Showing papers in "Indian Journal of Physics in 2020"
TL;DR: In this paper, the structural, elastic, electronic, magnetic and thermodynamic properties of Co2TaGa full-Heusler alloy were investigated using density functional theory-based full-potential linearized augmented plane waves method.
Abstract: The structural, elastic, electronic, magnetic and thermodynamic properties of Co2TaGa full-Heusler alloy are investigated using density functional theory-based full-potential linearized augmented plane waves method. Our results present Co2TaGa full-Heusler in CuHg2Ti-type structure FM phase that is mechanically and dynamically stable at pressure. The negative formation energy of Co2TaGa is −1.516 eV that can be synthesized experimentally. The electronic properties of 3d transition metal-based full-Heusler compound Co2TaGa are calculated within Perdew–Burke–Ernzerhof generalized gradient approximation. Co2TaGa is predicted to be half-metallic ferrimagnet with an indirect band gap and 100% spin polarization. The calculated total magnetic moment is 2 μB, which is mainly determined by Co partial moment, and total spin magnetic moment is in conformity with Slater–Pauling rule Mt that gives a simple function of valence electrons number, Zt, formulated as Mt = Zt − 18.
147 citations
TL;DR: In this paper, structural, electronic, elastic and thermodynamic properties of Ni2LaZ (Z, Sb and Bi) Heusler alloys based on rare earth element have been investigated using full-potential linear muffin-tin orbital (FP-LMTO) method within generalized gradient approximation (GGA) in the frame of density functional theory.
Abstract: Structural, electronic, elastic and thermodynamic properties of Ni2LaZ (Z = As, Sb and Bi) Heusler alloys based on rare earth element have been investigated using full-potential linear muffin-tin orbital (FP-LMTO) method within generalized gradient approximation (GGA) in the frame of density functional theory (DFT). By using total energy variations, the independent elastic constants and their pressure dependence have been determined. Also, anisotropic parameter (A), shear modulus (G), Young modulus (E), Poisson’s ratio (ν), ratio (B/G) are calculated. Using quasi-harmonic Debye model, thermodynamic properties of Ni2LaZ (Z = As, Sb and Bi) Heusler alloys are investigated in temperature range 0–1200 K and pressure range 0–50 GPa. The temperature and pressure effects on the unit cell volume, bulk modulus (B), heat capacities (Cv) at stable volume, (Cp), Debye temperatures (θD), Gibbs energies (G), thermal expansion coefficients (α) and entropies (S) are determined from non-equilibrium Gibbs functions. This study allows to understand deeply the structural and thermodynamic properties of Ni2LaZ (Z = As, Sb and Bi) Heusler alloys in shortest time and cost-effective.
109 citations
TL;DR: In this article, an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov-Uvarov method, was obtained.
Abstract: We obtained an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov–Uvarov method. The bound state energy eigenvalues for N2, CO, NO, and CH diatomic molecules were computed for various vibrational and rotational quantum numbers. Special cases were considered when the potential parameters were altered, resulting into modified Kratzer potential, screened Coulomb potential, and standard Coulomb potential, respectively. Their energy eigenvalues expressions and numerical computations agreed with the already existing literatures.
76 citations
TL;DR: In this article, the authors studied analytically the propagation of spiky solitary waves model by higher-order nonlinear one-dimensional K-dV equation arising in plasma physics and found a series of more general and new families of solutions.
Abstract: In this article, we studied analytically the propagation of spiky solitary waves model by higher-order nonlinear one-dimensional K-dV equation arising in plasma physics. By using auxiliary equation mapping method, we found a series of more general and new families of solutions. These solutions are more powerful in the development of soliton dynamics, quantum plasma, adiabatic parameter dynamics, biomedical problems, fluid dynamics, industrial studies, and many other fields. The calculations are more reliable, straightforward, and effective to study analytically other nonlinear complicated physical problems. We have expressed our solutions graphically with the help of Mathematica 10.4 to understand physically the behavior of different shapes of solitary waves including kink type, anti-kink type, half bright and dark soliton.
