Radial modes of pressure bumps and dips in astrophysical discs

Fuente: arXiv
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Main Authors: Leclerc, Armand, Laibe, Guillaume, Lynch, Elliot, Perez, Nicolas
Format: Preprint
Published: 2025
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_version_ 1866914514132271104
author Leclerc, Armand
Laibe, Guillaume
Lynch, Elliot
Perez, Nicolas
author_facet Leclerc, Armand
Laibe, Guillaume
Lynch, Elliot
Perez, Nicolas
contents This study investigates the signatures of pressure extrema on global oscillations in discs. To this end, we use the framework of wave topology to establish a generalised local dispersion relation that includes pressure gradients. We highlight the influence of a previously unrecognized epicyclic-acoustic frequency and derive an analytical criterion for the existence of a branch of modes transiting between the inertial and the pressure bands. We find that pressure extrema consist of wave guides in which such topological modes propagate. The fundamental mode trapped at a pressure bump can propagate at all frequencies, allowing it to resonate with any temporal forcing, while the mode associated with a pressure gap propagates at a fixed frequency, propagates with arbitrary vertical phase velocity. These specific features make them attractive candidates for future discoseismology.
format Preprint
id arxiv_https___arxiv_org_abs_2512_05737
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Radial modes of pressure bumps and dips in astrophysical discs
Leclerc, Armand
Laibe, Guillaume
Lynch, Elliot
Perez, Nicolas
Earth and Planetary Astrophysics
Mesoscale and Nanoscale Physics
Fluid Dynamics
This study investigates the signatures of pressure extrema on global oscillations in discs. To this end, we use the framework of wave topology to establish a generalised local dispersion relation that includes pressure gradients. We highlight the influence of a previously unrecognized epicyclic-acoustic frequency and derive an analytical criterion for the existence of a branch of modes transiting between the inertial and the pressure bands. We find that pressure extrema consist of wave guides in which such topological modes propagate. The fundamental mode trapped at a pressure bump can propagate at all frequencies, allowing it to resonate with any temporal forcing, while the mode associated with a pressure gap propagates at a fixed frequency, propagates with arbitrary vertical phase velocity. These specific features make them attractive candidates for future discoseismology.
title Radial modes of pressure bumps and dips in astrophysical discs
topic Earth and Planetary Astrophysics
Mesoscale and Nanoscale Physics
Fluid Dynamics
url https://arxiv.org/abs/2512.05737