Vol. 6 & Issue 2 ; Section C : Physical Sciences

Date : Feb.2016 to Apr.2016


A Theoretical Study of the Faraday Effect in aSemiconductor Cylindrical Quantum Wire and Evaluation of Faraday Rotation Angle (FR) as a Function of Photon Energy for a Given Radius of Wire

Mrs. Raina Nasreen, Shyam Nandan Prasad  and L.K. Mishra

  • Abstract

    Using the theoretical formulation of G G Jarailova and T G Ismailov (J Korean Phys. Soc.) and Jiang-Lan Liu and K Chang (J Appl Phys Lett), we have theoretically studied the Faraday effect in a semiconductor cylindrical Quantum wire. We have evaluated Faraday rotation (FR) angle θF (abs. U) as a function of photon energy (eV) for various radius of wire R and different magnetic field B. Our theoretically evaluated results indicate that Faraday angle increases with decreasing radius of the wire and with increasing magnetic field. Our theoretically evaluated results are in good agreement with the other theoretical workers. Such types of studies will be quite beneficial in the field of nanoelectronics, magneto-optical recording and information display 

Variable Luminosity of Secondary Gamma Rays During the close Approach of The Mars to the Earth

Nidhi Jain, Shubhra Tiwari, Sushil Kumar Gandhi, S. N. A. Jaaffrey

  • Abstract

    In order to investigate the variable luminosity for the cosmic shower of the Secondary Gamma Rays (SGRs), we employed scintillation detector on ground. The temporal variability is associated with the interaction of the extra-terrestrial flux of the Galactic Cosmic Radiation (GCR) and Solar Energetic Particles (SEPs), with the rather denser gaseous components in the lower atmosphere of the Earth. We measured the additional perturbation in the SGRs due to Mars during its closest approach to Earth in the month of August 2003, which happened after the lapse of 58380 years. Although small in magnitude, but we were able to detect significant variability for SGRs luminosity in the range of 1.5-4.5 keV/sec for the prominent peaks which were present almost in every observed spectrum taken over the entire one-month observations. Exponential model is fitted to examine the SGRs variability caused by the recession of Mars from its close approach. The obtained value of t=3.5795  0.2968 is found close to the theoretical value of 3.8 within the limit of experimental error.

Spectral Study of EXO2030+375 Using RXTE Data

Sushil Kumar Gandhi, Shubhra Tiwari, Nidhi Jain, & S.N.A. Jaaffrey

  • Abstract

    We report the spectral properties of the X-ray pulsar EXO2030+375. The observations were made using Rossi X-ray timing explorer space satellite. The spectral analysis is carried out for the flux of x-ray energy range 3-30 keV. The X-ray continuum spetra of proportional counter array could be represented by a two component model, a power law with an exponential cutoff at higher energies and a blackbody. An iron line at about 6.4-6.6 keV was also included.High mass X-ray binaries (HMXBs) were among the very first bright X-ray sources detected and optically identified in the 1970s, comprising of a orbiting compact object around a massive OB class star. The compact object should be either a neutron star (NS) or black hole and is a strong X-ray emitter from the gravitational energy of accretion of matter of the OB companion. The HMXBs, conventionally, can be further divided into two subgroups: those in which be star is primary (Be/X-ray binary) and those in which the primary star is a super-giant (SG/X-ray binary)1,2 .

A Theoretical Study of Faraday effect in a semiconductor hollow cylinder with finite thickness and evaluation of Faraday (FR) angle as a function of incident light energy for different values of thickness of quantum cylinder

Mrs. Raina Nasreen, Shyam Nandan Prasad and L. K. Mishra

  • Abstract

    Using the theoretical formalism of G G Jabrailova and T G Ismailov (Optoelectronics and Advanced Materials (2010)) and D Dragoman (J Opt Soc Am (2005)), we have theoretically studied the interband FR in a semiconductor hollow quantum cylinder with parabolic confinement potential. Numerical results were obtained with GaAs/AlGaAs hollow cylinder. The selection rules for interband transitions in the fields of right and left circularly polarized light were obtained and the analytical formula for the FR angle has been derived. We evaluated the FR angle as a function of incident light energy for different values of the thickness of the hollow cylinder in the presence of magnetic field. We observed that FR angle oscillates between maxima and minima and the amplitude of the maxima and the distance between them increases with decreasing thicness of the wall. We have also shown the dependence of the overlap integral on quantum numer n and the dependence of the transition energy corresponding to the right and left circularly polarized light on the magnetic field. Our theoretically obtained results are in good agreement with the other theoretical workers. 

Vibrational Assignments and Molecular Structure of 2-Trifluromethy] Benzonitrile by Hartree-Fock and Density Functional Theory Calculations

F. Liakath Ali Khan, G.Saravanan, A. Md. Sabeelullah Roomy

  • Abstract

    In this work, we will report a combined experimental and theoretical study on molecular structure, vibrational spectra and UV spectral analysis of 2-[Trifluromethyl] benzonitrile (2-[TFM]BN ). The FT-IR solid phase (4000-400 cm-1), and FT-Raman spectra (3500-50 cm-1) of 2-[TFM] BN was recorded. The molecular geometry, harmonic vibrational frequencies and bonding features of 2-[TFM]BN in the ground state have been calculated by using ab initio HF/ 6-311++G(d,p) and density functional methods (B3LYP) with 6-311G(d,p)/ 6-311++ G(d,p) as basis sets. The complete assignments were performed on basis of the TED of vibrational modes, calculated with SQM method. Stability of the molecule arising from hyper conjugative interactions, charge delocalization has been analyzed using NBO analysis. The UV spectrum was measured in ethanol solution. The energy and oscillator strength calculated by TD-DFT method are in agreement with the experimental findings. The calculated HOMO and LUMO energies confirm that charge transfer occurs within the molecule. Calculation results were applied to simulate IR and Raman spectra of the title compound which show good agreement with observed spectra.MEP and Mulliken charges are also calculated. 

Unbiased Linear Approximate MLEs for the Location and Scale Parameters of the Half-Logistic Distribution Under Type-II Right Censoring

A. Vasudeva Rao and G. Ranga Babu

  • Abstract

    Since the ML method does not yield an explicit estimator for the scale parameter of half-logistic distribution even in complete samples, this paper provide a simple method of deriving a linear estimator, based on a Type-II right censored sample, by making linear approximations to the intractable terms of the likelihood equation of scale parameter. A Monte Carlo simulation study is made to investigate the performance of this new linear approximate MLE (LAMLE) in relation to MLE and Balakrishnan and Wong’s7 AMLE. Based on the LAMLE of scale parameter and the MLE of location parameter, we construct ‘unbiased’ LAMLEs for location and scale parameters of half-logistic distribution from Type-II right censored samples. When compared these estimators with the corresponding BLUEs based on exact variances, surprisingly, we found that these estimators are just as efficient as the BLUEs. Finally, we present some numerical examples to compare various estimators developed here.

Effect of Temperature and Light intensity on Growth of Pleurotus florida.

S. A. Shinde, A. B. Pandey and S. S. Patil

  • Abstract

    Study was conducted to study the effect of temperature and light intensity on the growth, yield of mushroom fruiting bodies of P. florida. Minimum spawn run period (14 to 19 days) and minimum period for formation of pin head (17-21 days), fruiting bodies (20 – 25 days) was recorded at 25 0C. Maximum period for spawn run ( 26 to 32 days), pin head formation (31 – 35 days) and fruiting body formation (34 -48 days) were reported at 15 0C. From study it was found that, with increase in temperature from 15 to 250C, the yield of mushroom fruiting bodies increased progressively and spawn run period decreased. With increase in period of light exposure from 5 to 14 hours/day and its intensity from 200 – 600 lx, the yield of mushroom was found to be increased. Maximum yield of mushroom fruiting bodies was found (780 gm/kg dry straw) when light exposure of 14 hours at 600 lx light intensity and minimum yield (230 gm/kg dry straw) was recorded to 5 hours of light exposure at 200 lx light intensity.

Peristaltic Flow of A Couple Stress Fluid in an Inclined Channel under the Effect of Magnetic Field through a Porous Medium by Adomian Decomposition Method

V.P. Rathod, Navrang Manikrao and Laxmi Devindrappa

  • Abstract

    The present paper investigates the peristaltic motion of a couple stress fluid in a two dimensional inclined channel with the effect of magnetic field through a Porous Medium by Adomian decomposition method. The effects of various physical parameters on velocity, pressure gradient and friction force have been discussed & computed numerically. The effects of various key parameters are discussed with the help of graphs.