69 citations
TL;DR: In this article, the authors proposed a new potential called Hellmann-Kratzer potential, which is a superposition of Hellmann potential and modified Kratzer, and calculated the energy eigenvalue and the corresponding wave function using the Nikiforov-Uvarov method.
Abstract: The approximate analytical solutions of the radial Schrodinger equation have been obtained with a newly proposed potential called Hellmann–Kratzer potential. The potential is a superposition of Hellmann potential and modified Kratzer potential. The Hellmann–Kratzer potential actually comprises of three different potentials which include Yukawa potential, Coulomb potential and Kratzer potential. The aim of combining these potentials is to have a wide application. The energy eigenvalue and the corresponding wave function are calculated in a closed and compact form using the Nikiforov–Uvarov method. The energy equation for some potentials such as Kratzer, Hellmann, Yukawa and Coulomb potentials has also been obtained by varying some potential parameters. Our results excellently agree with the already existing literature. Some numerical results have been computed. We have plotted the behaviour of the energy eigenvalues with different potential parameters and also reported on the numerical result.
57 citations
TL;DR: In this article, the impact of slip conditions on the two-dimensional unsteady mixed convection flow of electrical magnetohydrodynamic nanofluid over a stretching sheet in the presence of thermal radiation, viscous dissipation, and chemical reaction was studied.
Abstract: This paper mainly focuses on the impacts of slip conditions on the two-dimensional unsteady mixed convection flow of electrical magnetohydrodynamic nanofluid over a stretching sheet in the presence of thermal radiation, viscous dissipation, and chemical reaction. The synchronized impacts of electric and magnetic fields on the momentum and energy fields using Buongiorno nanofluid model were introduced to enhance thermal conductivity and hence create more pathways to heat transfer performance of nanofluid. The highly nonlinear couple systems of partial differential equations were modeled as a set of nonlinear ordinary differential equations by using suitably defined transformations which are then solved by implicit finite difference scheme known as Keller box method. It was established that velocity has a direct opposite relationship with electric and magnetic fields. The velocity, temperature, and concentration profiles caused intense decay to velocity slip, thermal slip, and solutal slip, with permeability condition. Magnetic field enhances the nanofluid temperature intensely with impermeable medium resulting in a decrease in heat transfer rate from the surface. The heat convection current is strengthened by viscous dissipation and radiative heat transfer prevailing impermeability, which leads to a reduction in heat transfer rate. Comparisons with previously published works seen in the literature were made, and the result was found to be in excellent agreement.
50 citations
TL;DR: In this paper, the sine-Gordon expansion method was used to solve the Gilson-Pickering equation by using the sinescale expansion method and various exact solitary wave solutions to the governing equation, such as shock wave, topological, non-topological, compound topological and soliton wave solutions.
Abstract: This study investigates the Gilson–Pickering equation by using the sine-Gordon expansion method. Sine-Gordon expansion method is one of the most powerful methods for solving the nonlinear partial differential equations.
We successfully construct various exact solitary wave solutions to the governing equation, such as shock wave, topological, non-topological, compound topological, and non-topological soliton wave solutions. In addition, the stability of the studied nonlinear equation is analyzed via the linear stability analysis. The 2D, 3D, and contour surfaces are also plotted for all obtained solutions.
43 citations
TL;DR: In this article, a new model of three-phase-lag heat conduction of higher-order time-fractional derivatives has been derived based on fractional calculus using the approach of the Taylor series expansion of time fractional order developed by Jumarie.
