If you placed a large parabola of mirrors behind the sun and had it aimed precisely at a planet you could make it MUCH hotter. The mirror could just sit there stable forever but it could sit still enough to fry the target.
You've misidentified the "closed system" here though. The surface of the sun is about 6k degrees but the core of the sun is millions and millions of degrees hotter than that.
If you look at the open system of a planet with some star outside the open system (or hey, how about some crazy scenario where it's heated by five of them) then of course there's going to be a huge energy concentration that by all means seems to be giving the planet all kinds of effects that you wouldn't get with increasing entropy. It looks the same way if your system only contains the surface of the sun and the planet.
But you've got to look at the whole thing when you talk about closed systems. Refrigerators pump energy from a low temp bath over to a high temp bath all day long but you don't have any problem understanding why that local decrease in entropy isn't a net decrease in entropy if you're really looking at all the energy involved in making that happen.
I'm going to assume that this was a reply to my message even though it quoted someone else - pesky quote button.
First, I think you meant to put the mirrors behind the earth, with the earth at the focal point, or even a pair of mirrors - one each behind the sun and the earth. And yes, in this case you could get the earth hotter than the surface of the sun in the limiting case of a big enough sun and a small enough earth (so that the surface areas of the mirrors occupy a negligible solid angle in terms of radiating the energy to empty space). This is because the temperature of the earth is (mostly) controlled by the question "what is the temperature required to radiate the solar energy it's absorbing back into space as black-body radiation".
But this isn't what I was talking about. The original question was "Is there a real-world reason why atmospheric energy retention can only get you so much warming, or is it just a gameplay thing?" No mirrors involved
My (somewhat tongue-in-cheek) answer was that there are 2nd law reasons why one can't just wave the magic "greenhouse effect" wand and obtain arbitrarily high temperatures. To put it a different way, if you put a black-body marble in the center of a 1,000 degree (black-body) oven, it will eventually heat up to 1,000 degrees, but it won't get hotter than that (assuming you don't have a source of free energy somewhere that you're using to run a heat pump) - this is Clausius' statement. Putting greenhouse gasses around the marble isn't going to change that. And if you cut away 99% of the solid angle of the oven (so that the bit that's left is analogous to the surface of the sun that's emitting at us), you still aren't going to make the marble hotter than 1,000 degrees. This isn't to say that it's impossible to make the marble hotter than the oven remnant - once you've cut the 99% away it's implied you've got a source of free energy (otherwise the oven remnant would radiate away all its heat and drop in temperature), so you can play all sorts of games like your mirror or lenses to make it hotter. It's just saying that the greenhouse effect alone isn't going to do it for you.
I suspect everyone's getting tired of this sub-thread, so I'm going to stop. I'm happy to continue discussing it with you offline through PMs.
John