arXiv subjects

S. K. Tiwari

Publications and source records attributed to S. K. Tiwari.

At least 19 recordsLinked to original sources

arXiv2026

Identities involving additive maps on division rings

Let $g$ be an additive map on a division ring $D$. In this paper, we study the functional identity $G_{1}(y)g(y)G_{2}(y) = H(y)$, where $G_{1}(Y), G_{2}(Y)$, $H(Y)$ are generalized polynomials in $D_{G}[Y]$ such that both $G_{1}(Y)$ and $G_{2}(Y)$ are non-zero. By application of this result and its implications, we prove that if $D$ is a non-commutative division ring with $\operatorname{char}(D) \neq 2$, then the only possible solution of additive maps $g_{1},g_{2}: D \rightarrow D$ satisfying the identity $g_{1}(y)y^{-m} + y^{n}g_{2}(y^{-1})= 0$ is $ g_{1} = g_{2} = 0$, where $m$ and $n$ are positive integers with $(m,n) \neq (1,1)$.

math.RA↗

arXiv2025

Pseudorapidity density, transverse momentum spectra, and elliptic flow studies in Xe-Xe collision systems at $\rm{\sqrt{s_{NN}} = 5.44 TeV}$ using the HYDJET++ model

In this paper, we present a systematic study of Xe--Xe collisions at $\sqrt{s_{\mathrm{NN}}} = 5.44$~TeV center-of-mass energy. We employ the Monte Carlo (hydrodynamics plus jets) HYDJET++ model to calculate the pseudorapidity distribution, transverse momentum ($p_{\mathrm{T}}$) spectra, and the elliptic flow ($v_2$) of charged hadrons with different parameters in two geometrical configurations: body-body and tip-tip types of Xe--Xe collisions. The kinematic ranges $0 < p_{\mathrm{T}} < 50~\mathrm{GeV}/c$ and $|η| < 0.8$ are considered in our study. Results are obtained for seven classes of centrality. For comparison, we have shown results from the AMPT model with the string-melting version. The results obtained for Xe--Xe collision systems for minimum bias at midrapidity match well with the experimental data from the ALICE and CMS Collaborations. We observe that the pseudorapidity density depends on the size and geometry of the colliding system. The centrality dependence of average transverse momentum ($\langle p_{\mathrm{T}} \rangle$) and average elliptic flow ($\langle v_2 \rangle$) is also observed. The charged hadron properties also show clear dependence on the geometrical configuration of the collisions. Our model results have been compared to results obtained from the AMPT model. The HYDJET++ model matches the experimental data more closely than the AMPT model, which tends to overpredict the data.

hep-ph↗

arXiv2025

Existence of primitive normal pairs over finite fields with prescribed subtrace

Given positive integers $q,n,m$ and $a\in\mathbb{F}_{q}$, where $q$ is an odd prime power and $n\geq 5$, we investigate the existence of a primitive normal pair $(ε,f(ε))$ in $\mathbb{F}_{q^{n}}$ over $\mathbb{F}_{q}$ such that $\mathrm{STr}_{q^n/q}(ε)=a$, where $f(x)=\frac{f_{1}(x)}{f_{2}(x)}\in\mathbb{F}_{q^n}(x)$ is a rational function together with deg$(f_{1})+$deg$(f_{2})=m$ and $\mathrm{STr}_{q^n/q}(ε) = \sum_{0\leq i<j\leq n-1}^{}ε^{q^i+q^j}$. Finally, we conclude that for $m=2$, $n\geq 6$ and $q=7^k$; $k\in\mathbb{N}$, such a pair will exist certainly for all $(q,n)$ except at most $11$ choices.

math.NT↗

arXiv2025

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed

Let $ξ\in\mathbb{F}_{q^m}$ be an $r$-primitive $k$-normal element over $\mathbb{F}_q$, where $q$ is a prime power and $m$ is a positive integer. The minimal polynomial of $ξ$ is referred to be the $r$-primitive $k$-normal polynomial of $ξ$ over $\mathbb{F}_q$. In this article, we study the existence of an $r$-primitive $k$-normal polynomial over $\mathbb{F}_q$ such that the last two coefficients are prescribed. In this context, first, we prove a sufficient condition which guarantees the existence of such a polynomial. Further, we compute all possible exceptional pairs $(q,m)$ in case of $3$-primitive $1$-normal polynomials for $m\geq 7$.

math.NT↗

arXiv2024

A primitive normal pair with prescribed prenorm

For any positive integers $q$, $n$, $m$ with $q$ being a prime power and $n \geq 5$, we establish a condition sufficient to ensure the existence of a primitive normal pair $(ε,f(ε))$ in $\mathbb{F}_{q^{n}}$ over $\mathbb{F}_{q}$ such that $\mathrm{PN}_{q^n/q}(ε)=a$, where $a\in\mathbb{F}_{q}$ is prescribed. Here $f={f_{1}}/{f_{2}}\in\mathbb{F}_{q^n}(x)$ is a rational function subject to some minor restrictions such that deg($f_{1}$)+deg($f_{2}$)$=m$ and $\mathrm{PN}_{q^n/q}(ε) =\sum_{i=0}^{n-1}\Bigg(\underset{j\neq i}{\underset{0\leq j\leq n-1}{\prod_{}^{}}}ε^{q^j}\Bigg)$. Finally, we conclude that for $m=3$, $n\geq 6$, and $q=7^k$ where $k\in\mathbb{N}$, such a pair will exist certainly for all $(q,n)$ except possibly $10$ choices at most.

math.NT↗

arXiv2023

Development of a pyramidal magneto-optical trap for pressure sensing application

Here, we report the development and working of a compact rubidium (Rb) atom magneto-optical trap (MOT) operated with a hollow pyramidal mirror and a single laser beam. This type of compact MOT is suitable for developing portable atom-optic devices, as it works with less number of optical components as compared to conventional MOT setup. The application of this compact MOT setup for pressure sensing has been demonstrated.

physics.atom-ph↗

arXiv2021

Ti I lines at 2.2 $μ$m as probes of the cool parts of sunspots

The sunspot umbra harbors the coolest plasma on the solar surface due to the presence of strong magnetic fields. The routinely used atomic lines to observe the photosphere have weak signals in the umbra and are often swamped by molecular lines. This makes it harder to infer the properties of the umbra, especially in the darkest regions. The lines of the Ti I multiplet at 2.2 $μ$m are formed mainly at temperatures $\le\!4500$ K and are not known to be affected by molecular blends in sunspots. Since the first systematic observations in the 1990's, these lines have been seldom observed due to the instrumental challenges involved at these longer wavelengths. We revisit these lines and investigate their formation in different solar features. We synthesize the Ti I multiplet using a snapshot from 3D MHD simulation of a sunspot and explore the properties of two of its lines in comparison with two commonly used iron lines at 630.25 nm and $1.5648\,μ$m. We find that the Ti I lines have stronger signals than the Fe I lines in both intensity and polarization in the sunspot umbra and in penumbral spines. They have little to no signal in the penumbral filaments and the quiet Sun, at $μ=1$. Their strong and well-split profiles in the dark umbra are less affected by stray light. Consequently, inside the sunspot it is easier to invert these lines and to infer the atmospheric properties, compared to the iron lines. The Cryo-NIRSP instrument at the DKIST will provide the first ever high resolution observations in this wavelength range. In this preparatory study, we demonstrate the unique temperature and magnetic sensitivities of the Ti multiplet, by probing the Sun's coolest regions which are not favourable for the formation of other commonly used spectral lines. We thus expect such observations to advance our understanding of sunspot properties.

astro-ph.SR↗

arXiv2019

Ground-based photometric survey to search for the pulsational variability in Bp, Ap, and Am stars

We present the analysis of time-series of photoelectric data of a Bp star and four new Ap stars observed photoelectrically under the Nainital-Cape survey programme. The project was started about two decades ago, aiming to search for new rapidly oscillating Ap stars. The frequency analysis of the time-series of these stars obtained on multiple nights did not reveal any pulsational variability. In addition to this, we have performed the analysis of time-series differential CCD photometry of the two pulsating Am stars HD13038 and HD13079, where we find some evidence of new periods. To expand and strengthen the ongoing survey work, we propose to build-up a tri-national collaboration of astronomers from India, South Africa and Belgium.

astro-ph.SR↗

arXiv2019

Propagation of Waves above a Plage as Observed by IRIS and SDO

Context. MHD waves are proposed to transport sufficient energy from the photosphere to heat the transition-region (TR) and corona. However, various aspects of these waves such as their nature, propagation characteristics and role in the atmospheric heating process remain poorly understood and are a matter of further investigation. Aims. We aim to investigate wave propagation within an active-region (AR) plage using IRIS and AIA observations. The main motivation is to understand the relationship between photospheric and TR oscillations. We plan to identify the locations in the plage region where magnetic flux tubes are essentially vertical, and further our understanding of the propagation and nature of these waves. Methods. We have used photospheric observations from AIA (i.e., AIA 1700 Å) as well as TR imaging observations (IRIS/SJI Si iv 1400.0 Å). We have investigated propagation of the waves into the TR from the photosphere using wavelet analysis (e.g., cross power, coherence and phase difference) with inclusion of a customized noise model. Results. Fast Fourier Transform(FFT) shows the distribution of wave power at photospheric & TR heights. Waves with periods between 2.0- and 9.0-minutes appear to be correlated between the photosphere and TR. We exploited a customized noise model to estimate 95% confidence levels for IRIS observations. On the basis of the sound speed in the TR and estimated propagation speed, these waves are best interpreted as the slow magneto acoustic waves (SMAW). It is found that almost all locations show correlation/propagation of waves over broad range of period from photosphere to TR. It suggests the wave's correlation/propagation spatial occurrence frequency is very high within the plage area.

