Two mathematicians from the University of Pennsylvania have finally found the solution to the very old Boltzmann’s equation that lay unsolved for almost a century and a half. The equation has seven dimension equations and they were thought not to be existent in spite of common use in determining the behavior of gases.
Determining the solutions was a little bit of a historical expedition back in time but it was mostly only mathematical in nature. The prepared solutions of the Boltzmann’s equation are currently beyond the calculability of modern day instruments. They describe the probability of a gas molecule to be at a particular location and the momentum that it might possess at that point. Between the 1860’s and 1880’s, famous physicists James Clerk Maxwell and Ludwig Boltzmann had worked out this equation to be able to describe how gases correspond to changes in velocity, pressure and temperature.


