Section: New Results

New result on the Boltzmann scenario

Boltzmann provided a scenario to explain why individual macroscopic systems inevitably approach a unique macroscopic state of thermodynamic equilibrium, and why after having done so, they remain in that state, apparently forever. In [12], new rigorous results are provided that mathematically prove the basic features of Boltzmann's scenario for two classical models: a simple boundary-free model for the spatial homogenization of a non-interacting gas of point particles, and the well-known Kac ring model.