxformat 413 \begin_document \begin_header \textclass aa @@ -9,18 +9,26 @@ \end_preamble \options traditabstract \use_default_options false +\maintain_unincluded_children false \language english +\language_package default \inputencoding auto +\fontencoding global \font_roman default \font_sans default \font_typewriter default \font_default_family default +\use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 \graphics default +\default_output_format default +\output_sync 0 +\bibtex_command default +\index_command default \paperfontsize default \spacing single \use_hyperref false @@ -28,21 +36,31 @@ \use_geometry false \use_amsmath 0 \use_esint 0 +\use_mhchem 1 +\use_mathdots 1 \cite_engine basic \use_bibtopic false +\use_indices false \paperorientation portrait +\suppress_date false +\use_refstyle 0 +\index Index +\shortcut idx +\color #008000 +\end_index \secnumdepth 3 \tocdepth 3 \paragraph_separation indent -\defskip medskip +\paragraph_indentation default \quotes_language english \papercolumns 2 \papersides 2 \paperpagestyle default \tracking_changes false \output_changes false -\author "" -\author "" +\html_math_output 0 +\html_css_as_file 0 +\html_be_strict false \end_header \begin_body @@ -51,6 +69,33 @@ \begin_inset Note Note status open +\begin_layout Plain Layout +This is an example LyX file for articles to be submitted to the Journal + of Astronomy & Astrophysicssing (A&A). + How to install the A&A LaTeX class to your LaTeX system is explained in + +\begin_inset Flex URL +status open + +\begin_layout Plain Layout + +http://wiki.lyx.org/Layouts/Astronomy-Astrophysics +\end_layout + +\end_inset + +. +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Note Note +status open + \begin_layout Plain Layout Depending on the submission state and the abstract layout, you need to use different document class options that are listed in the aa manual @@ -392,6 +437,12 @@ status open \begin_inset Caption \begin_layout Plain Layout +\begin_inset CommandInset label +LatexCommand label +name "fig:FigGam" + +\end_inset + Adiabatic exponent \begin_inset Formula $\Gamma_{1}$ \end_inset @@ -423,16 +474,6 @@ Adiabatic exponent \end_inset -\end_layout - -\begin_layout Plain Layout -\begin_inset CommandInset label -LatexCommand label -name "FigGam" - -\end_inset - - \end_layout \end_inset @@ -503,14 +544,16 @@ key "baker" \begin_layout Standard \align left -\begin_inset Formula \begin{eqnarray*} +\begin_inset Formula +\begin{eqnarray*} M_{r} & & \textrm{mass internal to the radius }r\\ m & & \textrm{mass of the zone}\\ r_{0} & & \textrm{unperturbed zone radius}\\ \rho_{0} & & \textrm{unperturbed density in the zone}\\ T_{0} & & \textrm{unperturbed temperature in the zone}\\ L_{r0} & & \textrm{unperturbed luminosity}\\ -E_{\textrm{th}} & & \textrm{thermal energy of the zone}\end{eqnarray*} +E_{\textrm{th}} & & \textrm{thermal energy of the zone} +\end{eqnarray*} \end_inset @@ -530,13 +573,15 @@ local cooling time \begin_inset CommandInset ref LatexCommand ref -reference "FigGam" +reference "fig:FigGam" \end_inset ) -\begin_inset Formula \begin{equation} -\tau_{\mathrm{co}}=\frac{E_{\mathrm{th}}}{L_{r0}}\,,\end{equation} +\begin_inset Formula +\begin{equation} +\tau_{\mathrm{co}}=\frac{E_{\mathrm{th}}}{L_{r0}}\,, +\end{equation} \end_inset @@ -545,8 +590,10 @@ reference "FigGam" local free-fall time \emph default -\begin_inset Formula \begin{equation} -\tau_{\mathrm{ff}}=\sqrt{\frac{3\pi}{32G}\frac{4\pi r_{0}^{3}}{3M_{\mathrm{r}}}}\,,\end{equation} +\begin_inset