Negative heat capacity (source code)

= Negative heat capacity
{title2=$dE/dT<0$}

A decrease in equilibrium <temperature> when the total <energy> increases along a specified family of equilibria. A virialized nonrelativistic self-gravitating <ideal gas> has $E=-U$ and $U$ proportional to its particle-weighted mean <temperature>, producing this behavior. It does not mean the local gas parcel has <negative heat capacity> at fixed <volume>. It occurs naturally for isolated gravitational systems rather than stable ordinary canonical equilibrium with an infinite heat bath.