The motion of a single active particle in one dimension with quenched disorder under the
external force is investigated. Within the tailored parameter range, anomalous diffusion that …

We study long-range power-law correlated disorder on square and cubic lattices. In
particular, we present high-precision results for the percolation thresholds and the fractal …

This paper aims to investigate particle dynamics in a random environment, subjected to
power-law time-dependent temperature. To this end, the scaled Brownian motion (SBM), a …

Field-driven particle diffusion in heterogeneous viscoelastic environments is a ubiquitous
process in biological systems such as cell cytoplasm. In this paper, we study the behavior of …

Normal diffusion in corrugated potentials with spatially uncorrelated Gaussian energy
disorder famously explains the origin of non-Arrhenius exp [-σ 2/(k BT 2)] temperature …

Logarithmic or Sinai-type subdiffusion is usually associated with random force disorder and
nonstationary potential fluctuations whose root-mean-squared amplitude grows with …

Viscoelastic subdiffusion governed by a fractional Langevin equation is studied numerically
in a random Gaussian environment modeled by stationary Gaussian potentials with …

This work justifies further paradigmatic importance of the model of viscoelastic subdiffusion
in random environments for the observed subdiffusion in cellular biological systems …

The influences of correlated spatially random perturbations (SRPs) on the first passage
problem are studied in a linear-cubic potential with a time-changing external force driven by …

An all-optical method of setting a disordered password on different schemes of photonic
memory is theoretically studied. While photons are regarded as ideal information carriers, it …