PROOF of GRAVITO-THERMAL EFFECT using Second Law of Thermodynamics and Kinetic Theory of Gases

A new comment on the post "Le Hansen nouveau est re-arrive" 
http://scienceblogs.com/stoat/2016/03/13/le-hansen-noveau-est-arrive/

Author: Physics Shows What is Correct
Comment:

<b>PROOF of GRAVITO-THERMAL EFFECT using Second Law of Thermodynamics and Kinetic Theory of Gases.</b>

In the state of thermodynamic equilibrium (that is, maximum entropy) in a column of the troposphere the pressure from above and below any horizontal plane is equal. Because pressure is proportional to the product of temperature and density, and because there can be no transfer of energy or matter across any internal boundary when there is thermodynamic equilibrium, we can deduce that, for any horizontal plane, there must be equal numbers of molecules crossing upwards as there are crossing downwards, and the mean kinetic energy of each group while crossing the plane must be equal.

Now, for the numbers to be equal we note that the effect of gravity creates a slightly greater than 50% chance that net downward motion will occur during and also between molecular collisions. This means that there must be a higher density below the plane and a lower one above. So this explains how the density gradient evolves as a result of maximum entropy production (that is, dissipation of unbalanced energy potentials) in accord with the Second Law of Thermodynamics.

And, for the temperatures to be equal, this means that (because molecules gain Kinetic Energy with downward motion) there must have been lower mean molecular Kinetic Energy (temperature) above the plane and warmer temperature below. <b>Hence there is a stable equilibrium temperature gradient resulting from the entropy maximization process described in statements of the Second Law of Thermodynamics.*</b>

<b>Hence the radiative forcing greenhouse conjecture is false.</b>

Hence James Hansen and others are mistaken in thinking that temperatures at the base of planetary tropospheres (and in any solid surfaces there) are primarily determined by radiation of any form reaching that region.

* <a HREF="https://en.wikipedia.org/wiki/Laws_of_thermodynamics" rel="nofollow">Second law of thermodynamics</a>: <i>In a natural thermodynamic process, the sum of the entropies of the interacting thermodynamic systems increases.</i>