I just told you that I dont think back conduction happens, and gave you the reason why I dont think it happens, and now you are accusing me of saying the opposite. you are as bad as crick. conduction is different than radiation, didnt you know?
Let's look at an iron atom in a bar of steel. This atom has some thermal energy and so is vibrating every which way it can. What do you believe prevents it from transferring that vibrational energy through the bonds with neighboring atoms that have a slightly higher temperature?
I do not have the prerequisite knowledge of phonon production and movement to give anything more than a simplistic description.
likewise, while I believe that radiation is part of the conduction process I have never seen (or understood) any explanation that specifically mentions it. it would certainly be an interesting facet in the understanding of the insulating properties of materials other than metals