TY  - JOUR
A1  - Grebenkov, Denis S.
T1  - An encounter-based approach for restricted diffusion with a gradient drift
JF  - Journal of physics : A, Mathematical and theoretical
N2  - 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 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.
KW  - boundary local time
KW  - reflected Brownian motion
KW  - diffusion-influenced
KW  - reactions
KW  - surface reactivity
KW  - Robin boundary condition
KW  - Heterogeneous
KW  - catalysis
Y1  - 2022
U6  - https://doi.org/10.1088/1751-8121/ac411a
SN  - 1751-8113
SN  - 1751-8121
VL  - 55
IS  - 4
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -