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arXiv · 2605.03730

Total transmission modes in draining bathtub model with vorticity

Zhe Yu·Liang-Bi Wu
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Abstract

We investigate the total transmission modes (TTMs) in the draining bathtub model (DBM) with vorticity using the Chebyshev-Lobatto pseudospectral method, where the boundary conditions of the total transmission modes are both ingoing at the event horizon and infinity. Numerical results show that the (right) TTM spectra can possess positive imaginary parts, while for certain parameters they acquire negative imaginary parts. The extreme sensitivity of the higher overtones is manifested as their pronounced spectral mobility.

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Zhe Yu, Liang-Bi Wu. 2026-05-05. Total transmission modes in draining bathtub model with vorticity. https://arxiv.org/abs/2605.03730

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