Study Some Factors Effecting Phase Shift In the Rotation Sensor

Shatha.M.AL-Hilly, Afaf. F. Sultan

  • Abstract

    The effect of the angular velocity on the interference pattern of Mach-Zehnder interferometer by using Sagnac effect had been investigated in this study. Different angular velocities (1.5°/sec, 3°/sec,4.5°/sec, and 6°/sec), different diameters of turns (0.22m, 0.4m, 0.6m, and o.75m) and different length of optical fibers (2.8m, 12.8m) were used to study the effect of phase shift. It has been found that any increase in each of the angular velocity, length of optical fiber and diameter of turn leads to an increase in the phase shift. Finally in comparing the experimental with theoretical results, it is found that, there is a good agreement between them. 

Study of Excess Thermodynamic Parameters of Binary Liquid Mixtures of Methyl Benzoate with 1-Nonanol at Different Temperatures

G. Sridevi

  • Abstract

    The densities, viscosities and ultrasonic velocities of the binary liquid mixtures of Methyl Benzoate with 1-Nonanol have been measured at temperatures 303.15K, 308.15K, 313.15K and 318.15K over the entire range of mole fraction of Methyl Benzoate. From the experimental data various thermo acoustical parameters namely adiabatic compressibility (β), free length (Lf), free volume (Vf), internal pressure (πi), enthalpy (H) and Gibb’s free energy of activation have been evaluated. Excess values of the above parameters have also been calculated. The results are explained on the basis of molecular interactions present in these mixtures.

Undirected Zero-Divisor Graphs of Commutative Ring

Sapna Shrimali and Varta Teotia

  • Abstract

    For a commutative ring R, the zero-divisor graph of commutative ring is undirected graph and we are mentioned about ‘n’ module zero-divisor graph which are undirected where ‘n’ is nonprime and n.... Zero divisor Graph is connected, where n is any finite number.

Chaos in Dynamical Bose-Einstein Condensate

Priyanka Verma, A. B. Bhattacherjee and Man Mohan 

  • Abstract

    We examine the chaos in a 1D Bose-Einstein condensate (BEC) in a periodically driven Optical attice (OL) potential. We numerically solve the Gross-Pitaevskii Equation (GPE) where the dynamical potential considered has time dependent phase detuning between the laser beams forming the OL. We investigate the effect of increasing the modulation coefficient in the system which enhances the chaos, while raising the OL height softens it. It is evident from the numerical simulations that, as the coefficient of modulation is increased BEC becomes more chaotic.

Application of a Newly Developed Recurrence Matrix and Finite State Machines for Data Security

Sheela Bhatt

  • Abstract

    In the present modern digitized world, information theory has its own importance. Today’s computer era demands more security over digital communications. Cryptography is one such useful security tool for transmission and reception of secret messages. This paper presents a new cryptography scheme. The objective of the paper is to construct a new Recurrence matrix and apply the same for security in data transmission using finite state machines.

Computing the Cluj-Ilmenau Index of V-Phenylenic Nanotubes and Nanotori

Mohammad Reza Farahani, Muhammad Imran, Dae-Won Lee and M.R. Rajesh Kanna

  • Abstract

    G(V,E) be a connected molecular graph without multiple edges and loops, with the vertex set V(G) and edge set E(G). A counting polynomial, called the Omega Ω(G,x), was proposed by M.V. Diudea. It is defined on the ground of “opposite edge strips” ops. Also, M.V. Diudea introduced a counting index for counting QOC strips in G on based the Omega polynomial, called the Cluj-Ilmenau index CI(G) and is equal to CI(G)=[Ω(G,x)’2-Ω(G,x)’-Ω(G,x)”]x=1. In this paper we compute an exact formula of the Cluj-Ilmenau index for the V-Phenylenic Nanotubes and Nanotori.

A Theoretical Study for Search of Better Metal Plasmonic Materials and Evaluation of Quality Factor for Localized Plasmons Resonances (QLSPR) for Ag, Au, Na, K and Al Metals

Chandeshwar Prasad, S.K. Shrivastav and L.K. Mishra

  • Abstract

    Using the theoretical formalism of P R West etal (Laser Photonic Rev. 2010) and M D Arnold & M G Blaber (Opt. Exp. 2009), we have theoretically studied the search of metals for better plasmonic materials. We have evaluated real and imaginary part of permittivities ε’ and ε” as a function of wavelength for metals like Ag, Au, Al and alkali metals Na, K, Li. Our theoretically evaluated results for ε’ and ε” indicate that ε’ is always negative and ε” is always positive for the above mentioned metals as a function of frequency. We have also evaluated the quality factor for localized surface plasmon resonance (QLSPR) as a function of frequency for these metals. Our theoretically evaluated results are in good agreement with the experimental data and also with other theoretical workers.

