The effects of quenched disorder on a single and many active run-and-tumble particles are
studied in one dimension. For a single particle, we consider both the steady-state …

Topological insulators are insulators in the bulk but feature chiral energy propagation along
the boundary. This property is topological in nature and therefore robust to disorder …

Topology has become important in understanding condensed matter physics and photonics,
such as the quantum Hall effect. Recently, interest has grown in applying topology to …

A particle that is immersed in a uniform temperature bath performs Brownian diffusion, as
discussed by Einstein. But Sinai has realized that in a'random environment'the diffusion is …

We consider prototype configurations for quasi-one-dimensional stochastic networks that
exhibit negative mobility, meaning that current decreases or even reversed as the bias is …