57,650 research outputs found
Gamma-Ray Burst Afterglows: Effects of Radiative Corrections and Nonuniformity of the Surrounding Medium
The afterglow of a gamma-ray burst (GRB) is commonly thought to be due to
continuous deceleration of a relativistically expanding fireball in the
surrounding medium. Assuming that the expansion of the fireball is adiabatic
and that the density of the medium is a power-law function of shock radius,
viz., , we analytically study the effects of the
first-order radiative correction and the nonuniformity of the medium on a GRB
afterglow. We first derive a new relation among the observed time, the shock
radius and the fireball's Lorentz factor: , and
also derive a new relation among the comoving time, the shock radius and the
fireball's Lorentz factor: . We next study the
evolution of the fireball by using the analytic solution of Blandford and McKee
(1976). The radiation losses may not significantly influence this evolution. We
further derive new scaling laws both between the X-ray flux and observed time
and between the optical flux and observed time. We use these scaling laws to
discuss the afterglows of GRB 970228 and GRB 970616, and find that if the
spectral index of the electron distribution is , implied from the
spectra of GRBs, the X-ray afterglow of GRB970616 is well fitted by assuming
.Comment: 17 pages, no figures, Latex file, MNRAS in pres
Temporal variability in early afterglows of short gamma-ray bursts
The shock model has successfully explained the observed behaviors of
afterglows from long gamma-ray bursts (GRBs). Here we use it to investigate the
so-called early afterglows from short GRBs, which arises from blast waves that
are not decelerated considerably by their surrounding medium. We consider a
nearby medium loaded with pairs (Beloborodov 2002). The temporal
behaviors show first a soft-to-hard spectral evolution, from the optical to
hard X-ray, and then a usual hard-to-soft evolution after the blast waves begin
to decelerate. The light curves show variability, and consist of two peaks. The
first peak, due to the pair effect, can be observed in the X-ray, though too
faint and too short in the optical. The second peak will be easily detected by
{\it Swift}. We show that detections of the double-peak structure in the light
curves of early afterglows are very helpful to determine all the shock
parameters of short GRBs, including both the parameters of the relativistic
source and the surroundings. Besides, from the requirement that the
forward-shock emission in short GRBs should be below the BATSE detection
threshold, we give a strong constraint on the shock model parameters. In
particular, the initial Lorentz factor of the source is limited to be no more
than , and the ambient medium density is inferred to be low, n\la
10^{-1} cm.Comment: 5 pages, 1 figure, minor changes to match the publish in MNRA
A Generic Dynamical Model of Gamma-ray Burst Remnants
The conventional generic model is deemed to explain the dynamics of
-ray burst remnants very well, no matter whether they are adiabatic or
highly radiative. However, we find that for adiabatic expansion, the model
could not reproduce the Sedov solution in the non-relativistic phase, thus the
model needs to be revised. In the present paper, a new differential equation is
derived. The generic model based on this equation has been shown to be correct
for both radiative and adiabatic fireballs, and in both ultra-relativistic and
non-relativistic phase.Comment: 10 pages, LaTeX, 4 postscript figures, accepted for publication in
MNRA
Characterisation of real GPRS traffic with analytical tools
With GPRS and UMTS networks lunched, wireless multimedia services are commercially becoming the most attractive applications next to voice. Because of the nature of bursty, packet-switched schemes and multiple data rates, the traditional Erlang approach and Poisson models for characterising voice-centric services traffic are not suitable for studying wireless multimedia services traffic. Therefore, research on the characterisation of wireless multimedia services traffic is very challenging. The typical reference for the study of wireless multimedia services traffic is wired Internet services traffic. However, because of the differences in network protocol, bandwidth, and QoS requirements between wired and wireless services, their traffic characterisations may not be similar. Wired network Internet traffic shows self-similarity, long-range dependence and its file sizes exhibit heavy-tailedness. This paper reports the use of existing tools to analyse real GPRS traffic data to establish whether wireless multimedia services traffic have similar properties as wired Internet services traffic
Superconductivity mediated by the antiferromagnetic spin-wave in chalcogenide iron-base superconductors
The ground state of KFeSe and other iron-based
selenide superconductors are doped antiferromagnetic semiconductors. There are
well defined iron local moments whose energies are separated from those of
conduction electrons by a large band gap in these materials. We propose that
the low energy physics of this system is governed by a model Hamiltonian of
interacting electrons with on-site ferromagnetic exchange interactions and
inter-site superexchange interactions. We have derived the effective pairing
potential of electrons under the linear spin-wave approximation and shown that
the superconductivity can be driven by mediating coherent spin wave excitations
in these materials. Our work provides a natural account for the coexistence of
superconducting and antiferromagnetic long range orders observed by neutron
scattering and other experiments.Comment: 4 pages, 3 figure
A probabilistic model checking approach to analysing reliability, availability, and maintainability of a single satellite system
Satellites now form a core component for space
based systems such as GPS and GLONAS which provide
location and timing information for a variety of uses. Such
satellites are designed to operate in-orbit and have lifetimes of
10 years or more. Reliability, availability and maintainability
(RAM) analysis of these systems has been indispensable in
the design phase of satellites in order to achieve minimum
failures or to increase mean time between failures (MTBF)
and thus to plan maintainability strategies, optimise reliability
and maximise availability. In this paper, we present formal
modelling of a single satellite and logical specification of
its reliability, availability and maintainability properties. The
probabilistic model checker PRISM has been used to perform
automated quantitative analyses of these properties
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