Brownian motion and viscoelastic anomalous diffusion in homogeneous environments are
intrinsically Gaussian processes. In a growing number of systems, however, non-Gaussian …

A growing number of biological, soft, and active matter systems are observed to exhibit
normal diffusive dynamics with a linear growth of the mean-squared displacement, yet with a …

Although water is the most ubiquitous liquid it shows many thermodynamic and dynamic
anomalies. Some of the anomalies further intensify in the supercooled regime. While many …

Most biochemical reactions in living cells rely on diffusive search for target molecules or
regions in a heterogeneous overcrowded cytoplasmic medium. Rapid rearrangements of the …

Numerous examples for a priori unexpected non-Gaussian behaviour for normal and
anomalous diffusion have recently been reported in single-particle tracking experiments …

A considerable number of systems have recently been reported in which Brownian yet non-
Gaussian dynamics was observed. These are processes characterised by a linear growth in …

Scaled Brownian motions (SBMs) with power-law time-dependent diffusivity have been used
to describe various types of anomalous diffusion yet Gaussian observed in granular gases …

Brownian motion is a ubiquitous physical phenomenon across the sciences. After its
discovery by Brown and intensive study since the first half of the 20th century, many different …

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 …

A long-distance hop of diffusive nanoparticles (NPs) in crowded environments was
commonly considered unlikely, and its characteristics remain unclear. In this work, we …