The short term proportionality between temp and rate of change of SST shows 1 degree deviation
from equilibrium conditions causes 8 ppm / year of CO2 out - gassing from the oceans.
Then again it may prove exceedingly difficult to ever create a workable unified theory of far
from equilibrium conditions.
This is a kind of structure, but one which exists far
from the equilibrium condition of zero rate of production of entropy.
Not exact matches
«This research shows that we need to get away
from a simple paradigm of exoplanets, just thinking about stable
equilibrium conditions and habitable zones.
The team saw in exquisite detail how the atoms at the hematite surface and water molecules nearby responded to far -
from -
equilibrium conditions caused by electrically charging the interface.
A new mechanism to produce the dust in the presented debris disks, deviations
from the
conditions required for a standard
equilibrium collisional cascade (grain size exponent of -3.5), and / or significantly different dust properties would be necessary to explain the potentially steep SED shape of the three debris disks presented.
«This research shows that we need to get away
from a simple paradigm of exoplanets, just thinking about stable
equilibrium conditions and habitable zones,» said Wordsworth.
But as we shift
from what may be perceived as abnormal
conditions to more normal
conditions — when there is some degree of volatility and a higher interest - rate environment — we think the
equilibrium between growth and value will also normalize.
Consider a box willed with gas, under two
conditions: (1) the first box is in
equilibrium, at high temperature, and thus has a high energy content; (2) the second box has low energy content, but is out of
equilibrium: it is stirred by turbulent convection, produced by heating
from below and cooling
from above.
At the point where there is so much H2O vapor in the atmosphere that there is very little solar heating of the surface (very very far
from happenning), there will also tend to be almost no net LW cooling at the surface, so a tropospheric - type lapse rate could still tend to extend down to the surface (as long as the net LW cooling is smaller than the SW heating, there will be some non-radiative flux
from the surface for
equilibrium conditions).
(In the global time average, diffusion of latent heat is in the same direction as sensible heat transport, but latent heat will tend to flow
from higher to lower concentrations of water vapor (or
equilibrium vapor pressure at the liquid / solid water surface), and regionally / locally,
conditions can arise where the latent heat and sensible heat fluxes are oppositely directed.)
(In full thermodynamic
equilibrium, all photon - non-photon interactions, including Raman and Compton scattering, would sustain that
equilibrium; all such interactions tend to eventually bring a system towards such
equilibrium provided that photons (as well as other particles) are not entering or leaving the system
from other systems with different
conditions.)
The Second Law (with this
condition quoted
from Wiki) «Thermodynamic
equilibrium has the greatest entropy amongst the states accessible to the system» is exactly what I talk about in the 4 page Appendix of «Planetary Surface Temperatures.
Not only is earth's climate never in
equilibrium, but global climate is never the same
from moment to moment and no global climate
conditions have ever repeated nor will they ever repeat.
From the comments I have read so far I think everyone is missing the very important point you made in defining the initial
conditions: Essentially you are setting the initial
conditions to
equilibrium and THEN detail your proof FOR THAT
CONDITION.
I would say and / or conclude there is convection in Fig. 1 top post prior to
equilibrium whenever heat is still flowing
from the initial
conditions.
It invokes
equilibrium conditions when the actual climate is a far
from equilibrium system.
>> All the above figures should be treated as conservative underestimates as we move
from the stable
conditions of the Holocene into the far -
from -
equilibrium, rapid change and enhanced sensitivity of the Anthropocene.