The ability to rectify Brownian forces with spatially extended time-varying light fields creates new opportunities for studying the statistical properties of thermal ratchet models and to exploit these models' interesting and useful properties for practical applications. This paper describes experimental studies of one-dimensional thermal ratchets implemented with the holographic optical trappi...

One-dimensional discrete patterns are relatively simple to describe. However, constructing distributed algorithms by which simple agents can self-organize such patterns involves some interesting challenges whose solutions provide insight into more complex local-to-global problems. This coding exercise walks you through the construction of some basic 1-D pattern formation algorithms. It is divid...

Forward scattering and backscattering play an exceptional role in the physics of two-dimensional interacting fermions. In a Fermi liquid, both give rise to nonanalytic ${\ensuremath{\omega}}^{2}ln(\ensuremath{\omega})$ form fermionic rate at second order interaction. Here we argue that higher powers $ln(\ensuremath{\omega})$ appear contribution orders. We show these terms come from ``planar'' p...