Local Analysis of Nonlinear Oscillations of Thin Accretion Disks

TL;DR

This paper calculates coupling coefficients for nonlinear oscillatory modes in thin accretion disks, highlighting their potential role in resonance phenomena relevant to QPO models.

Contribution

It provides the first detailed calculation of mode coupling coefficients in thin accretion disks, linking nonlinear oscillations to resonance mechanisms.

Findings

Several coupling coefficients are non-zero

Mode coupling is necessary for resonance

Results may inform QPO resonance models

Abstract

We calculated the coupling coefficients for non-linear, quasi-local oscillatory modes of thin accretion disks. We found that several of them are non-zero. Mode coupling is a necessary condition for a resonance, and thus our results may be relevant for the recently discussed QPO resonance model.