662 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of PotsdamDE34 papers
- University of HelsinkiFI26 papers
- Aalto UniversityFI23 papers
- Tampere UniversityFI18 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Northeastern UniversityUS17 papers
- University of JyväskyläFI14 papers
- Brown UniversityUS13 papers
- Technical University of MunichDE13 papers
- Aarhus UniversityDK12 papers
- Helsinki Institute of PhysicsFI10 papers
- Charles UniversityCZ9 papers
8 papers · 2 filters
Diffusion of finite-size particles in channels with random walls
Max Bauer, Aljaz Godec, Ralf Metzler
Diffusion of chemicals or tracer molecules through complex systems containing irregularly shaped channels is important in many applications. Most theoretical studies based on the f…
Particle invasion, survival, and non-ergodicity in 2D diffusion processes with space-dependent diffusivity
Andrey G. Cherstvy, Aleksei V. Chechkin, Ralf Metzler
We study the thermal Markovian diffusion of tracer particles in a 2D medium with spatially-varying diffusivity , mimicking recently measured, heterogeneous maps of the appare…
Speeding up the first-passage for subdiffusion by introducing a finite potential barrier
Vladimir Palyulin, Ralf Metzler
We show that for a subdiffusive continuous time random walk with scale-free waiting time distribution the first-passage dynamics on a finite interval can be optimised by introducti…
Correlated continuous-time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics
Johannes HP Schulz, Aleksei V Chechkin, Ralf Metzler
Standard continuous time random walk (CTRW) models are renewal processes in the sense that at each jump a new, independent pair of jump length and waiting time are chosen. Globally…
Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes
Andrey G. Cherstvy, Ralf Metzler
We consider diffusion processes with a spatially varying diffusivity giving rise to anomalous diffusion. Such heterogeneous diffusion processes are analysed for the cases of expone…
Transient ageing in fractional Brownian and Langevin equation motion
Jochen Kursawe, Johannes Schulz, Ralf Metzler
Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevin equation motion, are usually considered to be ergod…
Noisy continuous time random walks
Jae-Hyung Jeon, Eli Barkai, R. Metzler
Experimental studies of the diffusion of biomolecules in the environment of biological cells are routinely confronted with multiple sources of stochasticity, whose identification r…
Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes
Andrey G. Cherstvy, Aleksei V. Chechkin, Ralf Metzler
We demonstrate the non-ergodicity of a simple Markovian stochastic processes with space-dependent diffusion coefficient . For power-law forms , this process…