Abstract: In the last few years, the theory of fractional calculus has been successfully used in thermoelasticity theories and many models of thermoelasticity with fractional order are established by several authors. In the present article, a new model of three-phase-lag thermoelastic heat conduction of higher-order time-fractional derivatives has been derived based on fractional calculus. Using the approach of the Taylor series expansion of time-fractional order developed by Jumarie (Comput Math Appl 59:1142, 2010), an alternative construction model is established extending Ezzat and others (Arch Appl Mech 82:557, 2012) and Roychoudhuri (J Therm Stress 30:231, 2007) models. This new model includes high-order time-fractional derivative approximations of three-phase-lags in the heat flux vector, the temperature gradient and in the thermal displacement gradient. We applied the resulting formulation to an infinite non-homogeneous orthotropic thermoelastic functionally graded medium having a spherical cavity with a power-law distribution of material properties along the radial direction. The effects of high-order time-fractional derivative parameters and non-homogeneity index on various distributions are discussed in detail and represented graphically and tabular forms. Finally, to illustrate the validity and accuracy of the proposed model, a comparison was made with various previous models, which are considered as special cases of our model.
40 citations
TL;DR: In this article, the generalized Kadomtsive-Petviashvili modified equal width-Burgers (KP-MEW-B) equation described the propagation of long-wave with dissipation and dispersion in nonlinear media.
Abstract: The generalized Kadomtsive–Petviashvili modified equal width-Burgers (KP-MEW-B) equation described the propagation of long-wave with dissipation and dispersion in nonlinear media. We investigated the solitary wave solutions of generalized KP-MEW-B equation by applying modification form of extended auxiliary equation mapping method. As a results, families of solitary wave solutions are obtained in different form of solitons: the single bright–dark solitons, the double bright–dark solitons and traveling wave solutions. The physical structure of these new solutions are shown in two and three dimensional graphically with the aid of computer software Mathematica. These obtained new solutions show the power and effectiveness of this new method. We can also solve other unstable nonlinear system of PDEs which are involved in mathematical physics and many other branches of physical sciences with the help of this new method .
37 citations
TL;DR: In this article, the universal model of integrable system of modify unstable nonlinear Schrodinger equation was investigated and the exact and solitary wave solutions of mUNLSE with the help of modified extended auxiliary equation mapping method were obtained.
Abstract: In this research article, we investigated the universal model of integrable system of modify unstable nonlinear Schrodinger equation. The mUNLSE described the disturbance of time period in slightly stable and unstable media and managed the instability of modulation wave train. We found the exact and solitary wave solutions of mUNLSE with the help of modified extended auxiliary equation mapping method. As a result, exact and solitary wave solutions in the form of elliptic functions, trigonometric functions, hyperbolic functions, bright and dark solitons, traveling wave, kink-type solitons and periodic solitary wave solution are obtained. These solutions show the power and effectiveness of this new method and two- and three-dimensional graphically with the help of computer software Mathematica. We can also solve other unstable nonlinear system of PDEs which are involved in Mathematical physics and many other branches of physical sciences with the help of this new method.
37 citations
TL;DR: In this paper, the structural, elastic and optoelectronic properties for cubic halide perovskites AGeX3 have been successfully studied using the density functional theory with the generalized gradient approximation of Perdew-Burke-Ernzerhof (GGA-PBE).
Abstract: The structural, elastic and optoelectronic properties for cubic halide perovskites AGeX3 (A = K, Rb and Cs, X = F, Cl and Br) have been successfully studied in this paper, using the density functional theory with the generalized gradient approximation of Perdew–Burke–Ernzerhof (GGA-PBE). The modified Becke–Johnson (mBJ-GGA) potential approximation was used to describe the band structure more accurately. The calculated band structure from mBJ gives appropriate optoelectronic properties of these materials. Band structure calculations reveal a semiconducting behavior with a direct band gap at the R-point in the reciprocal lattice space, with values lying between 0.79 and 2.87 eV. The compounds of interest are mechanically stable, anisotropic and ductile in nature. The optical properties indicate that these compounds can be used in various optoelectronic devices operating in the visible and ultraviolet energies. To the best of our knowledge, this is the first quantitative theoretical prediction of the elastic, electronic and optical properties for these compounds which still awaits experimental confirmation.
TL;DR: In this paper, a mathematical model is presented for laminar, steady natural convection mass transfer in boundary layer flow from a rotating porous vertical cone in anisotropic high-permeability porous media.
