---
DOAJ_listed: '1'
OA_place: publisher
OA_type: diamond
PlanS_conform: '1'
_id: '23047'
abstract:
- lang: eng
  text: "Aims. We investigate signatures of pressure extrema on global oscillations
    in discs.\r\n\r\nMethods. We used the framework of wave topology to establish
    a generalised local dispersion relation that includes pressure gradients. We highlight
    the influence of a previously unrecognised epicyclic–acoustic frequency, and we
    derive an analytical criterion for the existence of a branch of modes transiting
    between the inertial and the pressure bands, known as topological modes.\r\n\r\nResults.
    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 any frequency, allowing it to resonate with any temporal forcing. Conversely,
    the fundamental mode associated with a pressure dip propagates at any vertical
    phase velocity. These specific features make them attractive candidates for future
    discoseismology."
acknowledgement: "AL was funded by Contrat Doctoral Spécifique Normaliens during this
  work. GL, EL and NP acknowledge funding from\r\nERC CoG project PODCAST No 864965.
  AL acknowledges funding\r\nfrom ERC StG project Calcifer No 101165631. We used Mathematica\r\n(Wolfram
  Research Inc, 2024).\r\n"
article_number: A355
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Armand
  full_name: Leclerc, Armand
  id: 2a1fb1fc-f373-11ef-901a-87cee43a1217
  last_name: Leclerc
- first_name: Guillaume
  full_name: Laibe, Guillaume
  last_name: Laibe
- first_name: Elliot
  full_name: Lynch, Elliot
  last_name: Lynch
- first_name: Nicolas
  full_name: Perez, Nicolas
  last_name: Perez
citation:
  ama: Leclerc A, Laibe G, Lynch E, Perez N. Radial modes of pressure bumps and dips
    in astrophysical discs. <i>Astronomy and Astrophysics</i>. 2026;708. doi:<a href="https://doi.org/10.1051/0004-6361/202558428">10.1051/0004-6361/202558428</a>
  apa: Leclerc, A., Laibe, G., Lynch, E., &#38; Perez, N. (2026). Radial modes of
    pressure bumps and dips in astrophysical discs. <i>Astronomy and Astrophysics</i>.
    EDP Sciences. <a href="https://doi.org/10.1051/0004-6361/202558428">https://doi.org/10.1051/0004-6361/202558428</a>
  chicago: Leclerc, Armand, Guillaume Laibe, Elliot Lynch, and Nicolas Perez. “Radial
    Modes of Pressure Bumps and Dips in Astrophysical Discs.” <i>Astronomy and Astrophysics</i>.
    EDP Sciences, 2026. <a href="https://doi.org/10.1051/0004-6361/202558428">https://doi.org/10.1051/0004-6361/202558428</a>.
  ieee: A. Leclerc, G. Laibe, E. Lynch, and N. Perez, “Radial modes of pressure bumps
    and dips in astrophysical discs,” <i>Astronomy and Astrophysics</i>, vol. 708.
    EDP Sciences, 2026.
  ista: Leclerc A, Laibe G, Lynch E, Perez N. 2026. Radial modes of pressure bumps
    and dips in astrophysical discs. Astronomy and Astrophysics. 708, A355.
  mla: Leclerc, Armand, et al. “Radial Modes of Pressure Bumps and Dips in Astrophysical
    Discs.” <i>Astronomy and Astrophysics</i>, vol. 708, A355, EDP Sciences, 2026,
    doi:<a href="https://doi.org/10.1051/0004-6361/202558428">10.1051/0004-6361/202558428</a>.
  short: A. Leclerc, G. Laibe, E. Lynch, N. Perez, Astronomy and Astrophysics 708
    (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: "The scripts written and used for numerical calculations\r\nare
  accessible at https://github.com/ArmandLeclerc/\r\nradialStratifDisc."
date_created: 2026-10-04T22:01:54Z
date_published: 2026-04-01T00:00:00Z
date_updated: 2026-10-07T12:17:34Z
day: '01'
ddc:
- '520'
department:
- _id: LiBu
doi: 10.1051/0004-6361/202558428
external_id:
  arxiv:
  - '2512.05737'
file:
- access_level: open_access
  checksum: 868c1be53a4f3e0cf2852a723fcacd08
  content_type: application/pdf
  creator: dernst
  date_created: 2026-10-07T12:13:55Z
  date_updated: 2026-10-07T12:13:55Z
  file_id: '23075'
  file_name: 2026_AstronomyAstrophysics_Leclerc.pdf
  file_size: 10533299
  relation: main_file
  success: 1
file_date_updated: 2026-10-07T12:13:55Z
fulldoi: https://doi.org/10.1051/0004-6361/202558428
has_accepted_license: '1'
intvolume: '       708'
keyword:
- accretion
- accretion disks
- hydrodynamics
- instabilities
- waves
- protoplanetary disks
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: 914d8549-16d5-11f0-9cad-bbe6324c93a9
  grant_number: '101165631'
  name: 'Unveiling the mysteries of stellar dynamics: a pioneering journey in magnetoasteroseismology'
publication: Astronomy and Astrophysics
publication_identifier:
  eissn:
  - 1432-0746
  issn:
  - 0004-6361
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Radial modes of pressure bumps and dips in astrophysical discs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 708
year: '2026'
...