Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes with Periodic Patterns of Reactive Sites

DOI10.1137/17M1162512zbMath1403.35030OpenAlexW2892946085WikidataQ58933844 ScholiaQ58933844MaRDI QIDQ4689158

Daniel D. Schmidt, Andrew J. Bernoff, Alan E. Lindsay

Publication date: 15 October 2018

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1162512

zbMATH Keywords

Brownian motionMonte Carlo methodsBerg-Purcellhigh-order asymptotic estimates

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Green's functions for elliptic equations (35J08)

Related Items (12)

Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte Carlo, Asymptotic, and Boundary Integral Methods ⋮ Survival in a nanoforest of absorbing pillars ⋮ An encounter-based approach for restricted diffusion with a gradient drift ⋮ First-passage times of multiple diffusing particles with reversible target-binding kinetics ⋮ A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3 ⋮ Distribution of extreme first passage times of diffusion ⋮ Slowest first passage times, redundancy, and menopause timing ⋮ Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission ⋮ Bimolecular Binding Rates for Pairs of Spherical Molecules with Small Binding Sites ⋮ Joint distribution of multiple boundary local times and related first-passage time problems with multiple targets ⋮ Competition between slow and fast regimes for extreme first passage times of diffusion ⋮ Statistics of boundary encounters by a particle diffusing outside a compact planar domain

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