LRS Bianchi Type - V String Dust Cosmological Models with Decaying Vacuum Energy

Varun Humad, Harish Nagar and Sapna Shrimali

  • Abstract

    We have investigated LRS Bianchi Type - V string dust cosmological models with decaying vacuum energy. To get the deterministic model of the universe, we assume that rest energy density (ρ) is equal to the string tension density(ρ) and vacuum energyΛ∝𝐻2, H being mean Hubble parameter. Some physical and geometrical features of the model are also discussed.

A Theoretical Evaluation of Quality Factor of Surface Plasmon-Polaritons (QSPP) As a Function of Wavelength (Nm) and Comparative Studies of Metals for Better Plasmonic Materials

Chandeshwar Prasad, S.K. Shrivastav and L.K. Mishra

  • Abstract

    Using the theoretical formalism of P R West etal (Laser Photonic Rev. 2010) and H. Reather, Surface Plasmon on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, Berlin , 1988), we have theoretically evaluated Quality factor for surface plasmon-polaritons QSPP as a function of wavelength (nm) for metals like Ag, Au, Al, Na and K. We have also performed comparative studies of these metals by taking the maximum value of the quality factor for four wide applications. The comparative studies show that there is not a single clear choice for best low-loss plasmon materials (Metals) for all applications at all frequencies. It also suggest that a variety of materials combinations must be fine-tuned and optimizrd for individual studies and applications. An improved plasmonic material has the potential to make an enormous impact on both optics and nanoelctronics by allowing for a new generation of unparrelled device applications.

Marichev-Saigo-Maeda Fractional Calculus Operators Involving Generalized Mittag-Leffler Function

Rajeev Kumar Gupta, Bhupender Singh Shaktawat and Dinesh Kumar

  • Abstract

    The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj 1. The considered generalized fractional calculus operators contain the Appell’s function F32 [p.224] as kernel and are introduced by Saigo and Maeda. The Marichev-Saigo-Maeda fractional calculus operators are the generalization of the Saigo fractional calculus operators. The established results provide extensions of the results given by Gupta and Parihar, Saxena and Saigo, Samko et al. On account of the general nature of the generalized Mittag-Leffler function and generalized Wright function, a number of known results can easily be found as special cases of our main results.

Power Function of CST Procedure Based on two PTS in Four-Stage Unbalanced Nested Designss

Anita Mehta

  • Abstract

    In this paper we have been derived the expression for power and size of the CST procedure for four-stage partially balanced nested designs. Further, we have derived the formulae for power and size of the CST procedure for balance at third-stage as well as at fourth-stage within ith first-stage. The power of CST procedure denoted by (θ)TP can be obtained by adding different power components P11,P12,P13 and P14. i.e. PT(θ)= P11+P12 +P13+P14 WhereP11,P12,P13 and P14 be the probabilities of eventsE 11, E12, E13 and E14 respectively.

Homogeneous Anisotropic Bianchi Type IX Cosmological Model for Stiff Fluid Distribution in General Relativity

D S Chouhan, Dhirendra Chhajed

  • Abstract

    We have investigated homogeneous anisotropic Bianchi type IX cosmological model for stiff fluid distribution in General Relativity. For the complete determination of the model, we have assumed the condition a=b2 between metric potentials. The various physical and geometrical aspects of the model are also discussed.

Generalization of Prey Predator Model with Harvesting on Susceptible Prey

Dinesh Kumar Verma, V. H. Badshah, Suman Jain

  • Abstract

    In this paper we generalize the prey predator model with susceptible prey. Locally asymptotically stability of the system is discussed in the present model. We analyzed the model in terms of catch rate coefficient.

Radiation-Type of Problems Using Generalized Hankel Type Integral Transformation

V. R. Lakshmi Gorty

  • Abstract

    In this paper, the generalized Hankel type integral transformation of three real parameters is used to solve boundary value problems. Three problems of heat conduction in an infinite, semi-infinite and a finite circular cylinder bounded by given surfaces with radiation-type boundary value conditions are solved using the transforms.

