(In an earlier work , the author showed that Hawking radiation should follow Maxwell-Boltzmann statistics
rather than Bose-Einstein statistics as considered in .
The energies of such particles follow what is known as Maxwell-Boltzmann statistics
, and the statistical distribution of speeds is derived by equating particle energies with kinetic energy.
The molecules have a range of kinetic energies described by Maxwell-Boltzmann statistics
, so only those molecules with energies in the higher reaches of this distribution are able to take flight.