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
7 papers · 2 filters
The RARE model: a generalized approach to random relaxation processes in disordered systems
Iddo Eliazar, Ralf Metzler
This paper introduces and analyses a general statistical model, termed the RARE model, of random relaxation processes in disordered systems. The model considers excitations, that a…
Area coverage of radial Levy flights with periodic boundary conditions
Mahsa Vahabi, Johannes H. P. Schulz, Babak Shokri +1
We consider the time evolution of two-dimensional Levy flights in a finite area with periodic boundary conditions. From simulations we show that the fractal path dimension d_f and…
Finite-time effects and ultraweak ergodicity breaking in superdiffusive dynamics
Aljaz Godec, Ralf Metzler
We study the ergodic properties of superdiffusive, spatiotemporally coupled Levy walk processes. For trajectories of finite duration, we reveal a distinct scatter of the scaling ex…
First passages in bounded domains: When is the mean first passage time meaningful?
Thiago G. Mattos, Carlos Mejía-Monasterio, Ralf Metzler +1
We study the first passage statistics to adsorbing boundaries of a Brownian motion in bounded two-dimensional domains of different shapes and configurations of the adsorbing and re…
Bulk-mediated diffusion on a planar surface: full solution
Aleksei V. Chechkin, Irwin M. Zaid, Michael A. Lomholt +2
We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random walk approach we derive the…
How a finite potential barrier decreases the mean first passage time
Vladimir V. Palyulin, Ralf Metzler
We consider the mean first passage time of a random walker moving in a potential landscape on a finite interval, starting and end points being at different potentials. From analyti…
Inequivalence of time and ensemble averages in ergodic systems: exponential versus power-law relaxation in confinement
Jae-Hyung Jeon, Ralf Metzler
Single particle tracking has become a standard tool to investigate diffusive properties, especially in small systems such as biological cells. Usually the resulting time series are…