Various information theoretic measures, complexities and their inequalities are studied for hydrogen atom under modified Hulthen potential which is a combination of Hulthen potential and inverse square potential. In addition, spherical confinement is also considered. Few of these results are compared with the results are available in the literature. In particular the Shannon entropy for free and confined

In this paper, we propose a novel graphene-dielectric hybrid plasmonic waveguide (GDHPW). The fundamental hybrid mode characteristics guided by the GDHPW are numerically investigated. The results show ultra-small mode area (~10−4λ2) and long propagation length (tens of micrometers) can be simultaneously realized by tuning the key geometric structure parameters and the chemical potential of graphene

We calculate the contributions of weak magnetism and proton recoil of order O(Ee2∕mN2)∼10−5, i.e. to next-to-next-to-leading order in the large nucleon mass expansion, to the neutron lifetime and correlation coefficients of the neutron beta decay, where Ee and mN are the electron energy and the nucleon mass, respectively. We analyze the electron-energy and angular distribution for the neutron beta

The novel coronavirus disease or COVID-19 is still posing an alarming situation around the globe. The whole world is facing the second wave of this novel pandemic. Recently, the researchers are focused to study the complex dynamics and possible control of this global infection. Mathematical modeling is a useful tool and gains much interest in this regard. In this paper, a fractional-order transmission

We study the nonlinear dynamics of a three-dimensional Bose-Einstein condensate (BEC) excited by a vortex ring phase imprinting. We identify independent, integrated, and stationary modes of the center-of-mass oscillation of the condensate with respect to the vortex ring movement. We show that the oscillation amplitude of the center-of-mass of the condensate depends strongly on the initial radius of

In this paper we consider the stochastic Konno-Oono equation, which is forced by multiplicative noise. In order to find exact solutions of stochastic nonlinear Konno-Oono equations, generalized G′G-expansion method are implemented. Different forms of traveling wave solutions such as complex hyperbolic function and complex trigonometric function have emerged with various parameters. The results obtained

In the standard Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological model, the energy conditions provides model-independent bounds on the behavior of the distance modulus. However, this method can not provide us the detailed information about the violation between the energy conditions and the observation. In this paper, we present an extended analysis of the energy conditions based upon the entropy

Investigations on the ablation of steel and copper with femtosecond laser pulses using single pulses and bursts of infinite sequence of pulses with 1 GHz intraburst repetition rate are presented in this paper. The ablation efficiency is compared to the case of single femtosecond laser pulses. Based on the literature a model of the ablation process is presented explaining the behavior of a pulse burst

A simple method for obtaining the charge carrier density of two-dimensional (2D) materials is proposed herein. A formula is suggested for the extraction of the 2D charge carrier density using the horizontal depletion width, which is visually represented by photocurrent mapping methods. An example of this method is demonstrated using a MoS2 Schottky diode. The results suggest that this method can be

NaSn2P2 is a recently discovered superconducting system belonging to a particular class of materials with van der Waals (vdW) structure. There is enormous interest in vdW compounds because of their intriguing electrical, optical, chemical, thermal, and superconducting state properties. We have studied the pressure dependent structural, thermo-physical, electronic band structure, and superconducting

The sensitivity of the nitrogen-vacancy (NV) color centers in diamond-based magnetometers strongly depends on the number of NV centers involved in the measurement. Unfortunately, an increasing concentration of NV centers leads to a decrease in their dephasing and coherence times if the nitrogen content exceeds a certain threshold level (approximately 1017cm-3 or 0.6 ppm). Here, we demonstrate that

We report results of first-principles calculations for the structural, mechanical, dynamical and electronic properties of Scandium Carbide (ScC) compound, using a Full-Potential Linearized-Augmented Plane Wave (FP-LAPW) method based on density functional theory, within the generalized gradient approximation (GGA).The computed ground states properties; lattice constants, bulk modulus and the pressure

A Comprehensive investigation is conducted on transient magnetohydrodynamics boundary layer flow of non-Newtonian micropolar hybrid nanofluid (Fe3O4-Ag) immersed with conducting micrometer homogeneously sized dust nanoparticles within a stretching sheet adjacent to prescribed surface temperature (PST) and prescribed heat flux (PHF) cases is presented. The mathematical model is formulated then the convenient

To meet the need of aluminum melt degassing, a hollow exponential ultrasonic horn was proposed. The numerical analysis showed that the amplification factor and shape factor of the horn will increase with the increasing central hole diameter. When the hole diameter is less than 20 mm, they increase slowly while rapidly once the hole diameter excessed 35 mm. The modal analysis and experiments indicated

