He's not Gibbs, but this man names a set of factors equal to the exponential of energy times beta that are used to calculate the partition function.  
One equation named for this man includes the contribution of collisions to the motion of particles in a fluid.  He's not Gibbs, but this man names a set of factors equal to the exponential of energy times beta that are used to calculate the partition function.  This man's constant relates the natual log of the multiplicity to the integral of one over the (*) temperature, the latter of which was an expression coined by Clausius to define a quantity later related by Shannon to information.  This physicist names a distribution function for the states of an abstract system, a specific instance of which describes the velocity of particles in an ideal gas he co-names along with Maxwell.  For 10 points, name this physist whose namesake constant relates energy to temperatures scales.
One equation named for this man includes the contribution of collisions to the motion of particles in a fluid.  
Ludwig Boltzmann