Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole

We discuss a scheme based on Ehrenfest like equations to exhibit and classify transitions between two phases (with "smaller" and "larger" masses) of Kerr AdS black holes. We show that for fixed angular velocity this phase transition is of second order as both Ehrenfest's equations are satisfied. Finally we make a close connection of the results found from this analysis with those obtained from the thermodynamic state space geometry approach.Comment: LaTex, v3: 12 pages, 3 figures; minor modifications to match the journal version; to appear in Phys. Rev.

Killing Symmetries and Smarr Formula for Black Holes in Arbitrary Dimensions

We calculate the effective Komar conserved quantities for the $N+1$ dimensional charged Myers-Perry spacetime. At the event horizon we derive a new identity $K_{\chi^{\mu}}=2ST$ where the left hand side is the Komar conserved quantity corresponding to the null Killing vector $\chi^{\mu}$ while in the right hand side $S,~T$ are the black hole entropy and Hawking temperature. From this identity we also derive the generalized Smarr formula connecting the macroscopic parameters $M,~J,~Q$ of the black hole with its surface gravity and horizon area. The consistency of this new formula is established by an independent algebraic approach.Comment: v3, minor changes over v2, LaTex, 16 pages, no figures, to appear in Phys. Rev.

Study on Noncommutative Representations of Galilean Generators

The representations of Galilean generators are constructed on a space where both position and momentum coordinates are noncommutating operators. A dynamical model invariant under noncommutative phase space transformations is constructed. The Dirac brackets of this model reproduce the original noncommutative algebra. Also, the generators in terms of noncommutative phase space variables are abstracted from this model in a consistent manner. Finally, the role of Jacobi identities is emphasised to produce the noncommuting structure that occurs when an electron is subjected to a constant magnetic field and Berry curvature.Comment: Title changed, new references added, published in Int. J. Mod. Phys.

Vertical liquid controlled adiabatic waveguide coupler

A broadband vertical liquid controlled optical waveguide coupler (LCC) is demonstrated. The fabricated vertical LCC with silicon nitride (SiN) waveguides can switch light between 2 stacked photonic circuit layers with zero energy consumption in a steady switch state. In combination with low-loss interlayer waveguide crossovers they enable large scale non-volatile switch circuits with low loss. The fabricated vertical LCC has a loss less than 2.0 dB in bar state and less than 2.6 dB in cross state over the telecommunication wavelength range 1260 nm to 1630 nm. Interlayer waveguide crossovers with the same interlayer oxide thickness as the LCC have a loss less than 0.06 dB over the same wavelength range. The crosstalk of the LCC is less than 21 dB over the wavelength range 1500 nm to 1630 nm for both bar and cross state. (c) 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreemen

Color and Shape Recognition

The object "car" and "cat" can be easily distinguished by humans, but how these labels are assigned? Grouping these images is easy for a person into different categories, but its very tedious for a computer. Hence, an object recognition system finds objects in the real world from an image. Object recognition algorithms rely on matching, learning or pattern recognition algorithms using appearance-based or feature-based techniques. In this thesis, the use of color and shape attributes as an explicit color and shape representation respectively for object detection is proposed. Color attributes are dense, computationally effective, and when joined with old-fashioned shape features provide pleasing results for object detection. The procedure of shape detection is actually a natural extension of the job of edge detection at the pixel level to the difficulty of global contour detection. A tool for a systematic analysis of edge based shape detection is provided by this filtering scheme. This enables us to find distinctions between objects based on color and shape

Growth and Hemato-Immunological Response to Dietary i-Carrageenan in Labeo rohita (Hamilton, 1822) Juveniles

The study was performed over a period of 60 days to evaluate the effect of dietary carrageenan on growth, hematology, biochemistry, and innate immunity in rohu Labeo rohita. A basal diet supplemented with iota (i)Carrageenan at 5, 10 and 20g/kg was fed to three different groups of fish for 60 days. The fish were examined 15, 30, 45, and 60 days after commencement of the study. Parameters for growth (absolute growth, specific growth rate, and percentage weight gain), hematology (total erythrocyte count, total leucocyte count, thrombocyte count and hemoglobin value), biochemistry (total serum protein, albumin, globulin and albuminglobulin ratio), and innate immunity (nitroblue tetrazolium NBT, and myeloperoxidase MPO, activity) were monitored to assess the effect of the iCarrageenan based diet in L. rohita. All the parameters examined (growth, hematology, biochemistry, and innate immunity) increased significantly (P<0.05) in carrageenan-fed groups compared to the control group. However, the highest values for those parameters were found on the 60th day in the group which was fed a 10 g/kg i-Carrageenan diet. The study suggests that a 10 g/kg diet of i-carrageenan enhances immunity and the overall health status in L. rohita