The present study is a numerical inspection of the natural convection with double diffusion in a tilted square cavity filled with a vertical bi-layered composed porous and an adjacent fluid. Isotropic and homogeneous porous layer is considered in this case study. The porous layer is saturated by an aqueous solution with a Prandtl number Pr = 7. The horizontal walls are considered impermeable and adiabatic

In our research article, the mathematical model of fractional non-linear cancer dynamical system with the interaction of tumor cells, immune, and drugs reaction systems is taken in ABC derivative sense of fractional order. Qualitative results including existence and uniqueness has been analyzed by applying some theorems of fixed point theory. The approximate results for the considered system are obtained

In the manuscript, fractional order neural network under electromagnetic radiation is introduced and its dynamics studied using Lyapunov exponents, stagnation points, symmetry, bifurcation diagrams etc. The dynamics for variable fractional order between 0.8 to 1 is also observed. The neural network model shows high sensitivity to external stimuli. The neural functioning shows improvement when exposed

There has been an increasing number of research and development activities focusing on the use of different glass systems for their nuclear radiation shielding features. In this study a simulation study has been carried out at a wide photon energy region in order to investigate the radiation protection feature of bismuth borate glasses. This study has been conducted to evaluate the proficiency level

Coronavirus is a pandemic that has become a concern for the whole world. This disease has stepped out to its greatest extent and is expanding day by day. Coronavirus, termed as a worldwide disease, has caused more than 8 lakh deaths worldwide. The foremost cause of the spread of coronavirus is SARS-CoV and SARS-CoV-2, which are part of the coronavirus family. Thus, predicting the patients suffering

Herein, an ultra compact plasmonics-based refractive index nanosensor is designed consisting of a metal-insulator-metal (MIM) waveguide with a silver-bar and a triangle stub, coupled with a half-ring resonator which can excite Fano resonance. The finite element method (FEM) is used to analyze the transmission spectra of the proposed design. The transmission spectra showed that there were typical Fano

Composite materials consisting of responsive microgels together with additional nanoparticles might provide new and “smart” functionality, e.g. uptake and release of nanoparticles, or special mechanical or rheological properties of a solution. Here, composites consisting of PNIPAM microgels and silica nanoparticles have been investigated by CryoTEM and neutron scattering techniques. The formation of

With the help of Mathematica symbolic calculation software, the new soliton solutions of the (2 + 1)-dimensional dissipative long wave equation were obtained by utilizing the exp(-Φ(ξ)) expansion method and the variable separation method, which include the linear soliton solution, periodic lump solution, ring soliton solution, and solitoff soliton solution. The elastic collision, soliton fission, and

Manipulation of the quantum phase transition (QPT) of the general Lipkin-Meshkov-Glick (LMG) model is studied in a well-controlled hybrid quantum system, with respect to the Bose–Einstein condensate (BEC) magnetically coupled to a quantum cantilever. The collective decay treated as a traditional adverse factor, however, plays the key role in changing the systemic symmetry, and then evokes the additional

The current article explores the new optical solutions of the conformable fractional perturbed Gerdjikov-Ivanov (pGI) equation. The tanh method and the tanh-coth method have been applied for obtaining new solitary wave solutions. As a result, many previously known results of the conformable fractional pGI equation can be recovered by applying some appropriate choices of the arbitrary functions and

A new mathematical model is formulated governing the dynamics of HCV infection. In order to study a more realistic situation, the death rates as well as contact ratio are perturbed via Gaussian white noise. Stochastic calculus is used to carry out related results. To see the efficiency of drug therapy, infected cells are divided into n different sub-compartments. Initially, it is shown that the solution

This study aims to perform multidirectional characterizations on nuclear shielding efficiencies on some bismuth-based glasses. Accordingly, the γattenuation coefficients for xBi2O3-(75-x)B2O3−25Li2O (x= 0, 10, 20, 30, 40, 50, 60 the 70 mol%) were widely evaluated using simulations and theoretical methods. Linear attenuation coefficient (LAC) of the glasses was obtained by the Monte Carlo general-purpose

The ongoing outbreak of the COVID-19 pandemic prevails as an ultimatum to the global economic growth and henceforth, all of society since neither a curing drug nor a preventing vaccine is discovered. The spread of COVID-19 is increasing day by day, imposing human lives and economy at risk. Due to the increased enormity of the number of COVID-19 cases, the role of Artificial Intelligence (AI) is imperative

A modified spiral petal-like zone plate (MSPZP) is proposed to generate the polygon-like beam with the tailorable shape, size and topological charge. The size and shape of the polygon-like beam are adjustalbe by the frequency N and the exponent m, whose product represents the number of sides of the polygon. Moreover, the size of the polygon-like beam can be also tailorable by the original radius r0

