BYU

Abstract by Stewart McGinnis

Personal Infomation


Presenter's Name

Stewart McGinnis

Degree Level

Masters

Co-Authors

Benjamin Webb

Abstract Infomation


Department

Mathematics

Faculty Advisor

Ben Webb

Title

Multiparticle Dynamics on a Triangular Lattice

Abstract

Lorentz Lattice Gas models are used to understand diffuse particles moving through a medium represented by a lattice. In the literature, the gas is assumed to be diffuse enough to that modeling a single particle is sufficient. We extend one such model on a triangular lattice to an arbitrary collection of particles with different speeds. There are substantial changes in both the geometry and long term behavior of the dynamics with the addition of more particles. These changes provide a striking illustration to the complexity that can arise in multiparticle systems.