Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

The optics of correlated disordered media is a conceptually rich research topic emerging at
the interface between the physics of waves in complex media and nanophotonics. Inspired …

Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

Fractional calculus is a rapidly growing field of research, at the interface between probability,
differential equations, and mathematical physics. It is used to model anomalous diffusion, in …

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology
provides a physical review of fractional operators, fractional variable order operators, and …

Individual swimming bacteria are known to bias their random trajectories in search of food
and to optimize survival. The motion of bacteria within a swarm, wherein they migrate as a …

Diffusion in the plasma membrane of living cells is often found to display anomalous
dynamics. However, the mechanism underlying this diffusion pattern remains highly …

Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

Suspensions of aerobic bacteria often develop flows from the interplay of chemotaxis and
buoyancy. We find in sessile drops that flows related to those in the Boycott effect of …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …