### Self-Avoiding Modes of Motion in a Deterministic Lorentz Lattice Gas

- Series
- Math Physics Seminar
- Time
- Friday, October 16, 2015 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Ben Webb – Brigham Young University

We consider the motion of a particle on the two-dimensional hexagonal lattice
whose sites are occupied by flipping rotators, which scatter the particle
according to a deterministic rule. We find that the particle's trajectory
is a self-avoiding walk between returns to its initial position. We
show that this behavior is a consequence of the deterministic scattering rule
and the particular class of initial scatterer configurations we consider. Since
self-avoiding walks are one of the main tools used to model the growth of
crystals and polymers, the particle's motion in this class of systems is potentially
important for the study of these processes.