Suppose there is a solid made of avogadro number of, say, aluminium atoms. This solid is kept at 273 K. According to Maxwell-Boltzmann distribution, all the particles or atoms will not have the same thermal energy. Some atoms are cooler than 273 K, some are much warmer than that etc. But is this true?
I mean, according to thermodynamics, heat must flow from warmer to cooler places (or particles) and must arrive at thermal equilibrium so that both places or particles will have same thermal energy or temperature.
So, atleast after some time, all the particles or atoms in a solid as I mentioned above must exchange energy with each other and must arrive at thermal equilibrium so that all the particles will have the same temperature (in the case I mentioned, 273 K), isn't it? But according to Maxwell-Boltzmann distribution, this will not happen.
-Why is this so?
-Or is Maxwell-Boltzmann distribution not valid for solids, so that the atoms will infact have same thermal energy or temperature atleast after some time?
-If it is valid for solids, why don't the atoms all arrive at a state where all of them have same temperature (which should happen from the point of view of thermodynamics)?
I could clarify most of my questions from the link of another similar question provided. But, I couldn't find an answer to my last question:
-What might be the approximate value of the thermal energy or the temperature of the particle having maximum energy in the solid I mentioned as predicted by Maxwell-Boltzmann distribution?