Affiliation: College of Arts and Sciences, Department of Mathematics
Other Affiliation: Department of Biomedical Engineering
Diffusion, playing a vital role in countless biological and synthetic processes, is one of the most fundamental transport mechanisms and thus essential to virtually any field, including physics, medicine, engineering, and even economics. Motile “particles”, such as bacteria or self-propelled colloids, spread diffusively through disordered media. An accumulation of particles in such an environment will thus spread until the final distribution is homogeneous. This project will demonstrate an exotic form of diffusion in which, while particles instantaneously move diffusively, an ensemble of them will not spread over time but localize. This localization effect is considered exclusive to electrons, but we will demonstrate the first macroscopic system with analogous properties.