2,801 research outputs found
An Application of Lorentz Invariance Violation in Black Hole Thermodynamics
In this paper, we have applied the Lorentz-invariance-violation (LIV) class
of dispersion relations (DR) with the dimensionless parameter n = 2 and the
"sign of LIV" {\eta}_+ = 1, to phenomenologically study the effect of quantum
gravity in the strong gravitational field. Specifically, we have studied the
effect of the LIV-DR induced quantum gravity on the Schwarzschild black hole
thermodynamics. The result shows that the effect of the LIV-DR induced quantum
gravity speeds up the black hole evaporation, and its corresponding black hole
entropy undergoes a leading logarithmic correction to the "reduced
Bekenstein-Hawking entropy", and the ill defined situations (i.e. the
singularity problem and the critical problem) are naturally bypassed when the
LIV-DR effect is present. Also, to put our results in a proper perspective, we
have compared with the earlier findings by another quantum gravity candidate,
i.e. the generalized uncertainty principle (GUP). Finally, we conclude from the
inert remnants at the final stage of the black hole evaporation that, the GUP
as a candidate for describing quantum gravity can always do as well as the
LIV-DR by adjusting the model-dependent parameters, but in the same
model-dependent parameters the LIV-DR acts as a more suitable candidate.Comment: 18 pages, 7 figure
A Bayesian Approach to Estimate the Size and Structure of the Broad-line Region in Active Galactic Nuclei Using Reverberation Mapping Data
This is the first paper in a series devoted to systematic study of the size
and structure of the broad-line region (BLR) in active galactic nuclei (AGNs)
using reverberation mapping (RM) data. We employ a recently developed Bayesian
approach that statistically describes the variabibility as a damped random walk
process and delineates the BLR structure using a flexible disk geometry that
can account for a variety of shapes, including disks, rings, shells, and
spheres. We allow for the possibility that the line emission may respond
non-linearly to the continuum, and we detrend the light curves when there is
clear evidence for secular variation. We use a Markov Chain Monte Carlo
implementation based on Bayesian statistics to recover the parameters and
uncertainties for the BLR model. The corresponding transfer function is
obtained self-consistently. We tentatively constrain the virial factor used to
estimate black hole masses; more accurate determinations will have to await
velocity-resolved RM data. Application of our method to RM data with Hbeta
monitoring for about 40 objects shows that the assumed BLR geometry can
reproduce quite well the observed emission-line fluxes from the continuum light
curves. We find that the Hbeta BLR sizes obtained from our method are on
average ~20% larger than those derived from the traditional cross-correlation
method. Nevertheless, we still find a tight BLR size-luminosity relation with a
slope of alpha=0.55\pm0.03 and an intrinsic scatter of ~0.18 dex. In
particular, we demonstrate that our approach yields appropriate BLR sizes for
some objects (such as Mrk 142 and PG 2130+099) where traditional methods
previously encountered difficulties.Comment: 17 pages, 10 figures, 2 tables; minor reversion to match the
published versio
A New Approach to Constrain Black Hole Spins in Active Galaxies Using Optical Reverberation Mapping
A tight relation between the size of the broad-line region (BLR) and optical
luminosity has been established in about 50 active galactic nuclei studied
through reverberation mapping of the broad Hbeta emission line. The R_blr-L
relation arises from simple photoionization considerations. Using a general
relativistic model of an optically thick, geometrically thin accretion disk, we
show that the ionizing luminosity jointly depends on black hole mass, accretion
rate, and spin. The non-monotonic relation between the ionizing and optical
luminosity gives rise to a complicated relation between the BLR size and the
optical luminosity. We show that the reverberation lag of Hbeta to the varying
continuum depends very sensitively to black hole spin. For retrograde spins,
the disk is so cold that there is a deficit of ionizing photons in the BLR,
resulting in shrinkage of the hydrogen ionization front with increasing optical
luminosity, and hence shortened Hbeta lags. This effect is specially striking
for luminous quasars undergoing retrograde accretion, manifesting in strong
deviations from the canonical R_blr-L relation. This could lead to a method to
estimate black hole spins of quasars and to study their cosmic evolution. At
the same time, the small scatter of the observed R_blr-L relation for the
current sample of reverberation-mapped active galaxies implies that the
majority of these sources have rapidly spinning black holes.Comment: 6 pages, 5 figures, to appear in ApJ
Graphene quantum dot modified g-C3N4 for enhanced photocatalytic oxidation of ammonia performance
In this study, graphene quantum dot (GQD) modified g-C3N4 (GQDs/CN) composite photocatalysts were prepared. The photocatalytic ammonia degradation properties of the GQDs/CN composites were much higher than that of pure g-C3N4. When the amount of GQDs added reached 0.5 wt% the GQDs/CN composite showed the best performance for photocatalytic total ammonia nitrogen (TAN) removing, and a 90% TAN removing rate was achieved in 7 hours under visible light illumination (200 mW cm−2), which is approximately 3 times higher than that of pure g-C3N4. The increased photocatalytic property was contributed by the photon adsorption ability and electron transfer capacity, which were improved after GQD modification. The main photocatalytic end-product of TAN was NO3− which is a type of environmentally green ion. Further results indicated that the oxygen concentration and pH value of the reaction solution were very important for the photocatalytic ammonia degradation process. A better performance could be achieved under a higher oxygen concentration and pH value
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