This study reflects the behaviorof nanoparticles shape on (Ag-TiO2)/water hybrid nanofluid flow toward the horizontal permeable stretching shrinking cylinder. The effect of suction and injection parameters is also considered. Three different shapes (sphere, blade, and lamina) of Ag and TiO2 are used in this study. The boundarylayer equations of the problem are transformed to a setof non-linearODEs

In this article, a predictor-corrector type non-standard finite difference scheme has been formulated to avoid unnatural chaos, and numerical instabilities depend on a long time step, lead to a better strategy for overcoming the transmission of infectious diseases. The construction, development, and analysis of our proposed numerical scheme is done for the SEIR epidemiological model regarding the transmission

In the present study, a nonlinear delayed coronavirus pandemic model is investigated in the human population. For study, we find the equilibria of susceptible-exposed-infected-quarantine-recovered model with delay term. The stability of the model is investigated using well-posedness, Routh Hurwitz criterion, Volterra Lyapunov function, and Lasalle invariance principle. The effect of the reproduction

This article focus the elimination and control of the infection caused by COVID-19. Mathematical model of the disease is formulated. With help of sensitivity analysis of the reproduction number the most sensitive parameters regarding transmission of infection are found. Consequently strategies for the control of infection are proposed. Threshold condition for global stability of the disease free state

Smokers are at more risk to COVID-19 as the entertainment of smoking because their fingers are in touch with lips regularly during smoking that increases the probability of transmission of virus from hand to mouth. On other hand the smokers may have lung disease (or reduced lung capacity) which would greatly increase risk of serious illness especially COVID-19. For this esteem, in this research work

In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3+1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which expand the solutions in previous literature. Those solutions have three forms determined according to the choice of parameters: trigonometric function form

Quantum droplets have recently emerged as a novel liquid state of matter in a mixture of two-component ultracold Bose gases under the equilibrium condition between the competing attractive inter- and repulsive intraspecies forces. Quantum droplets represent a self-bound liquid state in purely nonlinear systems and as such there is not any management applied to their study up to now. We here introduce

First-principles calculations of the electronic structure of crystalline silicon and its dioxide were performed on the basis of the density functional theory. The full-potential linearized augmented plane waves method was used with the generalized gradient approximation for the exchange-correlation potential with Perdew, Burke and Ernzerhof functional. X-ray absorption near edge structure of silicon

In this article, we study the dynamics of neutral as well as charged particle in the presence of magnetic field around Reissner-Nordström black hole surrounded by quintessence by taking into account Noether symmetries and conservation laws in the corresponding spacetime. Using these conservation laws, we explore the effect of angular momentum, quintessence parameter, and magnetic field graphically

The outburst of the pandemic Coronavirus disease since December 2019, has severely impacted the health and economy worldwide. The epidemic is spreading fast through various means, as the virus is very infectious. Medical science is exploring a vaccine, only symptomatic treatment is possible at the moment. To contain the virus, it is required to categorize the risk factors and rank those in terms of

This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method. Multi-waves solutions and exponential function solutions are successfully extracted. To share more light to the physical features of the reported results, the interaction phenomenon of these obtained solutions are demonstrated

The electronic and optical properties before and after Au decoration on (10_1_14) surface of dolomite were investigated based on first principles calculations. The electronic structure analysis indicates that the band gap decreases from 4.25 eV (pristine) to 0.81 eV(1 Au decorated case), and the work functions increase from 2.41 eV to 3.53 eV. The density of states analysis revealed that the band gap

Arbitrary amplitude dust-acoustic solitary waves in a dusty plasma in Jupiter atmosphere are expected to occur for distance greater than 15RJ, where RJ is the distance from the center of the Jupiter (RJ = 71398 km). We used the generalized hydrodynamic model for positive dust grains, Maxwellian electrons and ions those interact with solar wind protons and electrons. The energy-balance-like equation

A three-component plasma composed of nonthermal Kappa-distributed electrons, mobile ions, stationary and dust-fluctuating (spherical) dust particles is considered. By employing reductive perturbation method in a weakly nonlinear limit, the Burger’s equation has been derived and the basic properties of dust ion acoustic shock waves are analyzed. It is observed that for increasing ion–electron temperature

In this article, we develop a generator to suggest a generalization of the Gumbel type-II model known as generalized log-exponential transformation of Gumbel Type-II (GLET-GTII), which extends a more flexible model for modeling life data. Owing to basic transformation containing an extra parameter, every existing lifetime model can be made more flexible with suggested development. Some specific statistical

Mathematical modeling with nonlinear delay differential equations (DDES) impart a significant role in the different disciplines such as epidemiology, computer modeling, immunology, physiology, neural networks, social sciences, bio-medical engineering, and many more. In this manuscript, a nonlinear delayed model is investigated to study the dynamics of a virus in a computer network. Many important results

