Improved boundary homogenization for a sphere with an absorbing cap of arbitrary size
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909689996902400 |
|---|---|
| author | Grebenkov, Denis S. |
| author_facet | Grebenkov, Denis S. |
| contents | Finding accurate approximations for the effective reactivity of a structured spherical target with a circular absorbing patch of arbitrary size is a long-standing problem in chemical physics. In this Communication, we reveal limitations of the empirical approximation proposed in [J. Chem. Phys. 145, 214101 (2016)]. We show that the original approximation fails at large patch surface fractions $σ$ and propose a simple amendment. The improved approximation is validated against a semi-analytical solution and is shown to be accurate over the entire range of $σ$ from $0$ to $1$. This approximation also determines the probability of reaction on the patch and the capacitance of such a structured target. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11197 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved boundary homogenization for a sphere with an absorbing cap of arbitrary size Grebenkov, Denis S. Chemical Physics Finding accurate approximations for the effective reactivity of a structured spherical target with a circular absorbing patch of arbitrary size is a long-standing problem in chemical physics. In this Communication, we reveal limitations of the empirical approximation proposed in [J. Chem. Phys. 145, 214101 (2016)]. We show that the original approximation fails at large patch surface fractions $σ$ and propose a simple amendment. The improved approximation is validated against a semi-analytical solution and is shown to be accurate over the entire range of $σ$ from $0$ to $1$. This approximation also determines the probability of reaction on the patch and the capacitance of such a structured target. |
| title | Improved boundary homogenization for a sphere with an absorbing cap of arbitrary size |
| topic | Chemical Physics |
| url | https://arxiv.org/abs/2507.11197 |