We study three-dimensional diffusive transport of particles through a double-cone channel under stochastic resetting by means of the modified Fick–Jacobs equation. Exact analytical expressions for the unconditional first-passage density and the mean first-passage times in the channel are obtained, and their behavior as a function of the resetting rate is highlighted. Our results show a difference in the mean first-passage times between a narrow–wide–narrow and wide–narrow–wide double-cone geometry. We find in the narrow–wide–narrow double-cone channel with absorbing boundaries a discontinuous transition for the optimal resetting rates, which is not present for the wide–narrow–wide double-cone channel. Furthermore, it is shown how resetting can expedite or slow down the escape of the particle through the double-cone channel. Our results extend the solutions obtained by Jain et al. [J. Chem. Phys. 158, 054113 (2023)].
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