A Comprehensive Power Spectral Density Analysis of Astronomical Time Series. II. The Swift/BAT Long Gamma-Ray Bursts

Abstract

We investigated the prompt light curves (LCs) of long gamma-ray bursts (GRBs) from the Swift/BAT catalog. We aimed to characterize their power spectral densities (PSDs), search for quasiperiodic oscillations (QPOs), and conduct novel analyses directly in the time domain. We analyzed the PSDs using Lomb-Scargle periodograms, and searched for QPOs using wavelet scalograms. We also attempted to classify the GRBs using the Hurst exponent, $H$, and the $\mathcal{A}-\mathcal{T}$ plane. The PSDs fall into three categories: power law (PL; $P(f)\propto 1/f^{\beta }$) with index $\beta \in (0,2)$, PL with a non-negligible Poisson noise level (PLC) with $\beta \in (1,3)$, and a smoothly broken PL (SBPL; with Poisson noise level) yielding high-frequency index ${\beta }_2\in (2,6)$. The latter yields break time scales on the order of 1--100\,seconds. The PL and PLC models are broadly consistent with a fully developed turbulence, $\beta =5/3$. For an overwhelming majority of GRBs (93\%), $H>0.5$, implying ubiquity of the long-term memory. We find no convincing substructure in the $\mathcal{A}-\mathcal{T}$ plane. Finally, we report on 34 new QPOs: with one or more constant leading periods, as well as several chirping signals. The presence of breaks and QPOs suggests the existence of characteristic time scales that in at least some GRBs might be related to the dynamical properties of plasma trajectories in the accretion disks powering the relativistic jets.

arXiv comment22 pages, 9 figures, 2 tables (one online only ancillary file); accepted in ApJ

