Volume-7 , Issue-3 , Jun 2019, ISSN 2348-3423 (Online) Go Back

• Open Access   Article

  Magnetized LRS Bianchi Type-I Massive String Cosmological Model for Perfect Fluid Distribution with Cosmological Term Λ

  Kirti Jain, Dhirendra Chhajed, Atul Tyagi

  Research Paper | Isroset-Journal (IJSRPAS)

  Vol.7 , Issue.3 , pp.167-172, Jun-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v7i3.167172

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  Abstract
  In the present paper, we have investigated magnetized LRS Bianchi type-I massive string cosmological model for perfect fluid distribution with cosmological termΛ. To obtain the explicit solution of the model we suppose expansion θ is propotional to the shear σ and Λ is inversely proportional to R^3, where R is scale factor under two cases: (i) ρ+λ=0 and (ii) ρ-λ=0 where ρ and λ are proper energy density and string tension density respectively. We have also discussed physical and geometrical characteristics of the cosmological model.

  Key-Words / Index Term
  Bianchi type-I, perfect fluid, electromagnetic field, cosmological term, massive string

  References
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  Bali, R. and Singh, S., “Locally Rotationally Symmetric Bianchi Type-I Massive String Cosmological Models with Vacuum Energy Density and magnetic Field in General Relativity”, Canadian Journal of Physics, 1-14, 2015.
  Bhoyar, S.R. and Chirde, V.R., “Magnetized Anti-Stiff Fluid Cosmological Models with Variable Cosmological Constant”, International Journal of Scientific Research in Mathematical and Statistical Sciences, 5, 11-18, 2018.
  Chawla, C., Mishra, R.K. and Pradhan, A., “Anisotropic Bianchi Type-I Cosmological Model in string Cosmology with Variable Deceleration Paramete”, Rom. Journ. Phys., 58, 1000-1013, 2013.
  Deo, S.D., Punwatkar, G.S. and Patil, U.M., “Anisotropic Bianchi Type-I Cosmological Model with Wet Dark Energy in General Theory of relativity”, Advances in Applied Science Research, 5, 391-396, 2014.
  Deo, S.D., Punwatkar, G.S. and Patil, U.M., “Some Investigation LRS Bianchi Type-I Model in General Relativity”, International Journal of Engineering & Technology, 3, 758-761, 2014.
  Dubey, R.K., Dwivedi, S. and Saini, A., “Bianchi Type-I Viscous Fluid Cosmological Models with Stiff Matter and Time-Dependent Λ Term”, Global Journal of Mathematics, 3, 237-243, 2015.
  Dubey, R.K., Tripathi, S.K. and Pandey, D., “LRS Bianchi Type-I Model with Constant Value of Deceleration Parameter”, International Journal of Physics and Mathematical Sciences, 6, 82-87, 2016.
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  Humad, V. and Shrimali, S., “Bianchi Type-I String Cosmological Models in General Relativity”, Ultra Scientist, 26, 139-142, 2014.
  Kandalkar, S.P., Khade, P.P. and Gawande, S.P., “Homogeneous Bianchi Type-I Cosmological Model filled with Viscous Fluid with a VaryingΛ”, Rom. Journ. Phys., 54, 195-205, 2008.
  Mathur, R., Singh, G.P. and Tyagi, A., “Expanding and Shearing Bianchi Type-I Non-Static Cosmological Model in General Relativity”, Prespacetime Journal, 6, 769-776, 2015.
  Mathur, R., Singh, G.P. and Tyagi, A., “Bianchi Type-I Viscous Fluid Cosmological Model with Electromagnetic Field”, Journal of chemical, Biological and Physical Sciences, 5, 4319-4329, 2015.
  Pradhan, A., Kumhar, S.S. and Jotania, K., “Anisotropic Bianchi Type-I Massive String Cosmological Models in General Relativity”, Palestine Journal of Mathematics, 1, 117-122, 2012.
  Pawar, D.D. and Shahare, S.P., “Magnetized Bulk Viscous Fluid Cosmological Models with Time Varying Cosmological Term”, International Journal of Advances in Science Engineering and Technology, 1, 90-97, 2015.
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  Citation
  Kirti Jain, Dhirendra Chhajed, Atul Tyagi, "Magnetized LRS Bianchi Type-I Massive String Cosmological Model for Perfect Fluid Distribution with Cosmological Term Λ," International Journal of Scientific Research in Physics and Applied Sciences, Vol.7, Issue.3, pp.167-172, 2019

• Open Access   Article

  Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator

  Rahul Gupta, Rohit Gupta and Dinesh Verma

  Research Paper | Isroset-Journal (IJSRPAS)

  Vol.7 , Issue.3 , pp.173-175, Jun-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v7i3.173175

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  In this paper, an impulsive response of a lightly damped harmonic oscillator is obtained by solving its equation of motion by the convolution method. Generally, it has been obtained typically. Convolution method provides an easy approach towards obtaining the impulsive response of a lightly damped harmonic oscillator. This paper brings up the convolution method as an easy and effective approach for obtaining the impulsive response of a lightly damped harmonic oscillator and presents a new technological approach to solve the Ordinary differential equations. We extend this method to obtain the response of an overdamped oscillator. It provides a powerful mathematical tool and reveals that the convolution method is effective and simple.

