2019/10/15 by Tim Hurst, T. D. Hurst, Benjamin D. Goddard +6
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Quantum Electrodynamics and Casimir Effect #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1910.06656
arxiv created 2019/10/15 · openalex publication_date 2019/10/15 · arxiv updated 2019/10/16 · openalex created_date 2019/10/25 · openalex updated_date 2026/07/28
The Liouville equation is of fundamental importance in the derivation of continuum models for physical systems which are approximated by interacting particles. However, when particles undergo instantaneous interactions such as collisions, the derivation of the Liouville equation must be adapted to exclude non-physical particle positions, and include the effect of instantaneous interactions. We present the weak formulation of the Liouville equation for interacting particles with general particle dynamics and interactions, and discuss the results using an example.