Coulomb screening in graphene with topological defects

We analyze the screening of an external Coulomb charge in gapless graphene cone, which is taken as a prototype of a topological defect. In the subcritical regime, the induced charge is calculated using both the Green's function and the Friedel sum rule. The dependence of the polarization charge on the Coulomb strength obtained from the Green's function clearly shows the effect of the conical defect and indicates that the critical charge itself depends on the sample topology. Similar analysis using the Friedel sum rule indicates that the two results agree for low values of the Coulomb charge but differ for the higher strengths, especially in the presence of the conical defect. For a given subcritical charge, the transport cross-section has a higher value in the presence of the conical defect. In the supercritical regime we show that the coefficient of the power law tail of polarization charge density can be expressed as a summation of functions which vary log periodically with the distance from the Coulomb impurity. The period of variation depends on the conical defect. In the presence of the conical defect, the Fano resonances begin to appear in the transport cross-section for a lower value of the Coulomb charge. For both sub and supercritical regime we derive the dependence of LDOS on the conical defect. The effects of generalized boundary condition on the physical observables are also discussed.Comment: 14 pages, 11 figure

Secure Repairable Fountain Codes

In this letter, we provide the construction of repairable fountain codes (RFCs) for distributed storage systems that are information-theoretically secure against an eavesdropper that has access to the data stored in a subset of the storage nodes and the data downloaded to repair an additional subset of storage nodes. The security is achieved by adding random symbols to the message, which is then encoded by the concatenation of a Gabidulin code and an RFC. We compare the achievable code rates of the proposed codes with those of secure minimum storage regenerating codes and secure locally repairable codes.Comment: To appear in IEEE Communications Letter

Universal near-horizon conformal structure and black hole entropy

It is shown that a massless scalar probe reveals a universal near-horizon conformal structure for a wide class of black holes, including the BTZ. The central charge of the corresponding Virasoro algebra contains information about the black hole. With a suitable quantization condition on the central charge, the CFT associated with the black hole in our approach is consistent with the recent observation of Witten, where the dual theory for the BTZ in the AdS/CFT framework has been identified with the construction of Frenkel, Lepowsky and Meurman. This CFT admits the Fischer-Griess monster group as its symmetry. The logarithm of the dimension of a specific representation of the monster group has been identified by Witten as the entropy of the BTZ black hole. Our algebraic approach shows that a wide class of black holes share the same near-horizon conformal structure as that for the BTZ. With a suitable quantization condition, the CFT's for all these black holes in our formalism can be identified with the FLM model, although not through the AdS/CFT correspondence. The corresponding entropy for the BTZ provides a lower bound for the entropy of this entire class of black holes.Comment: References updated, text rearrange

Coal characterisation and design for fossil fuel fired boiler in thermal power plants.

Coal is a highly heterogeneous in nature and requires several analytical techniques for its characterization so as to accurately predict its behavior during conversion processes such as combustion, gasification or liquefaction. The goal of utilizing the available large quantities of indigenous coal alone with reducing emissions is increasing the efficiency of power plants by utilizing steam conditions. The performance correlations based on bulk property analysis of coal adequately impact coal quality on conversion efficiencies and plant performance. Thermo mechanical analysis , an advanced bulk analytical technique provides detailed thermal behavior of ash relevant to power plant operations. The decrease in easily worked deposits , together with the decline in the availability of the better quality coals has resulted in a need for the development of blending techniques. Blending is now extensively practiced in the preparation of coals which involve blending of several different classes and / or grades of coals to produce blends which on carbonization will yield coke. Coal petrology is the study of organic materials which make up coal .The object of study is to identify in terms of reactive capabilities , each of the organic materials making up coal and an attempt to relate the reactive capabilities with the industrial applications of coal. Various tests are being designed to investigate the feasibility of Indian Coals in pulverized coal boilers