On Collision Invariants for Linear Scattering

TL;DR

This paper extends Boltzmann's characterization of collision invariants from hard disks to a broader class of two-dimensional convex particles, advancing the understanding of collision invariants in kinetic theory.

Contribution

It introduces a generalization of collision invariants for a wider class of convex particles beyond hard disks.

Findings

Extended collision invariants to convex particles

Generalized Boltzmann's results to new particle classes

Enhanced theoretical framework for kinetic collisions

Abstract

In this article, we extend the result of Boltzmann on characterisation of collision invariants from the case of hard disks to a class of two-dimensional compact, strictly-convex particles.