Classical Magnetic Frustration

We report on studies of classical magnetic frustration, inspired by Mellado {\it et al.}~[1], by studying an ensemble of freely rotating magnets, made of 1'' rare-earth bar magnets press-fit into polypropylene spheres floating on air bearings. The magnets can be arranged in any configuration to study frustration in 1, 2, or 3 dimensions. For instance, arranged in a Kagome lattice the magnets show an absence of high-energy {\it in-in-in} and {\it out-out-out} states; the presence of multiple ground states is indicative of macroscopic frustration. We also observe classical ``magnon'' transport in a one-dimensional chain. We will report on progress made in exploring the behavior of these magnets in triangular, Kagome, and honeycomb lattice configurations. \newline [1] P. Mellado, A. Concha, and L. Mahadevan, Phys. Rev. Lett. \textbf{109}, 257203 (2016).