From Newton to Boltzmann: the case of short-range potentials
From Newton to Boltzmann: the case of short-range potentials
We fill in all details in the proof of Lanford's theorem. This provides a rigorous derivation of the Boltzmann equation as the mesoscopic limit of systems of Newtonian particles interacting via a short-range potential, as the number of particles $N$ goes to infinity and the characteristic length of interaction $\varepsilon$ …