A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta

Price's Law states that linear perturbations of a Schwarzschild black hole fall off as t−2?−3 for t→∞ provided the initial data decay sufficiently fast at spatial infinity. Moreover, if the perturbations are initially static (i.e., their time derivative is zero), then the decay is predicted to be t−2?−4. We give a proof of t−2?−2 decay for general data in the form of weighted L¹ to L^∞ bounds for solutions of the Regge–Wheeler equation. For initially static perturbations we obtain t−2?−3. The proof is based on an integral representation of the solution which follows from self-adjoint spectral theory. We apply two different perturbative arguments in order to construct the corresponding spectral measure and the decay bounds are obtained by appropriate oscillatory integral estimates.     

Surface-functionalized Carbon Black as Catalyst for the Direct Production of Hydrogen Peroxide by the Oxidation of Hydroxylamine

Carbon black (CB) without micropores was functionalized by mixed acid and used to explore the surface chemistry effect on the production of hydrogen peroxide (H₂O₂). The CB materials were characterized by N₂ adsorption‐desorption, XRD, SEM, FTIR, and TPD. The results of different characterization methods indicated that both the textural features and the surface chemical properties of CB were significantly modified by the acidic treatment. The catalytic performance of the modified CBs for hydroxylamine (NH₂OH) oxidation increased with increasing the surface oxygen‐containing species. The yield of H₂O₂ approached 30% with the corresponding concentration of 73.9 mmol·L^?1 (w=0.25%) over the most promising CB catalyst, which was much superior to the results obtained on supported noble metals. Correlations between catalytic activity and concentration of different surface functional groups on the CB samples confirmed that the quinonoid species might be the active species.     

黑板条干检测仪器化的一种方法

本文讨论了一种把表示纱线不匀信号转变为黑板模型的方法及该模型的建立。按照黑板法检测的标准,拟出了13个能体现模型特征的特征参数;并讨论了对该模型进行识别和评级的方法。提出了这种方法能用在所有检测纱线不匀的仪器上,经作者在研制的仪器上实验,表明是可行的。     

炭黑对乙烯基单体自由基聚合反应的影响

用悬浮聚合法制备静电复印用增色剂时，着色剂炭黑在反应体系中具有明显的阻聚作用。研究了炭黑对反应活性不同的乙烯基单体和不同引发剂体系聚合反应的影响。通过在炭黑表面进行接枝，以降低炭黑对聚合反应的干扰。     

THE SHEAR-THINNING PHENOMENON OF BAGASSE KRAFT BLACK LIQUOR FLUID

INTRODUCTIONKraft black liquor composition is very complicated. Generally, it is a complex and multiphase fluid, which consists of organic and inorganic components. The total solids content in black liquors has a great effect on its fluidity and deformation. To the wood black liquor, there have already been detailed researches on their flow properties and many theoretic or practical results have been concluded in the literatures [1-8]. But to non-wood black liquor, the previous researches…     

一般球对称带电动态黑洞的量子熵

在Tortoise坐标系中,利用brick-wall模型研究了标量场对一般球对称带电动态黑洞熵的量子修正.当黑洞事件视界不随超前时间变化时,结果可回到已知的静态情况.     

Hawking radiation and Dirac quasinormal modes of 3D EMDλ black holes

Some properties of the Hawking radiation emitted by the family of black holes of the Einstein–Maxwell–Dilaton with cosmologicalconstant theory in three dimensions found by Chan and Mann are studiedusing the complex paths method and the Damour–Ruffini method. Theexact values of the quasinormal frequencies of the massless Diracfield propagating on a particular black hole of this family arecalculated. Taking as a basis the results obtained for the values ofthe quasinormal frequencies the instability of some modes isdiscussed. The extension of these results to the black holes of theEinstein–Maxwell–Dilaton theory in four dimensions is studied in theappendix.     

榆树市黑土流失成因及治理对策

榆树市是全国农业大县,是国家重要的粮食生产基地,同时也是水土流失十分严重的地区。本文重点研究了榆树市水土流失的成因、规律及危害。并在此基础上,结合榆树市的基本地理特点与社会经济发展实际情况,提出了水土流失综合防治的具体对策。     

Analysis of correlation between percolation concentration and elongation at break in filled electroconductive epoxy-based adhesives

Electrical conductivity and elongation at break of epoxy filled with electroconductive carbon black, graphite or with silver-coated basalt particles or fibres were investigated in this paper. Percolation concentrations were determined to be 14 vol% for epoxy/carbon black composites, 22 vol% for epoxy/graphite composites, 28-29 vol% for both epoxy/silver-coated basalt particles and fibres. The steepest increase in electrical conductivity and the most pronounced decrease in elongation at break occurs at similar filler concentration range for all investigated systems. A good correlation between phenomenological model, introduced in [J. Mater. Sci. Lett. 18 (1998) 1457] and experimental data for all investigated systems was observed.     

Universal canonical entropy for gravitating systems

The thermodynamics of general relativistic systems with boundary, obeying a Hamiltonian constraint in the bulk, is determined solely by the boundary quantum dynamics, and hence by the area spectrum. Assuming, for large area of the boundary, (a) an area spectrum as determined by non-perturbative canonical quantum general relativity (NCQGR), (b) an energy spectrum that bears a power law relation to the area spectrum, (c) an area law for the leading order microcanonical entropy, leading thermal fluctuation corrections to the canonical entropy are shown to be logarithmic in area with a universal coefficient. Since the microcanonical entropy also has universal logarithmic corrections to the area law (from quantum space-time fluctuations, as found earlier) the canonical entropy then has a universal form including logarithmic corrections to the area law. This form is shown to be independent of the index appearing in assumption (b). The index, however, is crucial in ascertaining the domain of validity of our approach based on thermal equilibrium.