arXiv subjects

Deepak

Publications and source records attributed to Deepak.

23 records · Page 2Linked to original sources

arXiv2019

Study of Lithium Rich Giants with the GALAH Spectroscopic Survey

In this article, we speculate on the possible mechanisms for Li enhancement origin in RGB stars based on a large data set of around 340,299 stars collected from the GALAH survey combined with the Gaia astrometry. Data has 51,982 low mass (M$\leq$ 2M$_{\odot}$) RGB stars with reliable atmospheric parameters. The data set shows a well populated RGB with well-defined luminosity bump and red clump with significant number of stars at each of these two key phases. We found 335 new Li-rich RGB stars with Li abundance, A(Li) $\geq$ 1.80 $\pm$ 0.14 dex, of which 20 are super Li-rich with A(Li) $\geq$ 3.20~dex. Most of them appear to be in the red clump region which, when combined with stellar evolutionary timescales on RGB, indicates that the Li enhancement origin may lie at RGB tip during He-flash rather than by external source of merging of sub-stellar objects or during luminosity bump evolution. Kinematic properties of sample stars suggest that Li-rich giants are relatively more prevalent among giants of thin disk compared to thick disk and halo.

astro-ph.SR↗

arXiv2018

Non-isomorphic Signatures on Some Generalised Petersen Graph

In this paper we find the number of different signatures of $P(3,1), P(5,1)$ and $P(7,1)$ upto switching isomorphism, where $P(n, k)$ denotes the generalised Petersen graph, $2k < n$. We also count the number of non-isomorphic signatures on $P(2n+1,1)$ of size two for all $n \geq 1$, and we conjecture that any signature of $P(2n+1,1)$, upto switching, is of size at most $n+1$.

math.CO↗

arXiv2018

Signed Chromatic Polynomials of Signed Book Graphs

In 2015, Matthias Beck and his team developed a computer program in SAGE which efficiently determines the number of signed proper $k$-colorings for a given signed graph. In this article, we determine the number of different signatures on Book graph up to switching isomorphisms. We also find a recursive formula of the signed chromatic polynomials of signed Book graphs.

math.CO↗

arXiv2018

Radial velocity comparison of Gaia DR2 and RAVE DR5 survey: a systematic offset in radial velocities among a group of highly accurate radial velocity stars

Here, we report comparative study of radial velocity ($\rm RV$) data of two major surveys: Gaia Data Release 2 and RAVE Data Release 5. We restricted the sample to stars with relatively accurate radial velocities ($σ_{\rm RV_{Gaia}} \leq$ 2 km s$^{-1}$ or $\leq$ 2%, and $σ_{\rm RV_{RAVE}}\leq$ 2 km s$^{-1}$ or $\leq$ 2%). The difference between $\rm RV_{Gaia}$ and $\rm RV_{RAVE}$ for a majority of the sample follows normal distribution with mean = 0.28 km s$^{-1}$ and $σ$ = 1.49 km s$^{-1}$. However, we found a very small group of stars ($\approx 0.08\%$ of the total) for which the difference in radial velocities between the two surveys is significantly larger with an offset of $-$104.50 km s$^{-1}$ with $σ$ = 4.92 km s$^{-1}$. Kinematics based on $\rm RV_{ Gaia }$ suggest that most of the group members belong to the Galactic thin disk which agrees with the group's metallicity range of $-$1.2 to $+$0.5 dex suggesting the offset in radial velocity is probably due to RAVE velocity data for this particular group.

astro-ph.SR↗

arXiv2016

Can the structure of amorphous indium gallium zinc oxide be described in terms of a few polyhedral motifs?

The coordination polyhedra around the cations are the building blocks of ionic solids. In context of amorphous InGaZn oxide (a-IGZO), even though the coordination polyhedra are irregularly arranged, it will be beneficial to identify them. In this work, we address the questions, (a) is it possible to classify all the polyhedra that occur in a-IGZO into only a few distinct groups? and (b) are these the same polyhedral motifs as those observed in the crystalline indium gallium zinc oxide (c-IGZO) or other related crystalline oxides of indium, gallium and zinc? Therefore, in this first principles based study, a large number (ten) of equivalent samples of a-IGZO were prepared by ab initio melt-and-quench molecular dynamics, so that several distinct samples of the amorphous landscape are obtained. The combination of all these structures thus obtained is a better representation of a real a-IGZO sample. For the ten samples containing 360 cations, we propose a simpler and more accurate method for determining the coordination number of each polyhedron, which was verified by charge density plots. Based on a method of comparing bond angles between metal and oxygen atoms, the identified polyhedra were matched to the polyhedral motifs present in the related crystalline systems, such as, InGaZnO4, In2O3, Ga2O3 and ZnO. We find, the a-IGZO primarily consists of the following polyhedra: a tetrahedron from space group 199 and an octahedron from space group 206 of In2O3; a tetrahedron from space group 12 and an octahedron from space group 167 of Ga2O3; a tetrahedron from space group 186 of ZnO; zinc and gallium trigonal bipyramids from c-IGZO; and one zinc 4-fold, one zinc 5-fold and one indium 5-fold coordination polyhedra that occur only in the amorphous phase. We are able to reduce the description of structure from 360 to 10 groups of polyhedra. The benefits of this identification could be enormous.

cond-mat.mtrl-sci↗