from a simple equation of state, given for example, as a function
from a simple equation of state, given for example, as a function
of density and
of density and
temperature. Once the microphysics, i.e.\ the thermodynamics
temperature. Once the microphysics, i.e.\ the thermodynamics
and opacities (see Table~\ref{KapSou}), are specified (in practice
and opacities (see Table\ref{KapSou}), are specified (in practice
by specifying a chemical composition) the one-zone stability can
by specifying a chemical composition) the one-zone stability can
be inferred if the thermodynamic state is specified.
be inferred if the thermodynamic state is specified.
The zone -- or in
The zone -- or in
@ -302,10 +308,16 @@ acknowledgements:
thermodynamical state of the layer. Therefore the above relations
thermodynamical state of the layer. Therefore the above relations
define the one-zone-stability equations of state
define the one-zone-stability equations of state
$S_{\mathrm{dyn}},\,S_{\mathrm{sec}}$
$S_{\mathrm{dyn}},\,S_{\mathrm{sec}}$
and $S_{\mathrm{vib}}$. See Fig.~\ref{FigVibStab} for a picture of
and $S_{\mathrm{vib}}$. See Fig.\ref{FigVibStab} for a picture of
$S_{\mathrm{vib}}$. Regions of secular instability are
$S_{\mathrm{vib}}$. Regions of secular instability are
listed in Table~1.
listed in Table 1.
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![Vibrational stability equation of state $S_{\mathrm{vib}}(\lg e, \lg \rho)$. $>0$ means vibrational stability.](Figure/icml_numpapers.eps){#FigVibStab width=3.43in height=2.71in}