1997/07/14 by M. H. Ernst, Matthieu H. Ernst, Ernst, Matthieu H.
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Automaton #Boltzmann equation #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Collision #Computer science #FOS: Physical sciences #Generalization #Kinetic energy #Kinetic theory #Lattice Boltzmann methods #Lattice gas automaton #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Optical properties and cooling technologies in crystalline materials #Physics #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Stochastic cellular automaton #Theoretical physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9707146
25 LaTeX pages, 4 PostScript figures. Uses World Scientific Publishing style, sprocl.sty. Email: [email protected]
arxiv created 1997/07/14 · openalex publication_date 1997/07/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.