This function's maximum occurs at the square root of two R T over M, which is slightly under its average and root-mean-square.
This function can be used to model Jeans escape. When this function is rewritten to apply to energy, the result is the product of the density of states, which is proportional to the square root of the energy, and the probably of a state being occupied, which is a quantity named for one namesake of this function. This function's maximum occurs at the square root of two R T over M, which is slightly under its average and root-mean-square. The Sackur-Tetrode equation fails at low temperatures because it assumes that this classical function holds true. This function is used when one has identical, but distinguishable particles, as opposed to identical and indistinguishable in the cases of the Bose-Einstein and Fermi-Dirac. For 10 points, name this doubly-eponymous distribution of the velocities of molecules in a gas.
This function can be used to model Jeans escape. When this function is rewritten to apply to energy, the result is the product of the density of states, which is proportional to the square root of the energy, and the probably of a state being occupied, which is a quantity named for one namesake of this function.
Maxwell-Boltzmann speed distribution [or velocity in place of speed; prompt on Maxwellian speed distribution; prompt on Boltzmann distribution; prompt on Gibbs distribution]