662 citations · 11.9k across the 197 of their papers we have counts for
18 papers · 1 filter
Comb model with slow and ultraslow diffusion
Trifce Sandev, Alexander Iomin, Holger Kantz +2
We consider a generalised diffusion equation in two dimensions for modeling diffusion on a comb-like structures. We analyse the probability distribution functions and we derive the…
First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time
Aljaz Godec, Ralf Metzler
The first passage is a generic concept for quantifying when a random quantity such as the position of a diffusing molecule or the value of a stock crosses a preset threshold (targe…
Anomalous, non-Gaussian tracer diffusion in heterogeneously crowded environments
Surya K. Ghosh, Andrey G. Cherstvy, Denis S. Grebenkov +1
A topic of intense current investigation pursues the question how the highly crowded environment of biological cells affects the dynamic properties of passively diffusing particles…
Facilitation of polymer looping and giant polymer diffusivity in crowded solutions of active particles
J. Shin, A. G. Cherstvy, W. K. Kim +1
We study the dynamics of polymer chains in a bath of self-propelled particles (SPP) by extensive Langevin dynamics simulations in a two dimensional system. Specifically, we analyse…
Quantifying the non-ergodicity of scaled Brownian motion
Hadiseh Safdari, Andrey G. Cherstvy, Aleksei V. Chechkin +3
We examine the non-ergodic properties of scaled Brownian motion, a non-stationary stochastic process with a time dependent diffusivity of the form . We compute…
Real sequence effects on the search dynamics of transcription factors on DNA
Maximilian Bauer, Emil S. Rasmussen, Michael A. Lomholt +1
Recent experiments show that transcription factors (TFs) indeed use the facilitated diffusion mechanism to locate their target sequences on DNA in living bacteria cells: TFs altern…