Flickering of accreting white dwarfs: the remarkable amplitude-flux relation and disc viscosity

TL;DR

This study reveals a universal amplitude-flux relation in accreting white dwarfs across various systems, indicating consistent disc viscosity and a proportional variability amplitude over a wide flux range.

Contribution

It demonstrates a statistically significant, universal amplitude-flux correlation in accreting white dwarfs, suggesting similar disc viscosity across different objects and accretion rates.

Findings

Amplitude of flickering is proportional to flux with a consistent factor.

Strong correlation coefficient of 0.96 confirms the relation.

Disc viscosity appears similar across diverse systems.

Abstract

We analyze optical photometric data of short term variability (flickering) of accreting white dwarfs in cataclysmic variables (KR Aur, MV Lyr, V794 Aql, TT Ari, V425 Cas), recurrent novae (RS Oph and T CrB) and jet-ejecting symbiotic stars (CH Cyg and MWC 560). We find that the amplitude-flux relationship is visible over four orders of magnitude, in the range of fluxes from $10^{29}$ to $10^{33}$ erg s$^{-1}$ \AA$^{-1}$, as a "statistically perfect" correlation with correlation coefficient 0.96 and p-value $ \sim 10^{-28}$. In the above range, the amplitude of variability for any of our 9 objects is proportional to the flux level with (almost) one and the same factor of proportionality for all 9 accreting white dwarfs with $\Delta F = 0.36 (\pm 0.05) F_{av}$, $\sigma_{rms} = 0.086(\pm 0.011) F_{av}$, and $\sigma_{rms} / \Delta F = 0.24 \pm 0.02$. Over all, our results indicate that the viscosity in the accretion discs is practically the same for all 9 objects in our sample, in the mass accretion rate range $2 \times 10^{-11} - 2\times10^{-7}$ $M_\odot$ yr$^{-1}$.