Abstract: A mathematical model is presented for laminar, steady natural convection mass transfer in boundary layer flow from a rotating porous vertical cone in anisotropic high-permeability porous media The transformed boundary value problem is solved subject to prescribed surface and free stream boundary conditions with a Maple 17 shooting method Validation with a Chebyshev spectral collocation method is included The influence of tangential Darcy number, swirl Darcy number, Schmidt number, rotational parameter, momentum (velocity slip), mass slip and wall mass flux (transpiration) on the velocity and concentration distributions is evaluated in detail The computations show that tangential and swirl velocities are enhanced generally with increasing permeability functions (ie, Darcy parameters) Increasing spin velocity of the cone accelerates the tangential flow, whereas it retards the swirl flow An elevation in wall suction depresses both tangential and swirl flow However, increasing injection generates acceleration in the tangential and swirl flow With greater momentum (hydrodynamic) slip, both tangential and swirl flows are accelerated Concentration values and Sherwood number function values are also enhanced with momentum slip, although this is only achieved for the case of wall injection A substantial suppression in tangential velocity is induced with higher mass (solutal) slip effect for any value of injection parameter Concentration is also depressed at the wall (cone surface) with an increase in mass slip parameter, irrespective of whether injection or suction is present The model is relevant to spin coating operations in filtration media (in which swirling boundary layers can be controlled with porous media to deposit thin films on industrial components), flow control of mixing devices in distillation processes and also chromatographical analysis systems
TL;DR: In this article, the influence of dissipation and Joule heating on the magnetohydrod dynamic squeezing flow between two Riga plates with Cattaneo-Christov heat flux is investigated.
Abstract: The present work is committed to study the influence of dissipation and Joule heating on the magnetohydrodynamic squeezing flow between two Riga plates with Cattaneo–Christov heat flux. Riga plate is known as an electromagnetic actuator which comprises of permanent magnets and alternating electrodes placed on a plane surface. A non-Fourier (Cattaneo–Christov) heat flux by considering thermal relaxation time to Fourier’s law is implemented to analyse the features of heat transfer. The resulting system of nonlinear ordinary differential equations together with the boundary conditions is solved numerically by the RK Fehlberg method with shooting technique. The effects of diverse parameters on the flow, energy and concentrations are discussed and displayed graphically. Additionally, the influence of selected parameters on reduced skin friction, Nusselt number and Sherwood number is also graphically illustrated. It is noticed that there is a significant increase in temperature of the fluid with rising viscous dissipation and Joule dissipation. In addition, increasing squeezing parameter and magnetic field parameter results a strong reduction in skin friction at the upper Riga plate. A consistent growth in Nusselt number is observed with rising Eckert number, length parameter, radiation parameter and thermal Biot number.
TL;DR: In this paper, the effect of Ce3+ substitution on the structural, morphological, dielectric, and impedance spectroscopic investigations are probed by using X-ray diffraction (XRD), scanning electron microscope (SEM), and impedance analysis, respectively.
Abstract: Cerium (Ce3+)-substituted cobalt–nickel (Co–Ni) ferrite nanostructures of spinel cubic phase with space group Fd$$\bar{3}$$m had been successfully engineered by solution combustion route. The effect of Ce3+ substitution on the structural, morphological, dielectric, and impedance spectroscopic investigations are probed by using X-ray diffraction (XRD), scanning electron microscope (SEM), and impedance analysis, respectively. Rietveld refinement of XRD data reveal that samples exhibit well-crystalline nature with single phase. The microstructural realm with various Ce3+ doping levels has been identified from SEM micrographs. The replacement of Fe3+ by Ce3+ cations has been confirmed by using energy-dispersive analysis of the ferrite samples. The dielectric constant (e′), dielectric loss (tanδ), ac conductivity (σac), and impedance (Z′ and Z″) at room temperature is investigated as a function of frequency, respectively. The variation of dielectric properties e′, tanδ, σac with frequency are explained by Maxwell–Wagner type of interfacial polarization and the hopping of charge between Fe2+ and Fe3+ as well as the dopant ions at B-sites. The decrease in dielectric constant and dielectric loss tangent with frequency follows the phenomenon of Debye’s relaxation. The enhancement in AC conductivity with frequency is proportional to Ce3+ concentration which follows Jonscher law. The complex impedance plots (Z′ vs. Z″) allows to determine the contribution for conductivity either from grain or grain boundary. Complex electric modulus plot (M′ vs. M″) provides the validation to the result drawn from the complex impedance plots. The results indicate the existence of non-Debye type of relaxation in these ferrites. Impedance spectroscopy allows the ferrite materials to estimate electrical properties which arise due to hopping and relaxation phenomena.
