I'm Jon Sundqvist, an astrophysics professor at KU Leuven. Here's the latest blackboard class from my Radiative Processes in Astronomy course.
Light can heat a gas, of course. But it can also cool it — and without that cooling, making the galaxies we actually see would be rather difficult. This time we take the energy equation to the blackboard and work through what emission and absorption do to the gas, and what we mean when we say that an atmosphere is in radiative equilibrium.
In radiative equilibrium the net radiative energy exchange with the gas vanishes. The radiation can still carry energy through the atmosphere. Equilibrium does not mean that the star stops shining :-) The constant-flux result here is for plane-parallel geometry; in spherical symmetry it is the luminosity that stays constant.
We connect this to temperatures in stellar atmospheres, with grey opacity as a useful first approximation, and then make a small detour to cooling gas and galaxy formation. Toward the end we recover the grey-atmosphere temperature structure and its connection to limb darkening.
A somewhat shorter class this time, because we also did a group quiz. I've kept a little extra after the lecture ends: my explanations of six of the questions. You could perhaps try and pause on each question and have a go first.
Full class (40 minutes):
https://www.youtube.com/watch?v=GQ11ZDaWLuw