28 citations · 109 across the 13 of their papers we have counts for
4 papers · 1 filter
Heterogeneous diffusion in an harmonic potential: the role of the interpretation
Adrian Pacheco-Pozo, Igor M. Sokolov, Ralf Metzler +1
Diffusion in heterogeneous energy and diffusivity landscapes is widespread in biological systems. However, solving the Langevin equation in such environments introduces ambiguity d…
Multifractional Brownian motion with telegraphic, stochastically varying exponent
Michał Balcerek, Samudrajit Thapa, Krzysztof Burnecki +4
The diversity of diffusive systems exhibiting long-range correlations characterized by a stochastically varying Hurst exponent calls for a generic multifractional model. We present…
Fickian yet non-Gaussian diffusion in an annealed heterogeneous environment
Seongyu Park, Xavier Durang, Ralf Metzler +1
Fickian yet non-Gaussian diffusion is a ubiquitous phenomenon observed in various biological and soft matter systems. This anomalous dynamics is typically attributed to heterogeneo…
Exactly solvable diffusions from space-time transformations
Costantino Di Bello, Édgar Roldán, Ralf Metzler
We consider a general one-dimensional overdamped diffusion model described by the Itô stochastic differential equation (SDE) , where is the st…