6 citations · 7 across the 22 of their papers we have counts for
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Reaction-Diffusion Processes with Surface Autocatalysis
Denis S. Grebenkov
Autocatalytic processes underlie diverse systems in which replication is triggered at interfaces, including heterogeneous catalysis on solid substrates, enzyme activity at membrane…
Reactive capacitance of flat patches of arbitrary shape
Denis S. Grebenkov, Raphael Maurette
We investigate the capacity of a flat partially reactive patch of arbitrary shape to trap independent particles that undergo steady-state diffusion in the three-dimensional space.…
Improved boundary homogenization for a sphere with an absorbing cap of arbitrary size
Denis S. Grebenkov
Finding accurate approximations for the effective reactivity of a structured spherical target with a circular absorbing patch of arbitrary size is a long-standing problem in chemic…
Imperfect diffusion-controlled reactions on a torus and on a pair of balls
Denis S. Grebenkov
We employ a general spectral approach based on the Steklov eigenbasis to describe imperfect diffusion-controlled reactions on bounded reactive targets in three dimensions. The stea…
Adsorption and permeation events in molecular diffusion
Denis S. Grebenkov
How many times a diffusing molecule can permeate across a membrane or be adsorbed on a substrate? We employ the encounter-based approach to find the statistics of adsorption or per…
Diffusion-controlled reactions: an overview
Denis S. Grebenkov
We review the milestones in the century-long development of the theory of diffusion-controlled reactions. Starting from the seminal work by von Smoluchowski who recognized the impo…