Bianchi Type V Cosmological Model for Stiff Perfect Fluid Distribution with Variable Magnetic Permeability

Dhirendra Chhajed, D S Chouhan

  • Abstract

    Bianchi type V cosmological model for stiff perfect fluid distribution with variable magnetic permeability is investigated. The magnetic field is due to an electric current produced along x-axis. Thus F23 is only non-vanishing component of electromagnetic field tensor Fij. The various physical and geometrical aspects of the model are also discussed.

Inhomogeneous Bianchi Type VIh String Dust Cosmological Model of Perfect Fluid Distribution in General Relativity

Arvind Sharma, Atul Tyagi , Dhirendra Chhajed

  • Abstract

    Inhomogeneous Bianchi type VIh string dust cosmological model filled with prefect fluid in general relativity is investigated. To obtain the deterministic solution of Einstein field equations, we assume that string tension density λ is equal to rest density ρ i.e. λ = ρ. The various physical and geometrical features of the model are also discussed

Solution of Linear Fractional Non-Homogeneous Differential Equations with Derivative of Jumarie Fractional Type

Dinesh Kumar and Jitendra Daiya

  • Abstract

    In this paper we develop a method to solve the linear non-homogeneous fractional differential equations, composed with Jumarie type Fractional Derivative. The solutions are obtained in terms of Mittag-Leffler functions, fractional sine and cosine functions. This method proposed by us is useful as it is having conjugation with the classical methods of solving non-homogeneous linear differential equations composed via Jumarie fractional derivative, and also useful in understanding physical systems described by fractional differential equations.

A Note on Φd-Frames in Banach Spaces

H. K. Pathak and Mayur Puri Goswami

  • Abstract

    In this note, we introduce and study a new notion of Φd-frames in Banach spaces. A necessary and sufficient condition for the existence of Φd-frames has been discussed. It has been proved that the linear homeomorphic image of a Φd-frame is a Φd -frame. In the sequel, we have shown the productivity of Φd-frames by realizing that the product of two Φd-frames in Banach spaces yields a Φd-frame. Finally, we provide an application of Φd-frame in boundary value problems

Single and Multi-Channel Queuing Models (A Comparison Study)

Tariq Ahmad Koka and V.H. Badshah

  • Abstract

    Queues or waiting lines are a common phenomenon in everyday life. The essence of this phenomenon is the low efficiency of queuing system. In this paper we treat two elementary queuing models. Attention is paid to methods for analysis of these models and also to application of queuing models. The queuing number, the service windows number, and the optimal service rate are investigated by means of queuing theory. The time of customer queuing is reduced. The customer satisfaction is increased. By the example, the results are effective and practical.

Bianchi Type III Bulk Viscous Cosmological Model in General Relativity

Teena Joshi, Sapna Shrimali

  • Abstract

    We have investigated the Bianchi type III Cosmological model in General relativity. To obtain the determinate model it is assume that there is an equation of states Λ∝θ i.e. the cosmological constant is proportional to expansion scalar. Some physical and geometrical features of model are discussed.

A Note on G-Semi-Closure and G-Semi-Interior

J.K. maitra and H.K. tripathi

  • Abstract

    In this paper we have introduced the notions of g-semi-closure and g-semi-interior of a set in a generalized topological space and obtained its significant properties. We have constructed some important examples.

On Some Expansion Theorems Involving Confluent Hypergeometric 2F2(x) Polynomial

Yashoverdhan Vyas and Kalpana Fatawat

  • Abstract

    Recently, Rathie and Kılıçman (2014) employed Kummer-type transformation for 2F2(a,b+1;b,d;x) to develop certain classes of expansions theorems for 2F2(x) hypergeometric polynomial. Our aim is to deduce Kummer-type transformation for 2F2(a,d+2;b,d;x) and utilize it to develop some new expansion theorems for the confluent hypergeometric 2F2(x) polynomial. We also obtain a well-known result given by Kim et al. (Integral Transforms Spec. Funct. 23(6); 435-444, 2012) and many other new results as particular cases of our theorems.

On transformation formulae for Srivastava-Daoust type q-hypergeometric series

Yashoverdhan Vyas, Kalpana Fatawat

  • Abstract

    We present here the q-analogues of certain transformations or reduction formulae for Srivastava-Daoust type double hypergeometric series. These reduction formulae are derived by utilizing the extended Bailey’s Transform developed and studied by Joshi and Vyas [Int. J. Math. Sci., (12), 2005, 1909-1927]. A number of well-known q-hypergeometric transformations are also obtained as special cases of our results.

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