ASYMPTOTIC ANALYSIS FOR THE MEAN FIRST PASSAGE TIME IN FINITE OR SPATIALLY PERIODIC 2D DOMAINS WITH A CLUSTER OF SMALL TRAPS
| العنوان: | ASYMPTOTIC ANALYSIS FOR THE MEAN FIRST PASSAGE TIME IN FINITE OR SPATIALLY PERIODIC 2D DOMAINS WITH A CLUSTER OF SMALL TRAPS |
|---|---|
| المؤلفون: | S. IYANIWURA, M. J. WARD |
| المصدر: | The ANZIAM Journal. 63:1-22 |
| بيانات النشر: | Cambridge University Press (CUP), 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Mathematics (miscellaneous), 0103 physical sciences, 010306 general physics, 01 natural sciences, 010305 fluids & plasmas |
| الوصف: | A hybrid asymptotic-numerical method is developed to approximate the mean first passage time (MFPT) and the splitting probability for a Brownian particle in a bounded two-dimensional (2D) domain that contains absorbing disks, referred to as “traps”, of asymptotically small radii. In contrast to previous studies that required traps to be spatially well separated, we show how to readily incorporate the effect of a cluster of closely spaced traps by adapting a recently formulated least-squares approach in order to numerically solve certain local problems for the Laplacian near the cluster. We also provide new asymptotic formulae for the MFPT in 2D spatially periodic domains where a trap cluster is centred at the lattice points of an oblique Bravais lattice. Over all such lattices with fixed area for the primitive cell, and for each specific trap set, the average MFPT is smallest for a hexagonal lattice of traps. |
| تدمد: | 1446-8735 1446-1811 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::810c6419cd89fdafef8ce2f8b367a792 https://doi.org/10.1017/s1446181121000018 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........810c6419cd89fdafef8ce2f8b367a792 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14468735 14461811 |
|---|