11 papers
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…
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.…
The Effective Reactivity for Capturing Brownian Motion by Partially Reactive Patches on a Spherical Surface
Denis S. Grebenkov, Michael J. Ward
We analyze the trapping of diffusing ligands, modeled as Brownian particles, by a sphere that has partially reactive boundary patches, each of small area and arbitrary shape, o…
Competition of small targets in planar domains: from Dirichlet to Robin and Steklov boundary condition
Denis S. Grebenkov, Michael J. Ward
We consider steady-state diffusion in a bounded planar domain with multiple small targets on a smooth boundary. Using the method of matched asymptotic expansions, we investigate th…
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…
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…