Restricted diffusion is a common feature of many physicochemical, biological, and industrial
processes. Nuclear magnetic resonance techniques are often used to survey the atomic or …

We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …

Diffusion-mediated surface phenomena are crucial for human life and industry, with
examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis …

We revise the classical problem of characterizing first exit times of a harmonically trapped
particle whose motion is described by a one-or multidimensional Ornstein–Uhlenbeck …

Grid-free Monte Carlo methods based on the walk on spheres (WoS) algorithm solve
fundamental partial differential equations (PDEs) like the Poisson equation without …

Textbook concepts of diffusion-versus kinetic-control are well-defined for reaction-kinetics
involving macroscopic concentrations of diffusive reactants that are adequately described by …

Diffusion-mediated absorption by partially-reactive targets: Brownian functionals and
generalized propagators - IOPscience Skip to content IOP Science home Accessibility Help …

We develop an encounter-based approach for describing restricted diffusion with a gradient
drift toward a partially reactive boundary. For this purpose, we introduce an extension of the …

Diffusion through semi-permeable structures arises in a wide range of processes in the
physical and life sciences. Examples at the microscopic level range from artificial …

We consider the first-passage problem for N identical independent particles that are initially
released uniformly in a finite domain Ω and then diffuse toward a reactive area Γ, which can …