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- W4310273237 abstract "Abstract Narrow escape and narrow capture problems which describe the average times required to stop the motion of a randomly travelling particle within a domain have applications in various areas of science. While for general domains, it is known how the escape time decreases with the increase of the trap sizes, for some specific 2D and 3D domains, higher-order asymptotic formulas have been established, providing the dependence of the escape time on the sizes and locations of the traps. Such results allow the use of global optimisation to seek trap arrangements that minimise average escape times. In a recent paper (Iyaniwura (2021) SIAM Rev. 63 (3), 525–555), an explicit size- and trap location-dependent expansion of the average mean first passage time (MFPT) in a 2D elliptic domain was derived. The goal of this work is to systematically seek global minima of MFPT for $1leq Nleq 50$ traps in elliptic domains using global optimisation techniques and compare the corresponding putative optimal trap arrangements for different values of the domain eccentricity. Further, an asymptotic formula for the average MFPT in elliptic domains with N circular traps of arbitrary sizes is derived, and sample optimal configurations involving non-equal traps are computed." @default.
- W4310273237 created "2022-11-30" @default.
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- W4310273237 date "2022-11-28" @default.
- W4310273237 modified "2023-09-26" @default.
- W4310273237 title "Global optimisation of the mean first passage time for narrow capture problems in elliptic domains" @default.
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- W4310273237 doi "https://doi.org/10.1017/s0956792522000341" @default.
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