TL;DR: In this paper, an examination of simultaneous effects of Hall current and heat radiation on three-dimensional micropolar CNT-based nanofluid flow between two rotating sheets is carried out.
Abstract: An examination of simultaneous effects of Hall current and heat radiation on three-dimensional micropolar CNT-based nanofluid flow between two rotating sheets is carried out. The upper sheet is considered to be porous, and the fluid flow is induced due to stretching of the lower sheet. The flow model is presented by a system of nonlinear partial differential equations (PDEs). The leading PDEs are transformed into dimensionless coupled ordinary differential equations by the usual procedure of transformation. The transformed differential equations are solved by the optimal homotopy analysis method in order to analyze the velocity as well as temperature of nanofluid and microrotation of nanotubes. Analysis for physical quantities of interest, viz. skin friction coefficient and Nusselt number, are also carried out for the two kinds of nanotubes, single-wall carbon nanotubes and multiwall carbon nanotubes. It is observed that microrotation of nanotubes increased with the increase in coupling parameter, whereas it slows down with an increase in spin gradient viscosity parameter. An intense magnetic field results in a reduction of skin friction coefficient, whereas an increase in the suction of fluid through upper plate forces a surge in the value of skin friction coefficient.
TL;DR: In this paper, the effect of illumination on the electrical parameters such as zero-bias barrier height (Φbo), ideality factor (n), reverse saturation current (Io), series resistance (Rs), and shunt resistance (Rsh) was investigated.
Abstract: Reverse- and forward-bias current–voltage (I–V) data of the Au/(P3DMTFT)/n-GaAs Schottky barrier diodes (SBDs) were measured in dark and at under various illumination levels (from 50 to 200 W with steps of 25 W) for the purpose of examining the change in electrical parameters such as zero-bias barrier height (Φbo), ideality factor (n), reverse saturation current (Io), series resistance (Rs) and shunt resistance (Rsh) with illumination. The values of n, Φbo and Io were determined using I–V data in dark as 1.34, 0.91 eV and 7.25 × 10−12 A, respectively. On the other hand, these parameters were obtained as 1.85, 0.80 eV and 5.11 × 10−10 A, respectively, when the SBD is exposed to 200 W illumination. The values of shunt resistance (Rsh) and series resistance (Rs) were determined from Ohm’s law and shown as Ri–V plots. Additionally, Cheung’s and modified Norde’s functions were also utilized for the extraction of Rs in dark and under various illumination levels. The energy density distribution profiles of interface states (Nss) were investigated for various illumination levels. The dependency of the energy density distribution profiles of interface states (Nss) on illumination levels was investigated. Obtained results suggest that these electrical parameters are sensitive to illumination. Moreover, Au/(P3DMTFT)/n-GaAs SBDs shows remarkable photovoltaic performance with the values of short-circuit current (Isc) of 1.45 × 10−6 A, open-circuit voltage (Voc) of 0.37 V and fill factor of 0.65 under 200 W illumination.
TL;DR: In this paper, the transient phenomena due to the influence of an induced magnetic field and the presence of moving heat source in a thermoelastic rod in the context of the Lord-Shulman (LS) theory of generalized thermelasticity have been investigated.
Abstract: Fractional derivative is a widely accepted theory to describe the physical phenomena and the processes with memory effects which is defined in the form of convolution-type integrals involving kernels as power functions. Due to the shortcomings of power law distributions, some other forms of derivatives with few other kernel functions have been proposed. This present survey deals with a novel mathematical model of generalized thermoelasticity which investigates the transient phenomena due to the influence of an induced magnetic field and the presence of moving heat source in a thermoelastic rod in the context of Lord–Shulman (LS) theory of generalized thermoelasticity. Both ends of the rod are fixed and are thermally insulated.
Employing the Laplace transform, the problem has been transformed to the space-domain have been solved analytically. Finally, solutions in the real-time domain are obtained on applying the numerical inversion of Laplace transform, which has been carried out employing the Riemann-sum approximation method. Numerical computations for stress, displacement and temperature within the rod is carried out and have been demonstrated graphically. The results also demonstrate how the speed of the moving heat source influences the thermophysical quantities.
It is observed that the temperature, thermally induced displacement and stress of the rod are found to decrease at large source speed.
Also, significant differences on the thermophysical quantities are revealed due to the influence of magnetic field and memory effect also.
TL;DR: In this paper, the authors used the analytical mathematical methods of the nonlinear (3+1)-dimensional extended Zakharov-Kuznetsov dynamical, modified KdV-Zakharov and generalized shallow water wave equations to demonstrate the efficiency and validity of the proposed powerful technique.
Abstract: The higher order of nonlinear partial differential equations in mathematical physics is studied.
We used the analytical mathematical methods of the nonlinear (3+1)-dimensional extended Zakharov–Kuznetsov dynamical, modified KdV–Zakharov–Kuznetsov and generalized shallow water wave equations to demonstrate the efficiency and validity of the proposed powerful technique. The shallow water wave models have been applied in tidal waves and weather simulation. Exact wave solutions of these models in various forms such as Kink and anti-Kink solitons, bright–dark soliton, solitary wave and periodic solutions are constructed that have plenty of applications in diverse areas of physics. Graphically, we presented the movement of some obtained solitary wave solutions that aids in understanding the physical phenomena of these models.
TL;DR: In this article, the numerical solution of fractional-order Bloch equations in MRI is obtained using q-homotopy analysis transform method (q-HATM), which is compared with those from the existing methods and the exact solution.
Abstract: In this article, the numerical solution of fractional-order Bloch equations in MRI is obtained using q-homotopy analysis transform method (q-HATM). The results are compared with those from the existing methods and the exact solution. The results for fractional values of time derivative are discussed using figures and tables. Figures are made using Maple package. The provided examples illustrate the accuracy and competency of the q-HATM.
TL;DR: In this paper, the model of two-dimensional plane waves is studied in a generalized thermoelastic medium under memory-dependent derivative in the Lord-Shulman model and the normal mode analysis is used to obtain the exact expressions for the temperature distribution, the displacement component and the thermal stress component.
Abstract: The model of two-dimensional plane
waves is studied in a generalized thermoelastic medium under memory-dependent derivative in the Lord–Shulman model. The normal mode analysis is used to obtain the exact expressions for the temperature distribution, the displacement component and the thermal stress component. The resulting formulation is applied to a concrete problem that deals with a thick plate subjected to a time-dependent heat source on each face. According to the graphical representations, corresponding to the numerical results, the effect of the different kernel has studied different thermophysical quantities at different times. Moreover, graphs are drawn to show the influence of rotation in all the thermophysical quantities. Some three-dimensional figures also are drawn for a better understanding of thermophysical quantities in the different positions of the body. As per the author’s knowledge, the effect of rotation with the memory effect is not available in the literature till now. The differences for different kernel functions are also presented at different times.
TL;DR: In this article, the theory of Heisenberg ferromagnetic model of directional velocity magnetic flows of particles with the help of the quasi-frame in ordinary space was presented, and new integrability conditions of directional velocities were derived by using quasi-vector fields.