  Key-Words / Index Term
  Lightly Damped Harmonic Oscillator, Impulsive Response, Convolution Method

  References
  [1] Fundamentals of Physics by Dr. Robert Resnick and David Halliday. 6th edition.
  [2] A Text Book of Engineering Mathematics by N.P. Bali and Dr. Manish Goyal. 9th edition 2014.
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  [7] Higher Engineering Mathematics by Dr. B.S. Grewal. 43rd edition 2015.

  Citation
  Rahul Gupta, Rohit Gupta and Dinesh Verma, "Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator," International Journal of Scientific Research in Physics and Applied Sciences, Vol.7, Issue.3, pp.173-175, 2019

• Open Access   Article

  Langmuir Wave energy upconversion in presence of Lower Hybrid Wave turbulence in Polar Ionospheric Plasma

  S.J.Gogoi and P.N.Deka

  Research Paper | Isroset-Journal (IJSRPAS)

  Vol.7 , Issue.3 , pp.176-181, Jun-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v7i3.176181

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  In the Earth’s ionosphere wide range of instabilities are observed due to presence of free energy sources. Wave-wave and wave-particle interaction processes may take place here. Through wave-particle interaction process wave energy can be pumped up from the system for amplification of high frequency non-resonant wave where low frequency turbulence is present. In this study we have considered ionosphere as homogeneous medium and wish to investigate probable amplification of non-resonant Langmuir wave in the presence of resonant Lower hybrid wave through nonlinear wave-particle interaction. We have estimate growth rate of Langmuir wave using satellite observational data.

  Key-Words / Index Term
  Ionospheric Plasma, Langmuir wave, Lower hybrid wave, Plasma maser effect

  References
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  Citation
  S.J.Gogoi and P.N.Deka, "Langmuir Wave energy upconversion in presence of Lower Hybrid Wave turbulence in Polar Ionospheric Plasma," International Journal of Scientific Research in Physics and Applied Sciences, Vol.7, Issue.3, pp.176-181, 2019

• Open Access   Article

  Effect of post-annealing temperature on linear and non-linear optical properties of sol-gel spin coated CdS thin films

  M. Venkata Veera Prasad, K. Thyagarajan, B. Rajesh Kumar

  Research Paper | Isroset-Journal (IJSRPAS)

  Vol.7 , Issue.3 , pp.182-189, Jun-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v7i3.182189

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  Abstract
  Cadmium sulfide thin films were prepared by sol-gel spin coating method on glass substrates and its effect of post-annealing temperature on linear and non-linear optical properties were investigated. X-ray diffraction results showed that the grown CdS thin films exhibit cubic phase with (1 1 1) as a preferential orientation. The surface morphology of CdS thin films was characterized by using atomic force microscopy. The electrical resistivity of CdS thin films measured from the four-probe method decreased from 0.74 × 104 to 0.12 × 104 Ω.cm with the increase of post-annealing temperature from 150 to 300°C. The optical band gap of CdS thin films is found to be 2.42 eV, whereas its band gap decreased from 2.35 to 2.21 eV with the increase of post-annealing temperature from 150 to 300°C. The normal dispersion of refractive index for CdS thin films was described using Wemple-DiDomenico single-oscillator model. The optical dispersion parameters for CdS thin films were reported in this study. The Verdet constant is calculated based on the refractive index dispersion study. The first, third order nonlinear optical susceptibility (χ(1) , χ(3)) and nonlinear refractive index n(2) were also determined.

  Key-Words / Index Term
  Sol-gel spin coating; CdS thin films; X-ray diffraction; Atomic force microscopy; Optical properties.

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  Citation
  M. Venkata Veera Prasad, K. Thyagarajan, B. Rajesh Kumar, "Effect of post-annealing temperature on linear and non-linear optical properties of sol-gel spin coated CdS thin films," International Journal of Scientific Research in Physics and Applied Sciences, Vol.7, Issue.3, pp.182-189, 2019