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At very low temperatures quantum effects start to make a significant contribution the distribution and Bose-Einstein or Fermi-Dirac statistics take over depending on whether the particles are fermions or bosons. At high temperatures the kinetic energy of particles drowns out the effects of quantum mechanics.

http://en.wikipedia.org/wiki/Fermi–Dirac_statistics

http://en.wikipedia.org/wiki/Bose–Einstein_statistics

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