Neutrinos from type Ia supernovae: the deflagration-to-detonation transition scenario

It has long been recognized that the neutrinos detected from the next core-collapse supernova in the Galaxy have the potential to reveal important information about the dynamics of the explosion and the nucleosynthesis conditions as well as allowing us to probe the properties of the neutrino itself. The neutrinos emitted from thermonuclear - type Ia - supernovae also possess the same potential, although these supernovae are dimmer neutrino sources. For the first time, we calculate the time, energy, line of sight, and neutrino-flavor-dependent features of the neutrino signal expected from a three-dimensional delayed-detonation explosion simulation, where a deflagration-to-detonation transition triggers the complete disruption of a near-Chandrasekhar mass carbon-oxygen white dwarf. We also calculate the neutrino flavor evolution along eight lines of sight through the simulation as a function of time and energy using an exact three-flavor transformation code. We identify a characteristic spectral peak at $\sim 10$ MeV as a signature of electron captures on copper. This peak is a potentially distinguishing feature of explosion models since it reflects the nucleosynthesis conditions early in the explosion. We simulate the event rates in the Super-K, Hyper-K, JUNO, and DUNE neutrino detectors with the SNOwGLoBES event rate calculation software and also compute the IceCube signal. Hyper-K will be able to detect neutrinos from our model out to a distance of $\sim 10$ kpc. At 1 kpc, JUNO, Super-K, and DUNE would register a few events while IceCube and Hyper-K would register several tens of events.Comment: 44 pages, 29 figures & 2 tables. Updated to match Phys. Rev. D version, including a new event channel discussion and improved IceCube result

Annihilation of vortex dipoles in an Oblate Bose-Einstein Condensate

We theoretically explore the annihilation of vortex dipoles, generated when an obstacle moves through an oblate Bose-Einstein condensate, and examine the energetics of the annihilation event. We show that the gray soliton, which results from the vortex dipole annihilation, is lower in energy than the vortex dipole. We also investigate the annihilation events numerically and observe that the annihilation occurs only when the vortex dipole overtakes the obstacle and comes closer than the coherence length. Furthermore, we find that the noise reduces the probability of annihilation events. This may explain the lack of annihilation events in experimental realizations.Comment: 8 pages and 9 figure

A C-Function For Non-Supersymmetric Attractors

We present a c-function for spherically symmetric, static and asymptotically flat solutions in theories of four-dimensional gravity coupled to gauge fields and moduli. The c-function is valid for both extremal and non-extremal black holes. It monotonically decreases from infinity and in the static region acquires its minimum value at the horizon, where it equals the entropy of the black hole. Higher dimensional cases, involving $p$-form gauge fields, and other generalisations are also discussed.Comment: References adde

Bulk Entanglement Entropy and Matrices

Motivated by the Bekenstein Hawking formula and the area law behaviour of entanglement entropy, we propose that in any UV finite theory of quantum gravity with a smooth spacetime, the total entropy for a pure state in a co-dimension one spatial region, to leading order, is given by $S={A\over 4 G_N}$, where $A$ is the area of the co-dimension two boundary. In the context of $Dp$ brane holography we show that for some specially chosen regions bulk entanglement can be mapped to ``target space" entanglement in the boundary theory. Our conjecture then leads to a precise proposal for target space entanglement in the boundary theory at strong coupling and large $N$. In particular it leads to the conclusion that the target space entanglement would scale like $O(N^2)$ which is quite plausible in a system with $O(N^2)$ degrees of freedom. Recent numerical advances in studying the D0 brane system hold out the hope that this proposal can be tested in a precise way in the future.Comment: Submitted 11 March 2020 to the Peter Freund Memorial Volume. J Phys

Coercivity and stability results for an extended Navier-Stokes system

In this article we study a system of equations that is known to {\em extend} Navier-Stokes dynamics in a well-posed manner to velocity fields that are not necessarily divergence-free. Our aim is to contribute to an understanding of the role of divergence and pressure in developing energy estimates capable of controlling the nonlinear terms. We address questions of global existence and stability in bounded domains with no-slip boundary conditions. Even in two space dimensions, global existence is open in general, and remains so, primarily due to the lack of a self-contained $L^2$ energy estimate. However, through use of new $H^1$ coercivity estimates for the linear equations, we establish a number of global existence and stability results, including results for small divergence and a time-discrete scheme. We also prove global existence in 2D for any initial data, provided sufficient divergence damping is included.Comment: 29 pages, no figure

Synthesis, x-ray crystal structures and biological evaluation of some mono- and bi-cyclic 1,3-diazetidin-2-ones: non-natural β -lactam analogues

Mono- and bi-cyclic 1,3-diazetidin-2-ones (aza-β -lactams) are synthesised and evaluated as non-natural analogues of β -lactams. The aza-β -lactams are designed on the principle that their reaction with active site serine hydroxy will form a carbamoyl-enzyme intermediate that is sluggish to hydrolysis. The synthesis of racemic mono- and bi-cyclic aza-β -lactams is carried out starting from pyrimidinone 18 which is transformed to the densely functionalised substrate 20. The chemical reactivity of tricarbonyl 20 for selective functional group manipulation was first assessed and then it was transformed to amino alcohol 24. Cyclisation of 24 affords aza-carbapenams and its homologation followed by aldol cyclisation provides access to aza-carbacephams. The X-ray structures of aza-carbapenam 35 and aza-carbacepham 42 suggest that the structural requirements for biological activity in β -lactams are fulfilled. An unexpected ozonolysis product, phenol 52 resolves spontaneously during crystallisation and its crystal structure was also determined. The biological activity of the novel mono- and bi-cyclic aza-β -lactams was evaluated with potent gram-positive bacterial strain, Bacillus subtilis and compared with β -lactam antibiotics, ampicillin and penicillin G. Of the 19 aza-β -lactams tested, eight compounds show inhibition better than the standards while another eight are of comparable activity. This study shows that aza-β -lactams represent a novel and non-natural lead towards serine peptidase inhibitors

Assessment of clinical profile, antibiotic sensitivity and prescription pattern in blood culture positive enteric fever among pediatric and adult patients admitted in a tertiary care hospital: a prospective study

Background: Asterion Introduction: Enteric fever is a major concern in developing country. It is predominantly caused by serovars typhi and paratyphi of Salmonella enterica. Recently, an upsurge in antimicrobial resistant strains has worsened the management of enteric fever. So, aim of present study is to evaluate the clinical profile, antibiotic sensitivity and prescription pattern in blood culture proven cases of enteric fever in pediatric and adult patients.Methods: Single centre, prospective study was conducted at a tertiary care hospital. Demographic and clinical details of blood culture proven enteric fever admitted in hospital were collected over the period from August 2016 to November 2018.Results: Total 58 blood cultures grew Salmonella spp. , amongst them 84.48 % had growth of Salmonella typhi. Blood culture was sent after a mean period of 9 days and 10 days of fever in pediatric and adult patients respectively. All isolates of S. paratyphi A were pansusceptible, whereas 36.73 % isolates of S. typhi were multidrug resistant and nalidixic acid resistant. 68.97% patients received antibiotics before admission. The difference between mean time to defervescence in patients who received ceftriaxone and those who received more than one antibiotic was not statistically significant. (P value 0.87)Conclusion: Blood cultures are the important diagnostic tool to identify multidrug resistant Salmonellae. Study showed that combination therapy was not statistically superior and awareness of local antimicrobial susceptibility pattern significantly helps for better management of the patients