When
the system reaches equilibrium, the same number of photons will leave the gas column as enter.
Energy is accumulated in the earth and shell until
the system reaches equilibrium.
The system reaches equilibrium when the shell emits 256 W / m2 to space, and then it also emits 256 to the surface, 512 in total, which must all come from the surface, the only source.
There is a time delay before
the system reaches equilibrium.
Not exact matches
The molecules coming to rest — at least on the macroscopic level — is the result of thermalization, or of
reaching equilibrium after they have achieved uniform saturation within the
system.
The idea of climate inertia is that when you increase the CO2 concentration in the atmosphere it takes the climate
system a good deal of time for all its components to fully adjust and
reach a new
equilibrium temperature.
The approximately 20 - year lag (between atmospheric CO2 concentration change and
reaching equilibrium temperature) is an emerging property (just like sensitivity) of the global climate
system in the GCM models used in the paper I linked to above, if I understood it correctly.
Now, should the reduced concentration persist, more energy will continue to accumulate in the
system until a new, higher
equilibrium temperature is
reached (the
equilibrium response).
As such, when emissions quit rising, according to their framework, the climate
system is no longer being forced, but the temperature will continue to rise and it will still take a considerable amount of time for the
system to
reach equilibrium.
When we stop raising the level of carbon dioxide, the temperature continues to rise because it takes a while for the climate
system to
reach equilibrium.
I accept the idea that for a
system surrounded by a vacuum when radiation - rate -
equilibrium is
reached, the amount of energy per unit time leaving a
system via radiation is equal to the amount of energy per unit time entering the
system.
Once the
system reaches a state of dynamic
equilibrium the energy lost by the ground equals the energy
reaching the ground.
Modulations on the 11 year solar cycle are damped, leaving only 10 or 20 % of the temperature variations that would have been seen if the
system could have
reached equilibrium.
For these conditions, when radiation - rate -
equilibrium is
reached for the «two - shell
system» (i.e., when the rate of energy being radiated outward by the outer shell equals the rate of energy being generated in the wall of the inner shell, I believe the presence of body «A» will affect the temperature of the external surface of the inner shell.
The fact that air in fact conducts heat just like the silver, and that if you wait for
equilibrium — whether or not it actually takes a very long time on a human scale to get there — the
equilibrium reached will be isothermal or violate the second law, in particular by manifestly not being the maximum entropy state of the
system.
Try, really try, to address just Jelbring's imaginary world, perfectly insulated above and below, ideal gas in between, near - Earth gravity, infinite time for the
system to
reach true thermodynamic
equilibrium (or long enough for a non-GHG to
reach thermal
equilibrium through radiation, which is going to be a hell of a lot longer than its thermal relaxation through conductivity for a gas on average 200 - 300K in temperature at 1 g).
By any mechanism you like — this isn't about mechanism, this is about conservation of flow — the temperature of the rest of the
system must increase enough to drive up the flow in the unblocked part of the garden hose until dynamic
equilibrium is once again
reached.
Yes, by gosh, the
system in fig. 2 with real non-perfect insulator will
reach thermal
equilibrium over time by 0th law.
Over time, I would expect the
system to
reach thermal
equilibrium.
Heat will flow in this
system forever; it will never
reach thermal
equilibrium.
It presupposes that all thermal relaxation that can occur has occurred, unless you wish to work a
system with broken ergodicity, or unless you can show that there is a vast separation of relaxation timescales, one large enough that
equilibrium will not be
reached in the particular times of interest in a particular problem.
Another possibility is that the exchange would continue only until the new, combined wire - gas
system reached its own
equilibrium, in which we would not in general expect the gas to exhibit the same mean - molecular - kinetic energy profile it did when it was isolated.
Once a
system has
reached a minimum free energy and dG = 0 (or equivalently dA = 0) throughout, it has
reached thermodynamic
equilibrium and all macroscopic changes cease.
But once the
system reaches isoentropic
equilibrium at the DALR, heat will flow via real conduction, not adiabatic movement of parcels, and the
system will, I believe, relax to isothermal
equilibrium that — as I've clearly shown — is an entirely valid thermodynamic state that is dynamically stable.
