Skip to Main content Skip to Navigation
Theses

Application des méthodes du chaos quantique aux oscillations d'étoiles en rotation rapide

Michael Pasek 1 
1 Information et Chaos Quantiques (LPT)
LPT - Laboratoire de Physique Théorique
Abstract : Asteroseismology aims at inferring internal properties of stars from the analysis of their oscillation mode frequencies. This analysis can be greatly facilitated by an a priori information on the basic structure of the oscillation spectrum given by an asymptotic formula. Up to now, the only existing asymptotic formula for stellar oscillations was derived in the spherically symmetric case. For a rapidly rotating star, spherical symmetry is broken by the centrifugal force, and thus an adequate asymptotic theory was missing. Yet, rapid rotation is common among non-evolved intermediate mass and massive pulsating stars, and many of them are found in the data of asteroseismology space missions CoRoT and Kepler. The ray limit of pressure waves that causes stellar oscillations can be described by a Hamiltonian dynamical system. It was shown that this system undergoes a transition, as the rotation rate of the star increases, from an integrable to a mixed system where stable and chaotic regions coexist in phase space. In this thesis, it is shown how to obtain semi-analytical formulas for regular frequency spacings in the pressure mode spectrum of rapidly rotating stars by using ray theory and techniques from quantum chaos. These formulas relate regular frequency spacings to physical properties of the star, which provides a new theoretical tool for the asteroseismology of rapidly rotating stars.
Complete list of metadata

Cited literature [186 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00997861
Contributor : Michael Pasek Connect in order to contact the contributor
Submitted on : Thursday, May 29, 2014 - 2:25:41 PM
Last modification on : Monday, July 4, 2022 - 9:27:22 AM
Long-term archiving on: : Friday, August 29, 2014 - 10:40:59 AM

Identifiers

  • HAL Id : tel-00997861, version 1

Citation

Michael Pasek. Application des méthodes du chaos quantique aux oscillations d'étoiles en rotation rapide. Dynamique Chaotique [nlin.CD]. Université Paul Sabatier - Toulouse III, 2012. Français. ⟨tel-00997861⟩

Share

Metrics

Record views

374

Files downloads

366