astro-ph.SR↗

arXiv2018

Electromagnetically Induced Transparency in $Λ$-systems of $^{87}Rb$ atom in magnetic field

The electromagnetically induced transparency (EIT) observations in two $Λ$-systems of $^{87}Rb$ atom, $|5^{2}S_{1/2} F=1\rangle \rightarrow |5^{2}P_{3/2} F'=1\rangle \leftarrow |5^{2}S_{1/2} F=2\rangle$ and $|5^{2}S_{1/2} F=1\rangle \rightarrow |5^{2}P_{3/2} F'=2\rangle \leftarrow |5^{2}S_{1/2} F=2\rangle$, have been investigated in detail and the results are found consistent with our proposed theoretical models. The second $Λ$-system provides EIT signal with higher magnitude than the first system, both in absence and in presence of an applied magnetic field. The observed steeper slope of the EIT signal in presence of the magnetic field can enable one to achieve tight frequency locking of lasers using these EIT signals.

physics.atom-ph↗

arXiv2017

A study on evolution of a cold atom cloud in a time dependent radio frequency dressed potential

Using a Direct Simulation Monte Carlo technique, we have studied the time evolution of a cold atom cloud interacting with a time dependent radio frequency (rf) dressed state potential. Exposure of a cloud of $^{87}Rb$ atoms, trapped in a quadrupole magnetic trap, to a time dependent rf-field with increasing amplitude and decreasing frequency, shows a variation in the number of trapped atoms and the overall shape of the atom cloud. It is shown by simulations that, initially at lower rf-field strength, the rf-field results in ejection of atoms from the trap, leading to evaporative cooling of the atom cloud. Later, at higher rf-field strength, the atoms undergo the non-adiabatic Landau-Zener (LZ) transitions, which leads to their trapping in an rf-dressed state potential of toroidal shape. The results of simulations explain the experimentally observed results. The simulations can be useful to predict the atom cloud dynamics and trapping geometries with other forms of the potential.

physics.atom-ph↗

arXiv2017

A toroidal trap for cold $^{87}Rb$ atoms using an rf-dressed quadrupole trap

We demonstrate the trapping of cold $^{87}Rb$ atoms in a toroidal geometry using a radio frequency (rf) dressed quadrupole magnetic trap formed by superposing a strong rf-field on a quadrupole trap. This rf-dressed quadrupole trap has the minimum potential away from the quadrupole trap centre on a circular path which facilitates trapping in toroidal geometry. In these experiments, the laser cooled atoms were first trapped in a quadrupole trap, then cooled evaporatively using a weak rf-field, and finally trapped in an rf-dressed quadrupole trap. The radius of the toroid could be varied by varying the frequency of the dressing rf-field. It has also been demonstrated that a single rf source and an antenna can be used for the rf-evaporative cooling as well as for the rf-dressing of atoms. The atoms trapped in the toroidal trap may have applications in the realization of an atom gyroscope as well as in studying the quantum gases in low dimensions.

quant-ph↗

arXiv2016

Dependence of in-situ Bose condensate size on frequency of RF-field used for evaporative cooling

We report the results of in-situ characterization of $ ^{87}$Rb atom cloud in a quadrupole Ioffe configuration (QUIC) magnetic trap after radio frequency (RF) evaporative cooling of the trapped atom cloud. The in-situ absorption images of the atom cloud have shown clear bimodal optical density (OD) profiles which indicate the Bose-Einstein condensation (BEC) phase transition in the trapped gas. Also, we report the measured variation in the sizes of the condensate and thermal clouds with the final frequency in the frequency scan of the RF-field applied for evaporative cooling. The results are consistent with the theoretical understanding and predictions reported earlier.

physics.atom-ph↗

arXiv2016

$\mathcal{P}\mathcal{R}$-anti-slant warped product submanifold of a nearly paracosymplectic manifold

