Entropy and Non-Equilibrium Statistical Mechanics.

In this paper, "Classical Model of Quons", by G. Kaniadakis and A. M Scarfone [[1]] by using a kinetic interaction principle an evolution equation describing quons statistics is proposed by properly generalizing the inclusion/exclusion principle of standard boson and fermion statistics. In the paper "A Note on the Entropy Force in Kinetic Theory and Black Holes" by R. A. Treumann and W. Baumjohann [[4]] is derived a kinetic equations of a large system of particles including a collective integral term to the Klimontovich equation for the evolution of the signle-particle distribution function. Here, the novelty is to endow great importance for the entropy balance equation in updating the state variables, thus the numerical compatibility with the second law of thermodynamics is ensured. [Extracted from the article]