Any such
system would quickly
reach thermal
equilibrium — one where the top and bottom of the gas are at an equal temperature.
If there were no IR active gases in the atmosphere, then the
system as a whole would still
reach equilibrium with the energy absorbed equal to the energy radiated out.
* Here Anthony Watts acknowledges the fact that AGW has nothing to do with faith, but is true and tried science that should be the guideline for future, as physics and engineering both point to the fact that once a
system that tries to
reach an
equilibrium according to QM (approximated by Newtonian mechanics) is disturbed enough it will change towards a new
equilibrium state with potentially catastrophic and chaotic alterations in the
system, which will present problems for the subsystems functioning within this
system, in the AGW case this could be the human cultural
system, though Watts doesn't mention it in the lead.
The effects of 2xCO2 can not be measured, as you appear to state *, since we can't know that the
equilibrium has been
reached because we don't and will never fully understand the earth
system (which certainly isn't described fully by the model FG used).
And — all things equal — as long as nothing changes, everything will remain the same, once the
system has
reached thermal
equilibrium.
So while, at first there is a difference (i.e. when the
system is not at
equilibrium), but once
equilibrium is
reached then they are equal at all frequencies.
That flow of energy prevents any
equilibrium ever being
reached between the components of the
system because the
equilibrium is set by the rates of flow of energy in and energy out and not by absolute temperature.
I thought it was worth drawing attention to the fact that we can't assume we are looking a
system that has
reached a new
equilibrium as a result of increases in «greenhouse» gases.
One point to bear in mind is that
equilibrium climate sensitivity of any sort is an artificial concept since the ocean - atmosphere
system can only approach
equilibrium as a limit, never actually
reaching it.
Because of the slow response time of the climate
system, the
equilibrium climate consistent with current levels of greenhouse gases will not be
reached for many centuries.
The earth / sun
system is never in perfect
equilibrium but it will always seek to attain
equilibrium and the farther out of
equilibrium the harder it tries to
reach equilibrium.
In the climate case, the
system is very complex, because the increase in temperature in response to the back radiation, increases a number of other responses to increased temperature before
equilibrium is
reached.
showing how EM radiation, heat and air / water kinetic energy (in cells, circulations, currents, weather
systems and convection columns and so on) move and how long they have to move before they
reach some kind of
equilibrium would go some way to visualising why it takes time for the earth
system to respond to radiative forcing (commitment time lag).
The
system has
reached equilibrium, the heat conducted down from the warmer surface exactly cancels out the cold advected along the bottom.
Estimates based on recent observations can only be of effective, not
equilibrium, climate sensitivity, since the climate
system has not
reached equilibrium.
However, in the real world where the climate
system is open to radiation, the sun is the source of energy that prevents thermal
equilibrium being
reached.
You based this on the following definition of the 2nd law: «'' When two isolated
systems in separate but nearby regions of space, each in thermodynamic
equilibrium in itslef, but not in
equilibrium with each other t first, are at some time allowed to interact, breaking the isolation that separates the two
systems, and they exchange matter or energy, they will eventually
reach a mutual thermodynamic
equilibrium.»
«When two isolated
systems in separate but nearby regions of space, each in thermodynamic
equilibrium in itself, but not in
equilibrium with each other at first, are at some time allowed to interact, breaking the isolation that separates the two
systems, and they exchange matter or energy, they will eventually
reach a mutual thermodynamic
equilibrium.»
You based this on the following definition of the 2nd law: ««When two isolated
systems in separate but nearby regions of space, each in thermodynamic
equilibrium in itself, but not in
equilibrium with each other at first, are at some time allowed to interact, breaking the isolation that separates the two
systems, and they exchange matter or energy, they will eventually
reach a mutual thermodynamic
equilibrium.»
At its most basic, global warming is trivial, and beyond any doubt: add more energy to a
system (by adding more infra - red absorbing carbon dioxide to the atmosphere), and the
system gets hotter (because, being knocked out of
equilibrium, it will heat up faster than it loses heat to space, up and until it
reaches a new
equilibrium).