457 citations · 502 across the 4 of their papers we have counts for
4 papers
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…
Langevin equation in heterogeneous landscapes: how to choose the interpretation
Adrian Pacheco-Pozo, Michał Balcerek, Agnieszka Wyłomańska +3
The Langevin equation is a common tool to model diffusion at a single-particle level. In non-homogeneous environments, such as aqueous two-phase systems or biological condensates w…
Anomalous Diffusion of Self-Propelled Particles in Directed Random Environments
M. Reza Shaebani, Zeinab Sadjadi, Igor M. Sokolov +2
We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism…
Retarding Sub- and Accelerating Super-Diffusion Governed by Distributed Order Fractional Diffusion Equations
A. V. Chechkin, R. Gorenflo, I. M. Sokolov
We propose diffusion-like equations with time and space fractional derivatives of the distributed order for the kinetic description of anomalous diffusion and relaxation phenomena,…