Also could you tell me if the increase in
temperature towards equilibrium is expected to be linear.
Not exact matches
When you say «If the oceans are warming at all, or if the net ice melting is positive, we are not in
equilibrium» it suggests that you see
temperatures inexorably rising
towards an
equilibrium.
As atmospheric
temperatures increase, therefore, heat transfer into the oceans increases as the system tends
towards a new
equilibrium temperature.
Radiative
equilibrium at small LW optical thickness occurs when the whole atmosphere has a
temperature such that the Planck function is about half of that of the surface (a skin
temperature), whereas at larger LW optical thicknesses, the
equilibrium profile has a signficant drop in the Planck function through the atmosphere, approaching half the OLR value at TOA and approaching the surface value
towards the surface — of course, convection near the surface will bring a closer match between surface and surface - air
temperatures.
Depending on meridional heat transport, when freezing
temperatures reach deep enough
towards low - latitudes, the ice - albedo feedback can become so effective that climate sensitivity becomes infinite and even negative (implying unstable
equilibrium for any «ice - line» (latitude marking the edge of ice) between the equator and some other latitude).
Starting with zero atmospheric LW absorption, adding any small amount cools the whole atmopshere
towards a skin
temperature and warms the surface — tending to produce a troposphere (the forcing at any level will be positive, and thus will be positive at the tropopause; it will increase downward toward the surface if the atmosphere were not already as cold as the skin
temperature, thus resulting in atmospheric cooling toward the skin
temperature; cooling within the troposphere will be balanced by convective heating from the surface at
equilibrium, with that surface + troposphere layer responding to tropopause - level forcing.)
For an optically thick stratosphere, for full
equilibrium, the same
temperature profile is compressed
towards TOA, except where the flux from the troposphere + surface requires some deviation.
As more optical thickness is added to a «new» band, it will gain greater control over the
temperature profile, but eventually, the
equilibrium for that band will shift
towards a cold enough upper atmosphere and warm enough lower atmosphere and surface, such that farther increases will cool the upper atmosphere or just that portion near TOA while warming the lower atmosphere and surface — until the optical thickness is so large (relative to other bands) that the band loses influence (except at TOA) and has little farther effect (except at TOA).
EOD makes no difference to
equilibrium temperature it only makes a difference in the speed at which the system moves
towards equilibrium.
The process of such evaporation and then condensation together with those other weather processes is an express route to get heat energy from ocean to surface to atmosphere to space and the bigger the
temperature differential between ocean surface, atmosphere and space the faster they must all work to move the atmosphere back
towards a
temperature equilibrium.
However what I do say is that if other factors alter albedo (or any other component of the global energy budget) then the jets will move in response to that other forcing in order to try to move back
towards equilibrium between the
temperature of the ocean surface and the
temperature at the tropopause.
No, the ocean thermocline never reaches a state of thermodynamic
equilibrium because there is a new supply of thermal energy each day and that energy must be diffused downwards and then
towards the poles, so there is continual energy movement and the
temperature gradient is always there in the thermocline, so how could it possibly be thermodynamic
equilibrium?.
Radiative
equilibrium does drive
towards an isothermal state, but mixing goes
towards an isentropic state, which is a recognized term indicating constant potential
temperature (also dry adiabatic) because the log of potential
temperature is basically the entropy in thermodynamic terms.
As per my posts above, it is possible for DLR to increase more than evaporation, and so the warming from the DLR beats the cooling from evaporation, leading to a warming whereby the system is moving
towards equilibrium by increasing
temperature and hence increasing sensible heat flux and emitted longwave radiation.
To move
towards equilibrium, either R and E increase (R and E being functions of
temperature), L increases or all three increase.
The
temperature of the Earth will tend to move
towards equilibrium with the forcings, so that the same amount of energy enters and leaves (forget for the moment possible multiple
equilibria).