If Land surface temperature change effect the atmospheric temperature then what is the physical mechanism behind this phenomena.
I assume you mean by LST the temperature of the surface of land (part of the earth). Gas in contact with a surface transports heat from or towards the surface through collisions of individual gas molecules with molecules of the land: during such a collision the velocities of the incoming gas molecules and those of the (vibrating) land molecules are redivided: in an elastic collision this is done so that kinetic energy and momentum are conserved. This heat exchange will eventually change the atmospheric temperature.
However, there are many effects to consider and I doubt whether the gross picture that we have is complete.
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