adb said:
Yes.
It doesn't exist.
Heat cannot flow in circles (or oscillate if you like) in this manner.
Of course it can. This is really REALLY basic. Furthermore, those flows emphatically DO exist, and can be measured.
You are also misusing the term "oscillation". The real oscillations are changes in the energy flows, from effects like the change between night and day. The diagram is representing a mean value for the rate of energy flows; if we were able to show changes in the flows from night to day, you'd have effectively no input from the Sun at night, and a much larger input in the day. THAT is the oscillation.
What the diagram shows is the stable steady state mean condition of the equilibrium. It is absolutely stock standard basic thermodynamics to have items is a steady state condition with varying flows of energy between them. At equilibrium, the total energy flows into and out of any object are balanced, assuming no internal sources of energy. And that's what we have here. The only source of energy that really matters is the Sun.
But let's consider a simple example, which does not involve such oscillations, and involves a mutual exchange of energy between three objects.
Assume a planet, which is in tidal lock with the Sun, so that one side always faces the Sun and the other side is always in the night.
Assume a small black iron ball suspended just above the surface, in the middle of the side facing the Sun. The ball is a good conductor of heat; but because the planet is airless, it only exchanges heat by radiation. The ball is in the shade of a small mirror, which reflects away the sunlight.
Since there is no atmosphere, and no night or day, the planet reaches a steady temperature distribution. In the vicinity of the ball, this is just enough to balance the solar input at that point. The small ball receives infrared radiation from the planet on one side. The ball is small, and so it has a nearly uniform temperature distribution. By geometry, the ball's surface area is 4 times the cross section area intercepting energy from the planet's surface.
What temperature will the ball be, in relation to the planet?
Well, the planet has a temperature T. It radiates as a blackbody with σT
4 W/m
2. The ball has surface area A. It receives 0.25*A*σT
4 W from the planet. It radiates, however, due to its own temperature X, an amount A*σX
4. It is in thermal equilibrium, so these two energy flows much be equal. Hence X is T/sqrt(2). The ball is about 0.707 the temperature of the planet. The ball radiates in turn. Half the energy goes out into space (the mirror is small and so the back of the mirror does not block this by much) and half the energy comes back to the planet.
The the final stable thermodynamic state, you have a flow of energy E from the planet to the ball, and 0.5E from the ball back to the planet.
Capiche? This is a stable state for the system. It's not oscillating, and you represent it with a steady continuous flow of energy from the planet to the ball, and another steady continuous flow in the reverse direction.
You can now add an oscillation if you really like, by rotating the planet. The ball spends about half its time in something like the state considered here, and about half its time in the cold of the night side, where all energy flows are very small. You can still represent the average of energy flows, which by the first law have to be in balance, and you still get an overall flow from the planet to the ball and a smaller flow back again. This is the stable equilibrium state of the system, which lasts for as long as the sun continues to shine.
To think this is a conflict with thermodynamics is just wrong.
I sympathize with the difficulties of anyone trying to learn thermodynamics. I've been there also and it is common as anyone is learning about physics and working through the concepts. What is really of more concern is the publication of a paper in IJMP(B), by Gerlich and Tscheuschner, which is full of really basic errors on thermodynamics; errors which any good first year undergraduate course on thermodynamics should be sufficient to fix. The journal really messed up in this case, and failed to apply the kinds of checking we should expect from them.
Granted, it is a small low impact journal. But it still reflects very poorly on the editorial board that this was not picked up before publication.
As a final exercise, try another simple idealized situation, where you should be able to apply the laws of thermodynamics and get an answer. A rapidly rotating planet is surrounded by a thin uniform shell, which transmits almost all sunlight, and absorbs almost all infrared radiation. What is the temperature of the planet, and of this shell?
The radiation from the Sun (S) falls through the planet. The planet radiates energy back up to the shell. The shell absorbs the radiation from the planet, and radiates in turn. The outward radiation from the shell must be S, to balance the inward solar energy. A thin uniform surface radiates back down by the same energy as goes out. Hence the shall radiates S back to the surface. The surface receives 2S, and radiates this same amount back.
Stable state condition. The shell receives 2S from the surface, and transmits S back down the surface again, and another S out into space. THAT is the "circle" you appear to think is impossible. But there is nothing whatever in thermodynamics to conflict with such a stable flow of energy. Everything balances, and since the shell will be cooler than the surface, the net flow from the surface to the shell is what we should expect.
Cheers -- Sylas