First Order Non-Instantaneous Corrections in Collisional Kinetic Alignment Models
Abstract
In this work the standard kinetic theory assumption of instantaneous collisions is lifted. A model for higher order non-instantaneous alignment collisions is presented and studied in the asymptotic regime of short collision duration. A first order accurate approximative model is derived as a correction to the instantaneous limit. Rigorous results on its well-posedness and on the instantaneous limit are proven. The approximative model is a system of two equations. An equally accurate scalar approximation is suggested.
Fields of Study & Subjects
Opinion Dynamics and Social Influence
Publication details
- Journal / source
- Journal of Statistical Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 193
- Issue
- 8
- Pages
- 102–102
- Publication date
- 24 July 2026
- Language
- EN