Corrections to Scaling Neutrino Mixing: Non-zero θ13,δCP\theta_{13}, \delta_{CP} and Baryon Asymmetry

We study a very specific type of neutrino mass and mixing structure based on the idea of Strong Scaling Ansatz (SSA) where the ratios of neutrino mass matrix elements belonging to two different columns are equal. There are three such possibilities, all of which are disfavored by the latest neutrino oscillation data. We focus on the specific scenario which predicts vanishing reactor mixing angle $\theta_{13}$ and inverted hierarchy with vanishing lightest neutrino mass. Motivated by several recent attempts to explain non-zero $\theta_{13}$ by incorporating corrections to a leading order neutrino mass or mixing matrix giving $\theta_{13}=0$, here we study the origin of non-zero $\theta_{13}$ as well as leptonic Dirac CP phase $\delta_{CP}$ by incorporating two different corrections to scaling neutrino mass and mixing: one where type II seesaw acts as a correction to scaling neutrino mass matrix and the other with charged lepton correction to scaling neutrino mixing. Although scaling neutrino mass matrix originating from type I seesaw predicts inverted hierarchy, the total neutrino mass matrix after type II seesaw correction can give rise to either normal or inverted hierarchy. However, charged lepton corrections do not disturb the inverted hierarchy prediction of scaling neutrino mass matrix. We further discriminate between neutrino hierarchies, different choices of lightest neutrino mass and Dirac CP phase by calculating baryon asymmetry and comparing with the observations made by the Planck experiment.Comment: 30 pages, 7 figures, to appear in Nucl. Phys.

Minimum Component Based Sinusoidal Oscillator Using Single OTRA

In this paper a new Operational transresistance amplifier (OTRA) based sinusoidal oscillator is proposed. It uses two resistors, two capacitors and a single OTRA. Sensitivity analysis and non-ideality analysis behavior of OTRA on oscillator operation is also investigated. The proposed oscillator circuit is designed using PSPICE simulation and 0.18µm AGILENT CMOS process parameters. PSPICE simulation results agree well with the theoretical analysis of the proposed circuit

A Self-tracked High-dielectric Wireless Power Transfer System for Neural Implants

This paper introduces a novel, efficient and long-range ( 0.5λ) wireless power transfer system for implantable neural devices. The operating principle of this system is based on the high-dielectric coupling, which occurs between an external lossless high-dielectric metamaterial (permittivity, ε r =100, loss tangent, tanδ = 0.0001) and lossy dielectric such as rat (ε r =54.1, conductivity, σ = 1.5 S/m). As magnetic field coupling occurs between two dielectric resonators, therefore, the rat (lossy dielectric) itself acts as a self-tracking energy source. The Ansoft HFSS simulation software was used to verify the concept. Initially, the rat was modelled as a phantom box and the resonant frequency was found to be 1.5 GHz. Then, for matching this intrinsic mode of the rat model, the external high-dielectric metamaterial designed accordingly to realize a highly efficient (η = 1×10 -3 ) and self-tracked wireless power system for neural implants

Tracking quintessence and k-essence in a general cosmological background

We derive conditions for stable tracker solutions for both quintessence and k-essence in a general cosmological background, H^2 \propto f(\rho). We find that tracker solutions are possible only when \eta = d ln f /d ln \rho is constant, aside from a few special cases, which are enumerated. Expressions for the quintessence or k-essence equation of state are derived as a function of \eta and the equation of state of the dominant background component.Comment: 6 pages, no figure

The radiation equation of state and loop quantum gravity corrections

The equation of state for radiation is derived in a canonical formulation of the electromagnetic field. This allows one to include correction terms expected from canonical quantum gravity and to infer implications to the universe evolution in radiation dominated epochs. Corrections implied by quantum geometry can be interpreted in physically appealing ways, relating to the conformal invariance of the classical equations.Comment: 11 pages, 1 figur

Beltrami state in black-hole accretion disk: A magnetofluid approach

Using the magnetofluid unification framework, we show that the accretion disk plasma (embedded in the background geometry of a blackhole) can relax to a class of states known as the Beltrami-Bernoulli (BB) equilibria. Modeling the disk plasma as a Hall MHD system, we find that the space-time curvature can significantly alter the magnetic/velocity decay rate as we move away from the compact object; the velocity profiles in BB states, for example, deviate substantially from the predicted corresponding geodesic velocity profiles. These departures imply a rich interplay of plasma dynamics and general relativity revealed by examining the corresponding Bernoulli condition representing "homogeneity" of total energy. The relaxed states have their origin in the constraints provided by the two helicity invariants of Hall MHD. These helicities conspire to introduce a new oscillatory length scale into the system that is strongly influenced by relativistic and thermal effects.Comment: 8 figure

Canonical Gravity with Fermions

Canonical gravity in real Ashtekar-Barbero variables is generalized to allow for fermionic matter. The resulting torsion changes several expressions in Holst's original vacuum analysis, which are summarized here. This in turn requires adaptations to the known loop quantization of gravity coupled to fermions, which is discussed on the basis of the classical analysis. As a result, parity invariance is not manifestly realized in loop quantum gravity.Comment: 17 pages; v2: new discussion of parity, more general non-minimal coupling, less details of constraint analysi

New Role of Null Lagrangians in Derivation of Equations of Motion for Dynamical Systems

The space of Null Lagrangians is the least investigated territory in dynamics since they are identically sent to zero by their Euler-Lagrange operator and thereby having no effects on equations of motion. A humble effort to discover the relevance of these Null Lagrangians in dynamics is made by introducing a generalized procedure (with respect to the recent procedure introduced by the authors of this paper) that takes advantage of the null-ness of these Lagrangians to construct non-standard Lagrangians that represent a range of interesting dynamical systems. By using the generalized procedure, derivation of equations of motion for a harmonic oscillator as well as for the Bateman and Duffing oscillators is presented. The obtained results demonstrate a new role played by the null Lagrangians and their corresponding non-standard Lagrangians in describing linear and nonlinear, and dissipative and non-dissipative dynamical systems

The Differential Voltage Current Controlled Conveyor Tranconductance Amplifier: A Novel Active Block Prevailing Op-Amp Limitations

The differential difference current controlled current conveyor transconductance amplifier (DVCCCTA) is a novel active building block which can substitute the widely used operational amplifier in analog circuit design. The operation of differential difference current controlled current conveyor transconductance amplifier is different from the operation of operational amplifier. The DVCCCTA can be used to design various circuits like integrator, differentiator, adder, substractor etc. The advantages of DVCCCTA are it has high slew rate, wide bandwidth, and also current processing capabilities at input terminals. Since DVCCCTA is not slew limited in the same fashion of OPAMP, it can provide amplification of high frequency signals with a constant bandwidth virtually independent of gain