28 citations · 109 across the 13 of their papers we have counts for
13 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…
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…
Pb transport on Si(111)-(7x7) following tip induced imbalance
Paul Philip Schmidt, Felix Hartmann, Lea Faber +3
Pb on Si(111)-(7x7) shows surprising nucleation and mass transport dynamics at odds with standard theories. To create local imbalances on stable Pb islands we use the tip of a scan…
Change-point detection in anomalous-diffusion trajectories utilising machine-learning-based uncertainty estimates
Henrik Seckler, Ralf Metzler
When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory.…
Competing random searchers under restarts
R. K. Singh, R. Metzler, T. Sandev
We study independent searchers competing for a target under restarts and find that introduction of restarts tends to enhance the search efficiency of an already efficient searcher.…
The Dance of Odd-Diffusive Particles: A Fourier Approach
Amelie Langer, Abhinav Sharma, Ralf Metzler +1
Odd-diffusive systems are characterized by transverse responses and exhibit unconventional behaviors in interacting systems. To address the dynamical interparticle rearrangements i…
A general mechanism for enhancer-insulator pairing reveals heterogeneous dynamics in long-distant 3D gene regulation
Lucas Hedström, Ralf Metzler, Ludvig Lizana
Cells regulate fates and complex body plans using spatiotemporal signaling cascades that alter gene expression. Enhancers, short DNA sequences (50-150 base pairs), help coordinate…
Multifractal-spectral features enhance classification of anomalous diffusion
Henrik Seckler, Ralf Metzler, Damian G. Kelty-Stephen +1
Anomalous diffusion processes pose a unique challenge in classification and characterization. Previously (Mangalam et al., 2023, Physical Review Research 5, 023144), we established…
Non-Gaussian displacements in active transport on a carpet of motile cells
Robert Großmann, Lara S. Bort, Ted Moldenhawer +3
We study the dynamics of micron-sized particles on a layer of motile cells. This cell carpet acts as an active bath that propels passive tracer particles via direct mechanical cont…
Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
Erik Kalz, Abhinav Sharma, Ralf Metzler
A first-principles approach for active chiral hard disks is presented, that explicitly accounts for steric interactions on the two-body level. We derive an effective one-body equat…
Stochastic dynamics with multiplicative dichotomic noise: heterogeneous telegrapher's equation, anomalous crossovers and resetting
Trifce Sandev, Ljupco Kocarev, Ralf Metzler +1
We analyze diffusion processes with finite propagation speed in a non-homogeneous medium in terms of the heterogeneous telegrapher's equation. In the diffusion limit of infinite-ve…