Stellar adiabatic exponent
= Stellar adiabatic exponent
{title2=$\Gamma_i$}
The stellar adiabatic exponents describe pressure and temperature responses to an isentropic density change:
$$
\Gamma_1=\left(\frac{\partial\log P}{\partial\log\rho}\right)_s,
\qquad
\Gamma_3-1=\left(\frac{\partial\log T}{\partial\log\rho}\right)_s,
\qquad
\frac{\Gamma_2}{\Gamma_2-1}
=\left(\frac{\partial\log P}{\partial\log T}\right)_s.
$$