Abstract: In this work, we first present the theory of Heisenberg ferromagnetic model of directional velocity magnetic flows of particles with the help of the quasi-frame in ordinary space. Afterward, we give new integrability conditions of directional velocity magnetic flows by using quasi-frame fields. Additionally, we derive the total phase for quasi-vector fields. Finally, we obtain new constructions for quasi-curvatures of directional velocity magnetic flows by Heisenberg ferromagnetic model.
TL;DR: In this article, a new wave behavior of the nonlinear system associated with ionic wave equations under the influence of the ponderomotive force caused by a nonlinear force experienced by a charged particle in an inhomogeneous oscillating electromagnetic field due to high-frequency field was studied.
Abstract: In this work, our main goal is to study a new wave behavior of the nonlinear system associated with ionic wave equations under the influence of the ponderomotive force caused by a nonlinear force experienced by a charged particle in an inhomogeneous oscillating electromagnetic field due to high-frequency field. Another variation in the modified exp-function method has been developed to find progressive wave solutions for the system of sound waveform equations under the pressure of Langmuir wave. The algorithm presented in this work offers new solutions for the complex redundant functions of the nonlinear system in relation to the considered model. Numerical simulations are provided to illustrate the effectiveness of proposed algorithm.
TL;DR: By applying the modification form of extended auxiliary equation mapping method, the authors investigated the solitary wave solutions of Zakharov-Kuznetsov-modified equal width dynamical equation and obtained them in the form of bright and dark solitons, periodic solitary wave, traveling wave, trigonometric functions, elliptic functions and hyperbolic functions solutions.
Abstract: By applying the modification form of extended auxiliary equation mapping method, we investigated the solitary wave solutions of Zakharov–Kuznetsov-modified equal width dynamical equation. We obtained these solitary wave solutions in the form of bright and dark solitons, periodic solitary wave, traveling wave, trigonometric functions, elliptic functions and hyperbolic functions solutions. The physical structure of these new solutions showed two and three dimensions graphically by using the computer software Mathematica. The obtained new solutions are the power and effectiveness of this new method. We can solve other nonlinear system of PDEs, which are involved in mathematical physics and other various branches of physical sciences with the help of this new method.
TL;DR: In this article, the deformation in a micropolar thermoelastic medium with dual-phase-lag theory due to rotation subjected to the thermal laser pulse was investigated and the normal mode analysis technique was used to solve the problem.
Abstract: The present investigation deals with the deformation in micropolar thermoelastic medium with dual-phase-lag theory due to rotation subjected to the thermal laser pulse. The normal mode analysis technique is used to solve the problem. The material is heated by a non-Gaussian laser beam with pulse duration of 0.02 ps. The closed-form expressions of the normal stress, the tangential stress, the couple stress, and the temperature distribution are obtained. The variation of considered variables is depicted graphically to show the effect of rotation and time. Some particular cases of interest are deduced from the present investigation.
TL;DR: In this paper, the electrical characteristics of a class of n-ladder resistor networks with external load were analyzed theoretically and methodologically, and the voltage and equivalent resistance of these networks were obtained.
Abstract: This paper addresses theoretically and methodologically the electrical characteristics (including node voltage and equivalent resistance) of a class of n-ladder resistor networks with external load. The authors establish, with node voltage as a variable, the second-order difference equation model and boundary condition equation model based on Kirchhoff’s law. They propose the general and specific methods of solution for different equations and at once obtain the voltage formula of any node in the n-ladder network with external load and the equivalent resistance formula between any two nodes as well. Special cases in the conclusion section are analyzed and discussed. In particular, they find the oscillation and resonance characteristics of the LC network under different conditions by carrying out an analysis and research into the equivalent complex impedance characteristics of the LC network.
TL;DR: In this paper, the FRW model is used to study the cosmological implications of the universe with respect to redshift, and the age of universe is predicted in f(R) gravity.
