264 citations · 3.4k across the 103 of their papers we have counts for
12 papers · 1 filter
Effects of target anisotropy on harmonic measure and mean first-passage time
Adrien Chaigneau, Denis S. Grebenkov
In this paper, we investigate the influence of target anisotropy on two characteristics of diffusion-controlled reactions: harmonic measure density and mean first-passage time. Fir…
Survival in a nanoforest of absorbing pillars
Denis S. Grebenkov, Alexei T. Skvortsov
We investigate the survival probability of a particle diffusing between two parallel reflecting planes toward a periodic array of absorbing pillars. We approximate the periodic cel…
Diffusion towards a nanoforest of absorbing pillars
Denis S. Grebenkov, Alexei T. Skvortsov
Spiky coatings (also known as nanoforests or Fakir-like surfaces) have found many applications in chemical physics, material sciences and biotechnology, such as superhydrophobic ma…
Encounter-based approach to diffusion with resetting
Ziyad Benkhadaj, Denis S. Grebenkov
An encounter-based approach consists in using the boundary local time as a proxy for the number of encounters between a diffusing particle and a target to implement various surface…
Search efficiency in the Adam-Delbrück reduction-of-dimensionality scenario versus direct diffusive search
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
The time instant -- the first-passage time (FPT) -- when a diffusive particle (e.g., a ligand such as oxygen or a signalling protein) for the first time reaches an immobile target…
Spectral branch points of the Bloch-Torrey operator
Nicolas Moutal, Denis S. Grebenkov
We investigate the peculiar feature of non-Hermitian operators, namely, the existence of spectral branch points (also known as exceptional or level crossing points), at which two (…