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- W4200104581 abstract "We develop an encounter-based approach for describing restricted diffusion with a gradient drift towards a partially reactive boundary. For this purpose, we introduce an extension of the Dirichlet-to-Neumann operator and use its eigenbasis to derive a spectral decomposition for the full propagator, i.e., the joint probability density function for the particle position and its boundary local time. This is the central quantity that determines various characteristics of diffusion-influenced reactions such as conventional propagators, survival probability, first-passage time distribution, boundary local time distribution, and reaction rate. As an illustration, we investigate the impact of a constant drift onto the boundary local time for restricted diffusion on an interval. More generally, this approach accesses how external forces may influence the statistics of encounters of a diffusing particle with the reactive boundary." @default.
- W4200104581 created "2021-12-31" @default.
- W4200104581 creator A5077899527 @default.
- W4200104581 date "2022-01-05" @default.
- W4200104581 modified "2023-10-17" @default.
- W4200104581 title "An encounter-based approach for restricted diffusion with a gradient drift" @default.
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- W4200104581 doi "https://doi.org/10.1088/1751-8121/ac411a" @default.
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