Single-particle traces of the diffusive motion of molecules, cells, or animals are by now
routinely measured, similar to stochastic records of stock prices or weather data …

Deviations from Brownian motion leading to anomalous diffusion are found in transport
dynamics from quantum physics to life sciences. The characterization of anomalous diffusion …

Modern single-particle-tracking techniques produce extensive time-series of diffusive motion
in a wide variety of systems, from single-molecule motion in living-cells to movement …

Diffusion transport of nanoparticles in confined environments of macromolecular networks is
common in diverse physical systems and regulates many biological responses …

Diffusion occurs in numerous physical systems throughout nature, drawing its generality
from the universality of the central limit theorem. Approximately a century ago it was realized …

Identifying dissipation is essential for understanding the physical mechanisms underlying
nonequilibrium processes. In living systems, for example, the dissipation is directly related to …

The non-thermal nature of self-propelling colloids offers new insights into non-equilibrium
physics. The central mathematical model to describe their trajectories is active Brownian …

Anomalous diffusion plays a crucial rule in understanding molecular-level dynamics by
offering valuable insights into molecular interactions, mobility states and the physical …

Recent progress in single-particle tracking has shown evidence of the non-Gaussian
distribution of displacements in living cells, both near the cellular membrane and inside the …

Despite the success of fractional Brownian motion (fBm) in modeling systems that exhibit
anomalous diffusion due to temporal correlations, recent experimental and theoretical …