Diffusion through permeable interfaces: Fundamental equations and their application to first-passage and local time statistics

The diffusion equation is the primary tool to study the movement dynamics of a free Brownian particle, but when spatial heterogeneities in the form of permeable interfaces are present, no fundamental equation has been derived. Here we obtain such an equation from a microscopic description using a la...

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Bibliographic Details
Main Authors: Toby Kay, Luca Giuggioli
Format: Article
Language:English
Published: American Physical Society 2022-09-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.L032039