In this paper, we study $\mathcal{P}\mathcal{R}$-anti-slant warped product submanifold of a nearly paracosymplectic manifold $\widetilde{M}$. The necessary and sufficient condition is obtained for the distributions allied to the characterization of a $\mathcal{P}\mathcal{R}$-anti-slant submanifold being integrable and totally geodesic foliation. In addition, we have defined $\mathcal{P}\mathcal{R}$-anti-slant warped product submanifold of $\widetilde{M}$ and gave some illustrations. Finally, we extracted the constraints for a submanifold of $\widetilde{M}$ to be a $\mathcal{P}\mathcal{R}$-anti-slant warped product of the form $F\times_{f}N_λ$.

math.DG↗

arXiv2016

Solar science with the Atacama Large Millimeter/submillimeter Array - A new view of our Sun

The Atacama Large Millimeter/submillimeter Array (ALMA) is a new powerful tool for observing the Sun at high spatial, temporal, and spectral resolution. These capabilities can address a broad range of fundamental scientific questions in solar physics. The radiation observed by ALMA originates mostly from the chromosphere - a complex and dynamic region between the photosphere and corona, which plays a crucial role in the transport of energy and matter and, ultimately, the heating of the outer layers of the solar atmosphere. Based on first solar test observations, strategies for regular solar campaigns are currently being developed. State-of-the-art numerical simulations of the solar atmosphere and modeling of instrumental effects can help constrain and optimize future observing modes for ALMA. Here we present a short technical description of ALMA and an overview of past efforts and future possibilities for solar observations at submillimeter and millimeter wavelengths. In addition, selected numerical simulations and observations at other wavelengths demonstrate ALMA's scientific potential for studying the Sun for a large range of science cases.

astro-ph.SR↗

arXiv2015

Long time dynamics of a three-species food chain model with Allee effect in the top predator

The Allee effect is an important phenomenon in population biology characterized by positive density dependence, that is a positive correlation between population density and individual fitness. However, the effect is not well studied in multi-level trophic food chains. We consider a ratio dependent spatially explicit three species food chain model, where the top predator is subjected to a strong Allee effect. We show the existence of a global attractor for the the model, that is upper semicontinuous in the Allee threshold parameter $m$. To the best of our knowledge this is the first robustness result, for a spatially explicit three species food chain model with an Allee effect. Next, we numerically investigate the decay rate to a target attractor, that is when $m=0$, in terms of $m$. We find decay estimates that are $\mathcal{O}(m^γ)$, where $γ$ is found explicitly. Furthermore, we prove various overexploitation theorems for the food chain model, showing that overexploitation has to be driven by the middle predator. In particular overexploitation is not possible without an Allee effect in place. We also uncover a rich class of Turing patterns in the model which depend significantly on the Allee threshold parameter $m$. Our results have potential applications to trophic cascade control, conservation efforts in food chains, as well as Allee mediated biological control.

math.AP↗

arXiv2014

Temperature and phase-space density of cold atom cloud in a quadrupole magnetic trap

We present studies on the modifications in temperature, number density and phase-space density when a laser cooled atom cloud from the optical molasses is trapped in a quadrupole magnetic trap. Theoretically it is shown that for a given temperature and size of the cloud from the molasses, the phase-space density in the magnetic trap first increases with magnetic field gradient and then decreases with it, after attaining a maximum value at an optimum value of magnetic field gradient. The experimentally measured variation in phase-space density in the magnetic trap with the magnetic field gradient has shown the similar trend. However, the experimentally measured values of number density and phase-space density are much lower than their theoretically predicted values. This is attributed to the higher experimentally observed temperature in the magnetic trap than the theoretically predicted temperature. Nevertheless, these studies can be useful to set a higher phase-space density in the trap by setting the optimum value of field gradient of the quadrupole magnetic trap.

physics.atom-ph↗

arXiv2014

On the structure and evolution of a polar crown prominence/filament system

Polar crown prominences are made of chromospheric plasma partially circling the Suns poles between 60 and 70 degree latitude. We aim to diagnose the 3D dynamics of a polar crown prominence using high cadence EUV images from the Solar Dynamics Observatory (SDO)/AIA at 304 and 171A and the Ahead spacecraft of the Solar Terrestrial Relations Observatory (STEREO-A)/EUVI at 195A. Using time series across specific structures we compare flows across the disk in 195A with the prominence dynamics seen on the limb. The densest prominence material forms vertical columns which are separated by many tens of Mm and connected by dynamic bridges of plasma that are clearly visible in 304/171A two-color images. We also observe intermittent but repetitious flows with velocity 15 km/s in the prominence that appear to be associated with EUV bright points on the solar disk. The boundary between the prominence and the overlying cavity appears as a sharp edge. We discuss the structure of the coronal cavity seen both above and around the prominence. SDO/HMI and GONG magnetograms are used to infer the underlying magnetic topology. The evolution and structure of the prominence with respect to the magnetic field seems to agree with the filament linkage model.

astro-ph.SR↗