We propose in the present paper a discrete mathematical model by obtaining it from a continuous time model. We present in brief the mathematical formulation of the model using Euler-backward differences. The discrete model is then analyzed and present its mathematical results. The fundamental results for the discrete mathematical model are explored. We present the stability of the fixed points for

This paper is devoted to develop a new mathematical model for Alzheimer disease based on a system of fractional-order partial differential equations. The system of Alzheimer disease includes neurons, astrocytes, microglias and peripheral macrophages, as well as amyloid β aggregation and hyperphosphorylated tau proteins. We consider the Caputo fractional derivative definition to analyze the formulated

The vector borne diseases share a high percentage of the annual deaths reported by the world health organization. Due to the involvement of multiple factors and resistance of the vector to the treatment strategies, it is highly desired to design a safe, efficient and harmless control strategy. A state of the art computational framework for the Wolbachia induced “genetic-control-strategy” has been documented

The optical bistability based on an asymmetric dielectric Bragg reflector (DBR)–graphene–DBR (ADGD) structure is investigated numerically in terahertz frequencies. The threshold of optical bistability can be significantly reduced due to the strong enhancement of localized light field for the coupling between the Tamm states on the two sides of graphene. The threshold value of ADGD is nearly an order

This paper reports on the experimental findings of ac conductivity as determined from the measurement of conductance by using the Waynekerr 6500B impedance analyzer for the stoichiometric and non-stoichiometric manganese doped cobalt ferrite nanoparticles. In the dispersion of ac conductivity over the frequency band 100 Hz–1 MHz, two distinct conductive bands 100 Hz–1 kHz and 1 kHz–1 MHz for stoichiometric

Conventional solid-state reaction technique was used to prepare the studied samples La0.55CaxSr0.45−xMnO3 (x = 0.0, 0.1, 0.2). Their structural and magnetic properties have been investigated to find the effect of calcium doping on the D.C. and A.C. magnetic properties of the compounds. Room temperature XRD investigations confirm rhombohedral structure with space group R-3c for all the samples. Lattice

Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios. Here, we suggest some numerical techniques for solving fractional-in-time reaction-diffusion models in the sense of Caputo operator. The suggested schemes are formulated with difference scheme and Fourier-spectral algorithm. In the simulation

The aim of this study is to find new exact solutions to the coupled Maccaris system by extended rational sine-cosine and rational sinh-cosh methods. By means of these methods, we found some fresh solitons of the above mentioned equation. The solutions are expressed in the form of new periodic ,dark ,bright and bright periodic solitons solutions . These methods are efficient, powerful, and they can

After the spread of the SARS-CoV-2 epidemic out of China, evolution in the pandemic worldwide shows dramatic differences among countries. In Europe, the situation of Italy first and later Spain has generated great concen, and despite other countries show better prospects, large uncertainties yet remain on the future evolution and the efficacy of containment, mitigation, or attack strategies. This Manuscript

We discuss a fractional-order SIRD mathematical model of the COVID-19 disease in the sense of Caputo in this article. We compute the basic reproduction number through the next-generation matrix. We derive the stability results based on the basic reproduction number. We prove the results of the solution existence and uniqueness via fixed point theory. We utilize the fractional Adams–Bashforth method

Having advanced numerical techniques in solving fractional problems is always one of the apparent needs in increasing the use of these tools in real-world problems. The major part of the progress made in this area has been due to development of effective numerical methods and techniques. In this article, we study a new approach to analyze the dynamics of an eco-epidemiological through a nonlinear fractional

The first-principles calculations have been performed to predict the effect of transition-elements substitution on mechanical properties and electronic structures of B2-AlCu compounds. The results show that Zn, Cd, La and Hg are preferred to replace Al atom, while other transition elements are preferred to replace Cu atom. Among the mechanically stable AlCu-TM compounds, the resistance of axial deformation

Physical exact nonlinear new solutions for the (n+1)-dimensional Schrödinger have been obtained using RB sub-ODE and He’s semi-inverse techniques. New structures as trigonometric, rational and exponential hyperbolic solitary forms confirmed many physical phenomena’s. We deduce several types of solutions that include bright optical and dark solitons, which are very important from a physical point of

This paper deals the propagation of waves through magneto-optic waveguides which are modeled by the generalized vector nonlinear Schrodinger’s equation (NLSE). Two types of nonlinearities namely quadratic-cubic (QC) and dual-power laws are studied by implementing authentic mathematical technique called extended Fan-sub equation (EFSE) method. We secure the exact solutions in the forms of Jacobi’s elliptic