Nondeterministic particle systems

TL;DR

This paper studies nondeterministic particle systems where particles move at constant velocity and collide, preserving total momentum but not kinetic energy, focusing on trajectories with infinitely many collisions.

Contribution

It introduces a framework for analyzing nondeterministic particle systems with momentum-preserving collisions and explores the behavior of trajectories with infinite collisions.

Findings

Existence of trajectories with infinitely many collisions.

Characterization of nondeterministic dynamics in such systems.

Insights into the long-term behavior of these particle systems.

Abstract

We consider systems of n particles that move with constant velocity between collisions. Their total momentum but not necessarily their kinetic energy is preserved at collisions. As there are no further constraints, these systems are nondeterministic. In particular we examine trajectories with infinitely many collisions.