  We propose a novel approach in the study of transport phenomena in dense
systems or systems with long range interactions where multiple particle
interactions must be taken into consideration. Within Boltzmann's kinetic
formalism, we study the influence of other interacting particles in terms of a
random distortion of energy and momentum conservation occurring when
multi-particle interactions are considered as binary collisions. Energy and
momentum conservation still holds exactly but not in each model binary
collision. We show how this new system differs from the Boltzmann system and we
note that our approach naturally explains the emergence of Tsallis-like
equilibrium statistics in physically relevant systems in terms of the long
since neglected physics of interacting and dense systems.
