73 citations · 141 across the 38 of their papers we have counts for
16 papers · 1 filter
Diffusion-controlled reactions with time-dependent surface reactivity
Denis S. Grebenkov, Yilin Ye
We investigate diffusion-controlled reactions on a reactive surface with time-dependent reactivity. Starting from a conventional formulation via diffusion equation with Robin bound…
Minimizing capture time with many small traps in heterogeneous media
Denis S. Grebenkov, Theodore Kolokolnikov
We study the problem of optimally placing a large number of small absorbing traps to minimize the mean first-passage time (MFPT) of particles diffusing in a heterogeneous medium wi…
Encounter Propagator for Multiple Targets: A Dirichlet-to-Neumann Spectral Formalism
Denis S. Grebenkov
We develop an encounter-based formulation of restricted diffusion in a bounded domain with multiple targets, resolving separately the boundary local time accumulated on each target…
Survival in a partially reactive wedge
Denis S. Grebenkov
We investigate the power-law decay of the survival probability of a Brownian particle diffusing in an infinite planar wedge whose two sides are partially reactive and described by…
Surviving the Attack of the Clones
Denis S. Grebenkov
We consider a population dynamics model in which each diffusing particle that hits a catalytic surface can split into two independent copies (clones). The particles of such a growi…
Diffusion-Driven Surface Autocatalysis in Exterior Domains
Denis S. Grebenkov
We study the collective dynamics of independent particles that diffuse outside a spherical surface, on which they are replicated with a prescribed catalytic rate. In spatial dimens…
Population dynamics of surface-mediated autocatalytic processes
Denis S. Grebenkov, Yilin Ye
We investigate the population dynamics of surface-mediated autocatalytic processes, in which particles diffuse in a complex environment towards surface regions where they can be ei…
Correlation between the first-reaction time and the acquired boundary local time
Yilin Ye, Denis S. Grebenkov
We investigate the statistical correlation between the first-reaction time of a diffusing particle and its boundary local time accumulated until the reaction event. Since the react…
The geometric control of boundary-catalytic branching processes
Denis S. Grebenkov, Yilin Ye
Boundary-catalytic branching processes describe a broad class of natural phenomena where the population of diffusing particles grows due to their spontaneous binary branching (e.g.…
Local persistence exponent and its log-periodic oscillations
Yilin Ye, Denis S. Grebenkov
We investigate the local persistence exponent of the survival probability of a particle diffusing near an absorbing self-similar boundary. We show by extensive Monte Carlo simulati…
Boundary local time on wedges and prefractal curves
Yilin Ye, Denis S. Grebenkov
We investigate the boundary local time on polygonal boundaries such as finite generations of the Koch snowflake. To reveal the role of angles, we first focus on wedges and obtain t…
Fastest first-passage time statistics for time-dependent particle injection
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
A common scenario in a variety of biological systems is that multiple particles are searching in parallel for an immobile target located in a bounded domain, and the fastest among…
First-passage times to a fractal boundary: local persistence exponent and its log-periodic oscillations
Yilin Ye, Adrien Chaigneau, Denis S. Grebenkov
We investigate the statistics of the first-passage time (FPT) to a fractal self-similar boundary of the Koch snowflake. When the starting position is fixed near the absorbing bound…
Escape from textured adsorbing surfaces
Yuval Scher, Shlomi Reuveni, Denis S. Grebenkov
The escape dynamics of sticky particles from textured surfaces is poorly understood despite importance to various scientific and technological domains. In this work, we address thi…
Encounter-based approach to target search problems: a review
Denis S. Grebenkov
In this review, we present the encounter-based approach to target search problems, in which the diffusive dynamics is described by the joint probability of the position of the part…
Mean first-passage time of surface-mediated diffusion in spherical domains
O. Bénichou, D. S. Grebenkov, P. E. Levitz +2
We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on…