Numerical test of the method for revealing traces of deterministic chaos in the accreting black holes

TL;DR

This paper tests a new method to detect chaotic behavior in the accretion flows of black holes by analyzing numerical simulations of particle motion, aiming to link variability in X-ray emissions to underlying nonlinear dynamics.

Contribution

The study introduces and validates a novel technique for identifying chaos in accretion disk models through numerical analysis of particle trajectories.

Findings

Successfully distinguished between regular and chaotic particle motions.

Demonstrated the method's potential to reveal chaos in black hole accretion flows.

Supports the hypothesis that black hole variability may be governed by low-dimensional chaos.

Abstract

The high energy radiation emitted by black hole X-ray binaries originates in an accretion disk, hence the variability of the lightcurves mirrors the dynamics of the disc. We study the time evolution of the emitted flux in order to find evidences, that low dimensional non-linear equations govern the accretion flow. Here we test the capabilities of our novel method to find chaotic behaviour on the two numerical time series describing the motion of a test particle around a black hole surrounded by a thin massive disc, one being regular and the other one chaotic.