Formula +\begin{equation} +\tau_{\mathrm{ff}}=\sqrt{\frac{3\pi}{32G}\frac{4\pi r_{0}^{3}}{3M_{\mathrm{r}}}}\,, +\end{equation} \end_inset @@ -559,9 +606,11 @@ local free-fall time \end_inset have the following form: -\begin_inset Formula \begin{eqnarray} +\begin_inset Formula +\begin{eqnarray} \sigma_{0} & = & \frac{\pi}{\sqrt{8}}\frac{1}{\tau_{\mathrm{ff}}}\\ -K & = & \frac{\sqrt{32}}{\pi}\frac{1}{\delta}\frac{\tau_{\mathrm{ff}}}{\tau_{\mathrm{co}}}\,;\end{eqnarray} +K & = & \frac{\sqrt{32}}{\pi}\frac{1}{\delta}\frac{\tau_{\mathrm{ff}}}{\tau_{\mathrm{co}}}\,; +\end{eqnarray} \end_inset @@ -570,10 +619,13 @@ K & = & \frac{\sqrt{32}}{\pi}\frac{1}{\delta}\frac{\tau_{\mathrm{ff}}}{\tau_{\ma \end_inset has been used and -\begin_inset Formula \begin{equation} +\begin_inset Formula +\begin{equation} \begin{array}{l} \delta=-\left(\frac{\partial\ln\rho}{\partial\ln T}\right)_{P}\\ -e=mc^{2}\end{array}\end{equation} +e=mc^{2} +\end{array} +\end{equation} \end_inset @@ -607,14 +659,18 @@ e=mc^{2}\end{array}\end{equation} is proportional to the ratio of the free-fall time and the cooling time. Substituting into Baker's criteria, using thermodynamic identities and definitions of thermodynamic quantities, -\begin_inset Formula \[ -\Gamma_{1}=\left(\frac{\partial\ln P}{\partial\ln\rho}\right)_{S}\,,\;\chi_{\rho}^{}=\left(\frac{\partial\ln P}{\partial\ln\rho}\right)_{T}\,,\;\kappa_{P}^{}=\left(\frac{\partial\ln\kappa}{\partial\ln P}\right)_{T}\] +\begin_inset Formula +\[ +\Gamma_{1}=\left(\frac{\partial\ln P}{\partial\ln\rho}\right)_{S}\,,\;\chi_{\rho}^{}=\left(\frac{\partial\ln P}{\partial\ln\rho}\right)_{T}\,,\;\kappa_{P}^{}=\left(\frac{\partial\ln\kappa}{\partial\ln P}\right)_{T} +\] \end_inset -\begin_inset Formula \[ -\nabla_{\mathrm{ad}}=\left(\frac{\partial\ln T}{\partial\ln P}\right)_{S}\,,\;\chi_{T}^{}=\left(\frac{\partial\ln P}{\partial\ln T}\right)_{\rho}\,,\;\kappa_{T}^{}=\left(\frac{\partial\ln\kappa}{\partial\ln T}\right)_{T}\] +\begin_inset Formula +\[ +\nabla_{\mathrm{ad}}=\left(\frac{\partial\ln T}{\partial\ln P}\right)_{S}\,,\;\chi_{T}^{}=\left(\frac{\partial\ln P}{\partial\ln T}\right)_{\rho}\,,\;\kappa_{T}^{}=\left(\frac{\partial\ln\kappa}{\partial\ln T}\right)_{T} +\] \end_inset @@ -623,10 +679,12 @@ e=mc^{2}\end{array}\end{equation} stability \emph default given below: -\begin_inset Formula \begin{eqnarray} +\begin_inset Formula +\begin{eqnarray} \frac{\pi^{2}}{8}\frac{1}{\tau_{\mathrm{ff}}^{2}}(3\Gamma_{1}-4) & > & 0\label{ZSDynSta}\\ \frac{\pi^{2}}{\tau_{\mathrm{co}}\tau_{\mathrm{ff}}^{2}}\Gamma_{1}\nabla_{\mathrm{ad}}\left[\frac{1-3/4\chi_{\rho}^{}}{\chi_{T}^{}}(\kappa_{T}^{}-4)+\kappa_{P}^{}+1\right] & > & 0\label{ZSSecSta}\\ -\frac{\pi^{2}}{4}\frac{3}{\tau_{\mathrm{co}}\tau_{\mathrm{ff}}^{2}}\Gamma_{1}^{2}\,\nabla_{\mathrm{ad}}\left[4\nabla_{\mathrm{ad}}-(\nabla_{\mathrm{ad}}\kappa_{T}^{}+\kappa_{P}^{})-\frac{4}{3\Gamma_{1}}\right] & > & 0\label{ZSVibSta}\end{eqnarray} +\frac{\pi^{2}}{4}\frac{3}{\tau_{\mathrm{co}}\tau_{\mathrm{ff}}^{2}}\Gamma_{1}^{2}\,\nabla_{\mathrm{ad}}\left[4\nabla_{\mathrm{ad}}-(\nabla_{\mathrm{ad}}\kappa_{T}^{}+\kappa_{P}^{})-\frac{4}{3\Gamma_{1}}\right] & > & 0\label{ZSVibSta} +\end{eqnarray} \end_inset @@ -713,7 +771,7 @@ the thermodynamics and opacities (see Table \begin_inset CommandInset ref LatexCommand ref -reference "KapSou" +reference "tab:KapSou" \end_inset @@ -738,7 +796,7 @@ status open \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label -name "KapSou" +name "tab:KapSou" \end_inset @@ -751,9 +809,10 @@ Opacity sources \end_layout \begin_layout Plain Layout +\align center \begin_inset Tabular - + @@ -910,29 +969,37 @@ reference "ZSDynSta" \end_inset and it reduces to the criterion for dynamical stability -\begin_inset Formula \begin{equation} -\Gamma_{1}>\frac{4}{3}\,\cdot\end{equation} +\begin_inset Formula +\begin{equation} +\Gamma_{1}>\frac{4}{3}\,\cdot +\end{equation} \end_inset Stability of the thermodynamical equilibrium demands -\begin_inset Formula \begin{equation} -\chi_{\rho}^{}>0,\;\; c_{v}>0\,,\end{equation} +\begin_inset Formula +\begin{equation} +\chi_{\rho}^{}>0,\;\; c_{v}>0\,, +\end{equation} \end_inset and -\begin_inset Formula \begin{equation} -\chi_{T}^{}>0\end{equation} +\begin_inset Formula +\begin{equation} +\chi_{T}^{}>0 +\end{equation} \end_inset holds for a wide range of physical situations. With -\begin_inset Formula \begin{eqnarray} +\begin_inset Formula +\begin{eqnarray} \Gamma_{3}-1=\frac{P}{\rho T}\frac{\chi_{T}^{}}{c_{v}} & > & 0\\ \Gamma_{1}=\chi_{\rho}^{}+\chi_{T}^{}(\Gamma_{3}-1) & > & 0\\ -\nabla_{\mathrm{ad}}=\frac{\Gamma_{3}-1}{\Gamma_{1}} & > & 0\end{eqnarray} +\nabla_{\mathrm{ad}}=\frac{\Gamma_{3}-1}{\Gamma_{1}} & > & 0 +\end{eqnarray} \end_inset @@ -960,10 +1027,12 @@ reference "ZSVibSta" stability \emph default , respectively: -\begin_inset Formula \begin{eqnarray} +\begin_inset Formula +\begin{eqnarray} 3\Gamma_{1}-4=:S_{\mathrm{dyn}}> & 0\label{DynSta}\\ \frac{1-3/4\chi_{\rho}^{}}{\chi_{T}^{}}(\kappa_{T}^{}-4)+\kappa_{P}^{}+1=:S_{\mathrm{sec}}> & 0\label{SecSta}\\ -4\nabla_{\mathrm{ad}}-(\nabla_{\mathrm{ad}}\kappa_{T}^{}+\kappa_{P}^{})-\frac{4}{3\Gamma_{1}}=:S_{\mathrm{vib}}> & 0\,.\label{VibSta}\end{eqnarray} +4\nabla_{\mathrm{ad}}-(\nabla_{\mathrm{ad}}\kappa_{T}^{}+\kappa_{P}^{})-\frac{4}{3\Gamma_{1}}=:S_{\mathrm{vib}}> & 0\,.\label{VibSta} +\end{eqnarray} \end_inset @@ -1009,7 +1078,7 @@ e relations \begin_inset CommandInset ref LatexCommand ref -reference "FigVibStab" +reference "fig:VibStabEquation" \end_inset @@ -1035,6 +1104,12 @@ status open \begin_inset Caption \begin_layout Plain Layout +\begin_inset CommandInset label +LatexCommand label +name "fig:VibStabEquation" + +\end_inset + Vibrational stability equation of state \begin_inset Formula $S_{\mathrm{vib}}(\lg e,\lg\rho)$ \end_inset @@ -1050,16 +1125,6 @@ Vibrational stability equation of state \end_inset -\end_layout - -\begin_layout Plain Layout -\begin_inset CommandInset label -LatexCommand label -name "FigVibStab" - -\end_inset - - \end_layout \end_inset @@ -1146,6 +1211,7 @@ aa.bst \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1966" @@ -1167,6 +1233,7 @@ R. \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1988" @@ -1179,6 +1246,7 @@ key "balluch" \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1980" @@ -1193,6 +1261,7 @@ key "cox" \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1969" @@ -1207,6 +1276,7 @@ key "cox69" \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1980" @@ -1221,6 +1291,7 @@ key "mizuno" \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1987" @@ -1234,6 +1305,7 @@ key "tscharnuter" \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1992" @@ -1252,6 +1324,7 @@ key "terlevich" \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1980a" @@ -1265,6 +1338,7 @@ key "yorke80a" \end_layout \begin_layout Bibliography +\labelwidthstring References \begin_inset CommandInset bibitem LatexCommand bibitem label "1997"