Anomalous Entropic Behavior Observed in Quasar 3C 273

TL;DR

This study analyzes multi-wavelength light curves of Quasar 3C 273, revealing nonextensive statistical behavior characterized by q-Gaussian distributions and an anomalous entropy-energy relationship across different wavebands.

Contribution

It is the first comprehensive analysis showing that all light curves of Quasar 3C 273 follow q-Gaussian distributions, indicating nonextensive behavior and revealing an anomalous entropy-energy relationship.

Findings

All light curves follow q-Gaussian distributions.

q values are mostly greater than 1, indicating nonextensivity.

Entropy shows anomalous behavior in infrared and gamma-ray bands.

Abstract

We investigate the flux intensities spanning from radio waves to $\gamma$-rays across 36 light curves of Quasar 3C 273, utilizing publicly available data collected by the Integral Science Data Centre (ISDC) database. Our analysis reveals a consistent adherence of all light curves from this quasar to $q$-Gaussian distribution. This compelling finding strongly suggests a nonextensive behavior exhibited by Quasar 3C 273. Moreover, we derive the $q$ entropic indices for these light curves, providing insights into the degree of nonextensivity, where cases with $q>1$ were primarily observed. Utilizing this index, we estimate the nonextensive entropy ($S_{q}$) and explore its correlation with the energy (in eV) and the $q$ index. Notably, we observe a tendency for the $q$ value to increase as the Tsallis entropy decreases. Remarkably, our most significant observation pertains to the relationship between the entropy $S_{q}$ and the energy of the source. We identify an anomalous behavior in entropy, particularly evident in the infrared and $\gamma$-ray wavebands.