NONDETERMINISTIC PARTICLE SYSTEMS
Knauf A, Quaschner M (2026)
Publication Type: Journal article
Publication year: 2026
Journal
Book Volume: 51
Pages Range: 193-229
DOI: 10.3934/dcds.2026027
Abstract
We consider systems of n particles that move with constant velocity between collisions. The total momentum of each cluster involved in a collision but not necessarily its 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. The moment of inertia is a convex function so that the set of collision times is countable and nowhere dense. We prove lower bounds (exponential in the number of so-called chain-closing collisions) for the kinetic energy and the moment of inertia for expanding systems. We also consider the relation of points that can be connected via a nondeterministic trajectory and prove that under some assumptions it is a Lagrangian relation.
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Germany (DE)How to cite
APA:
Knauf, A., & Quaschner, M. (2026). NONDETERMINISTIC PARTICLE SYSTEMS. Discrete and Continuous Dynamical Systems, 51, 193-229. https://doi.org/10.3934/dcds.2026027
MLA:
Knauf, Andreas, and Manuel Quaschner. "NONDETERMINISTIC PARTICLE SYSTEMS." Discrete and Continuous Dynamical Systems 51 (2026): 193-229.
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