32,047 research outputs found
On indecomposable modules over the Virasoro algebra
It is proved that an indecomposable Harish-Chandra module over the Virasoro
algebra must be (i) a uniformly bounded module, or (ii) a module in Category
, or (iii) a module in Category , or (iv) a module which
contains the trivial module as one of its composition factors.Comment: 5 pages, Latex, to appear in Science in China
Numerical Study of the Correspondence Between the Dissipative and Fixed Energy Abelian Sandpile Models
We consider the Abelian sandpile model (ASM) on the large square lattice with
a single dissipative site (sink). Particles are added by one per unit time at
random sites and the resulting density of particles is calculated as a function
of time. We observe different scenarios of evolution depending on the value of
initial uniform density (height) . During the first stage of the
evolution, the density of particles increases linearly. Reaching a critical
density , the system changes its behavior sharply and relaxes
exponentially to the stationary state of the ASM with . We found
numerically that and . Our
observations suggest that the equality holds for more general
initial conditions with non-positive heights. In parallel with the ASM, we
consider the conservative fixed-energy Abelian sandpile model (FES). The
extensive Monte-Carlo simulations for have confirmed that in the
limit of large lattices coincides with the threshold density
of FES. Therefore, can be identified with
if the FES starts its evolution with non-positive uniform height .Comment: 6 pages, 8 figure
Classification of modules of the intermediate series over Ramond N=2 superconformal algebras
In this paper, we first discuss the structure of the Ramond N=2
superconformal algebras. Then we also classify the modules of the intermediate
series over Ramond N=2 superconformal algebra.Comment: 17 Pages. LaTeX. We simplify some computations in Section 2, and
correct some misprints in Section
Quasinormal modes and late-time tails in the background of Schwarzschild black hole pierced by a cosmic string: scalar, electromagnetic and gravitational perturbations
We have studied the quasinormal modes and the late-time tail behaviors of
scalar, electromagnetic and gravitational perturbations in the Schwarzschild
black hole pierced by a cosmic string. Although the metric is locally identical
to that of the Schwarzschild black hole so that the presence of the string will
not imprint in the motion of test particles, we found that quasinormal modes
and the late-time tails can reflect physical signatures of the cosmic string.
Compared with the scalar and electromagnetic fields, the gravitational
perturbation decays slower, which could be more interesting to disclose the
string effect in this background.Comment: 17 pages; 7 figure
Theoretical Study of Corundum as an Ideal Gate Dielectric Material for Graphene Transistors
Using physical insights and advanced first-principles calculations, we
suggest that corundum is an ideal gate dielectric material for graphene
transistors. Clean interface exists between graphene and Al-terminated (or
hydroxylated) Al2O3 and the valence band offsets for these systems are large
enough to create injection barrier. Remarkably, a band gap of {\guillemotright}
180 meV can be induced in graphene layer adsorbed on Al-terminated surface,
which could realize large ON/OFF ratio and high carrier mobility in graphene
transistors without additional band gap engineering and significant reduction
of transport properties. Moreover, the band gaps of graphene/Al2O3 system could
be tuned by an external electric field for practical applications
A comparative study of frequency of postnatal depression among subjects with normal and caesarean deliveries
Background: Prevalence of postnatal depression (PND) is 12-15%. Recent studies are equivocal about the earlier inference that PND is higher among caesarian than normal delivery. Objective: The aim of this study is to investigate the frequency of PND among the Indian women and the association between the mode of delivery and PND. Material and method: Fifty subjects each; having delivered normally and by caesarian section was chosen. All the women were within 3 months post delivery and could understand Kannada language. Those who consented were asked to complete the Edinburgh Postnatal Depression Scale (EPDS). Those found to have scores suggestive of depression on EPDS were assessed for depression according to ICD-10. The data was analyzed using paired t test and chi square test. Result and conclusion: Among Post caesarean subjects, depression was diagnosed in 20% (n=10) as compared to 16% (n=8) in subjects that delivered normally. However there was no significant difference in the frequency of depression among the two groups. Due to the small sample size the results cannot be generalized
Assessing the influence of the Merzbacher Lake outburst floods on discharge using the hydrological model SWIM in the Aksu headwaters, Kyrgyzstan/NW China
Glacial lake outburst floods (GLOF) often have a significant impact on downstream users. Including their effects in hydrological models, identifying past occurrences and assessing their potential impacts are challenges for hydrologists working in mountainous catchments. The regularly outbursting Merzbacher Lake is located in the headwaters of the Aksu River, the most important source of water discharge to the Tarim River, northwest China. Modelling its water resources and the evaluation of potential climate change impacts on river discharge are indispensable for projecting future water availability for the intensively cultivated river oases downstream of the Merzbacher Lake and along the Tarim River. The semi-distributed hydrological model SWIM was calibrated to the outlet station Xiehela on the Kumarik River, by discharge the largest tributary to the Aksu River. The glacial lake outburst floods add to the difficulties of modelling this high-mountain, heavily glaciated catchment with poor data coverage and quality. The aims of the study are to investigate the glacier lake outburst floods using a modelling tool. Results include a two-step model calibration of the Kumarik catchment, an approach for the identification of the outburst floods using the measured gauge data and the modelling results and estimations of the outburst flood volumes. Results show that a catchment model can inform GLOF investigations by providing ‘normal’ (i.e. without the outburst floods) catchment discharge. The comparison of the simulated and observed discharge proves the occurrence of GLOFs and highlights the influences of the GLOFs on the downstream water balance. © 2013 The Authors. Hydrological Processes Published by John Wiley & Sons Ltd
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