Abstract: Nojiri and Odintsov (Phys Rev D 68:123512, 2003) and Hu and Sawicki (Phys Rev D 76:064004, 2007) have studied nonlinear functions in modified gravity that explain the cosmic acceleration without cosmological constant, fulfill the conditions of local gravity and stability and pass the solar system tests. In this paper, FRW model, a best fitted and fruitful mathematical model of the physical universe (Astrophys J 82:248, 1935; Proc Natl Acad Sci 15:168, 1929; Phys Rev D 73:80, 1948; Astrophys J 142:419, 1965), is studied in the context of these nonlinear functions. The cosmological implications such as Hubble parameter, deceleration parameter, jerk parameter, matter density and the effective equation of state parameter of the universe are plotted with respect to redshift. Subsequently, the age of the universe is predicted in f(R) gravity. All are found to represent the features of present phase of the universe.
TL;DR: In this paper, an approach to design enhanced sensitivity gas sensors by using one-dimensional (1D) defect ternary photonic band gap (PBG) material structure is demonstrated.
Abstract: In this paper, an approach to design enhanced sensitivity gas sensors by using one-dimensional (1D) defect ternary photonic band gap (PBG) material structure is demonstrated. It is shown that when the 1D defect binary PBG structure gas sensors are modified to 1D defect ternary PBG structure gas sensors, the sensitivity of the sensor enhances by 100%. Thus, by converting 1D defect binary PBG structures to 1D defect ternary PBG structures enhanced sensitivity gas sensors can be fabricated.
TL;DR: In this article, the influence of thermal loading due to laser pulse on the wave propagation of generalized micropolar thermoelasticity was studied by using the normal mode analysis.
Abstract: The purpose of this paper is to introduce the Green–Naghdi theory of type III to study the influence of thermal loading due to laser pulse on the wave propagation of generalized micropolar thermoelasticity. The bounding plane surface is heated by a non-Gaussian laser beam with a pulse duration of 8 ps. The problem has been solved by using the normal mode analysis. The thermal shock problem is studied to obtain the exact expressions for the displacement components, force stresses, temperature, couple stresses and microrotation. The distributions of the considered variables are illustrated graphically. Comparisons are made with the results predicted by both types of Green–Naghdi theory for different values of time.
TL;DR: In this article, the first principle calculations for electronic and optical properties of AlSb and GaSb in the zinc blende phase using density functional theory were carried out using the full potential-linearized augmented plane wave method embedded in the WIEN2K package.
Abstract: In this article, we present the first-principles calculations for electronic and optical properties of AlSb and GaSb in the zinc blende phase using density functional theory. These calculations were carried out using the full potential-linearized augmented plane wave method embedded in WIEN2K package. Perdew–Burke–Ernzerhof and modified Becke–Johnson approximations with and without addition of spin–orbit interaction (SOI) effect were taken as exchange-correlation potentials. With SOI effect, we found that AlSb has an indirect bandgap (Г − Δmin) of 1.66 eV and GaSb has a direct bandgap (Г–Г) of 0.812 eV. These results are in good agreement with experimental data and are far better than the theoretical results published elsewhere. We also calculated the dielectric functions, refractive indexes, reflectivities, energy loss functions, optical conductivities and absorption coefficients as a function of frequency in order to investigate the optical responses of AlSb and GaSb. Also, the calculated critical point energies with SOI effect are consistent with the experimental results.
TL;DR: In this paper, an analytical approach associated with Laplace transform, experimental temperature data and a sequential concept over time was used to obtain the thermal damage and the temperature in living tissue due to laser irradiation.
Abstract: This article studies an analytical approach associated with Laplace transform, experimental temperature data and a sequential concept over time to obtain the thermal damage and the temperature in living tissue due to laser irradiation. The effects of blood perfusion and the thermal relaxation time on the temperature of skin tissues and the resulting of thermal damage are investigated. The resulting of thermal damage to the tissue is assessed by the denatured protein range using the formulation of Arrhenius. The outcomes show that the hyperbolic bioheat model is reduced to the parabolic bioheat model when the relaxation time is close to zero. The numerical outcomes of thermal injuries and temperatures are graphically introduced. In conclusion, the comparison between the numerical computations and the existing experimental study displays that a current mathematical model is an effective tool for evaluating the biological heat transfer in biological tissues.