References in corpus (82)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• The Supernova -- Gamma-Ray Burst Connection
• Understanding the Lomb-Scargle Periodogram
• General Relativistic Magnetohydrodynamic Simulations of Magnetically Choked Accretion Flows around Black Holes
• Short-Hard Gamma-Ray Bursts
• Low frequency QPO spectra and Lense-Thirring precession
• The Complete Spectral Catalog of Bright BATSE Gamma-Ray Bursts
• The Fermi GBM Gamma-Ray Burst Spectral Catalog: Four Years Of Data
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• Combined Long and Short Timescale X-ray Variability of NGC4051 with RXTE and XMM-Newton
• The Third Swift Burst Alert Telescope Gamma-Ray Burst Catalog
• The Fourth Fermi-GBM Gamma-Ray Burst Catalog: A Decade of Data
• The Observer's Guide to the Gamma-Ray Burst-Supernova Connection
• Determination of the Hurst Exponent by Use of Wavelet Transforms
• Flexible and Scalable Methods for Quantifying Stochastic Variability in the Era of Massive Time-Domain Astronomical Data Sets
• The 2nd Fermi GBM Gamma-Ray Burst Catalog: The First Four Years
• The 3rd Fermi GBM Gamma-Ray Burst Catalog: The First Six Years
• Short vs Long and Collapsars vs. non-Collapsar: a quantitative classification of GRBs
• A Periodic Table for Black Hole Orbits
• Spectral Lags and the Lag-Luminosity Relation: An Investigation with Swift BAT Gamma-ray Bursts
• Confronting the models of 3:2 quasiperiodic oscillations with the rapid spin of the microquasar GRS 1915+105
• Power Density Spectra of Gamma-Ray Bursts in the Internal Shock Model
• Gamma-ray bursts as cool synchrotron sources
• Comparative performance of selected variability detection techniques in photometric time series
• The Environments of Short-Duration Gamma-Ray Bursts and Implications for their Progenitors
• Gamma-Ray Burst Prompt Emission Light Curves and Power Density Spectra in the ICMART Model
• Kinematics of and emission from helically orbiting blobs in a relativistic magnetized jet
• Tidal effects on small bodies by massive black holes
• On the tidal evolution of the orbits of low-mass satellites around black holes
• Further Study of the Gamma-Ray Bursts Duration Distribution
• Determination of mass of IGR J17091-3624 from "Spectro-Temporal" variations during onset-phase of the 2011 outburst
• Gamma-ray burst prompt correlations: selection and instrumental effects
• Gamma Ray Burst afterglow and prompt-afterglow relations: an overview
• Classification of Swift's gamma-ray bursts
• Self-Similar Temporal Behavior of Gamma-Ray Bursts
• Short vs. Long Gamma-Ray Bursts: A Comprehensive Study of Energetics and Prompt Gamma-Ray Correlations
• Fast optical variability of Naked-Eye Burst - manifestation of periodic activity of internal engine
• A comprehensive power spectral density analysis of astronomical time series I: the Fermi-LAT gamma-ray light curves of selected blazars
• An Unambiguous Separation of Gamma-Ray Bursts into Two Classes from Prompt Emission Alone
• Gamma Ray Burst Prompt correlations
• Pulsations in Short GRBs from Black Hole-Neutron Star Mergers
• The 1979, March 5 Gamma-Ray Transient: Was it a Classic Gamma-Ray Burst?
• Unveiling the Origin of GRB 090709A: Lack of Periodicity in a Reddened Cosmological Long-Duration Gamma-Ray Burst
• Astrophysically relevant bound trajectories around a Kerr black hole
• Individual power density spectra of Swift gamma-ray bursts
• Proton-synchrotron as the radiation mechanism of the prompt emission of GRBs?
• Analysis of gamma-ray burst duration distribution using mixtures of skewed distributions
• Detecting Variability in Massive Astronomical Time-Series Data I: application of an infinite Gaussian mixture model
• Analysis of the duration--hardness ratio plane of gamma-ray bursts using skewed distributions
• MAXI investigation into the longterm X-ray variability from the very-high-energy gamma-ray blazar Mrk 421
• On the relationship between the Hurst exponent, the ratio of the mean square successive difference to the variance, and the number of turning points
• Gaussian-mixture-model-based cluster analysis of gamma-ray bursts in the BATSE catalog
• Average power density spectrum of Swift long gamma-ray bursts in the observer and in the source rest frames
• A search for pulsations in short gamma-ray bursts to constrain their progenitors
• Collision-induced magnetic reconnection and a unified interpretation of polarization properties of GRBs and blazars
• Effects of adiabatic index on the sonic surface and time variability of low angular momentum accretion flows
• Models of high-frequency quasi-periodic oscillations and black hole spin estimates in Galactic microquasars
• Dead Zone Formation and Nonsteady Hyperaccretion in Collapsar Disks : A Possible Origin of Short-Term Variability in the Prompt Emission of Gamma-Ray Bursts
• Forced oscillations in magnetized accretion disks and QPOs
• Average power density spectrum of long GRBs detected with BeppoSAX/GRBM and with Fermi/GBM
• The extension of variability properties in gamma-ray bursts to blazars
• On the limit between short and long GRBs
• Multivariate analysis of BATSE gamma-ray burst properties using skewed distributions
• Search for high-frequency periodicities in time-tagged event data from gamma ray bursts and soft gamma repeaters
• XMM-Newton and Swift observations prove GRB 090709A to be a distant, standard, long GRB
• X-Ray Variability and the Inner Region in Active Galactic Nuclei
• Searching transients in large-scale surveys. A method based on the Abbe value
• Distinguishing short and long $Fermi$ gamma-ray bursts
• Correlation between peak energy and Fourier power density spectrum slope in gamma-ray bursts
• Similar radiation mechanism in gamma-ray bursts and blazars: evidence from two luminosity correlations
• Machine learning techniques to select Be star candidates. An application in the OGLE-IV Gaia south ecliptic pole field
• The Hurst Exponent of Fermi GRBs
• Power Density Spectra of Gamma-Ray Burst Light Curves: Implications on Theory and Observation
• Multidimensional analysis of Fermi GBM gamma-ray bursts
• A geometric origin for quasi-periodic oscillations in black hole X-ray binaries
• Optical variability modeling of newly identified blazar candidates behind Magellanic Clouds
• Identification of blazar candidates behind Small and Large Magellanic Clouds
• Analytical representation of Gaussian processes in the $\mathcal{A}-\mathcal{T}$ plane
• Broad band simulation of Gamma Ray Bursts (GRB) prompt emission in presence of an external magnetic field
• A New Frequency-Luminosity Relation for Long GRBs?
• Power spectra of outflow-driven turbulence
• The Power Spectra of Two Classes of Long-duration Gamma-ray Bursts

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