Bogoliubov Choh Uhlenbeck Theory: Cradle of Modern Kinetic Theory

Abstract

The Choh Uhlenbeck equation was the first successful generalization of the Boltzmann equation to include triple collisions in a systematic manner. Detailed analysis of its triple collision term has led to the important concept of ring collisions, which create dynamic correlations between particles with a common collision history. This review shows how the ring collisions have been at the root of most major developments in kinetic theory of the last 40 years, both for continuous fluids as well as for lattice gas automata. In present times they have become the standard tool to analyze long spatial and temporal correlations in simple and complex fluids.