3,032 research outputs found

    Thermodynamic Interpretation of Field Equations at Horizon of BTZ Black Hole

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    A spacetime horizon comprising with a black hole singularity acts like a boundary of a thermal system associated with the notions of temperature and entropy. In case of static metric of BTZ black hole, the field equations near horizon boundary can be expressed as a thermal identity dE=TdS+PrdAdE = TdS + P_{r}dA, where E=ME = M is the mass of BTZ black hole, dAdA is the change in the area of the black hole horizon when the horizon is displaced infinitesimally small, PrP_{r} is the radial pressure provided by the source of Einstein equations, S=4πaS= 4\pi a is the entropy and T=κ/2πT = \kappa / 2\pi is the Hawking temperature associated with the horizon. This approach is studied further to generalize it for non-static BTZ black hole and show that it is also possible to interpret the field equation near horizon as a thermodynamic identity dE=TdS+PrdA+Ω+dJdE = TdS + P_{r}dA + \Omega_{+} dJ, where Ω+\Omega_{+} is the angular velocity and JJ is the angular momentum of BTZ black hole. These results indicate that the field equations for BTZ black hole possess intrinsic thermodynamic properties near horizon.Comment: 8 page

    An Integrated Software-based Solution for Modular and Self-independent Networked Robot

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    An integrated software-based solution for a modular and self-independent networked robot is introduced. The wirelessly operatable robot has been developed mainly for autonomous monitoring works with full control over web. The integrated software solution covers three components : a) the digital signal processing unit for data retrieval and monitoring system; b) the externally executable codes for control system; and c) the web programming for interfacing the end-users with the robot. It is argued that this integrated software-based approach is crucial to realize a flexible, modular and low development cost mobile monitoring apparatus.Comment: 9 pages, Proceeding of the 10th International Conference on Control, Automation, Robotics and Visio

    Exhaustive Search-based Model for Hybrid Sensor Network

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    A new model for a cluster of hybrid sensors network with multi sub-clusters is proposed. The model is in particular relevant to the early warning system in a large scale monitoring system in, for example, a nuclear power plant. It mainly addresses to a safety critical system which requires real-time processes with high accuracy. The mathematical model is based on the extended conventional search algorithm with certain interactions among the nearest neighborhood of sensors. It is argued that the model could realize a highly accurate decision support system with less number of parameters. A case of one dimensional interaction function is discussed, and a simple algorithm for the model is also given.Comment: 6 pages, Proceeding of the International Conference on Intelligent & Advanced Systems 2012 pp. 557-56
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