Laser-induced thermal acoustics (LITA) signals from finite beams

Laser-induced thermal acoustics (LITA) is a four-wave mixing technique that may be employed to measure sound speeds, transport properties, velocities, and susceptibilities of fluids. It is particularly effective in high-pressure gases (>1 bar). An analytical expression for LITA signals is derived by the use of linearized equations of hydrodynamics and light scattering. This analysis, which includes full finite-beam-size effects and the optoacoustic effects of thermalization and electrostriction, predicts the amplitude and the time history of narrow-band time-resolved LITA and broadband spectrally resolved (multiplex) LITA signals. The time behavior of the detected LITA signal depends significantly on the detection solid angle, with implications for the measurement of diffusivities by the use of LITA and the proper physical picture of LITA scattering. This and other elements of the physics of LITA that emerge from the analysis are discussed. Theoretical signals are compared with experimental LITA data

Asymptotic solutions of glass temperature profiles during steady optical fibre drawing

In this paper we derive realistic simplified models for the high-speed drawing of glass optical fibres via the downdraw method, that capture the fluid dynamics and heat transport in the fibre via conduction, convection and radiative heating. We exploit the small aspect ratio of the fibre and the relative orders of magnitude of the dimensionless parameters that characterize the heat transfer to reduce the problem to one- or two-dimensional systems via asymptotic analysis. The resulting equations may be readily solved numerically and in many cases admit exact analytic solutions. The systematic asymptotic breakdown presented is used to elucidate the relative importance of furnace temperature profile, convection, surface radiation and conduction in each portion of the furnace and the role of each in controlling the glass temperature.\ud \ud The models derived predict many of the qualitative features observed in the real industrial process, such as the glass temperature profile within the furnace and the sharp transition in fibre thickness. The models thus offer a desirable route to quick scenario testing, providing valuable practical information into the dependencies of the solution on the parameters and the dominant heat-transport mechanism

Rusty microglia: trainers of innate immunity in Alzheimer's disease

Alzheimer's disease, the most common form of dementia, is marked by progressive cognitive and functional impairment believed to reflect synaptic and neuronal loss. Recent preclinical data suggests that lipopolysaccharide (LPS)-activated microglia may contribute to the elimination of viable neurons and synapses by promoting a neurotoxic astrocytic phenotype, defined as A1. The innate immune cells, including microglia and astrocytes, can either facilitate or inhibit neuroinflammation in response to peripherally applied inflammatory stimuli, such as LPS. Depending on previous antigen encounters, these cells can assume activated (trained) or silenced (tolerized) phenotypes, augmenting or lowering inflammation. Iron, reactive oxygen species (ROS), and LPS, the cell wall component of gram-negative bacteria, are microglial activators, but only the latter can trigger immune tolerization. In Alzheimer's disease, tolerization may be impaired as elevated LPS levels, reported in this condition, fail to lower neuroinflammation. Iron is closely linked to immunity as it plays a key role in immune cells proliferation and maturation, but it is also indispensable to pathogens andmalignancies which compete for its capture. Danger signals, including LPS, induce intracellular iron sequestration in innate immune cells to withhold it from pathogens. However, excess cytosolic iron increases the risk of inflammasomes' activation, microglial training and neuroinflammation. Moreover, it was suggested that free iron can awaken the dormant central nervous system (CNS) LPS-shedding microbes, engendering prolonged neuroinflammation that may override immune tolerization, triggering autoimmunity. In this review, we focus on iron-related innate immune pathology in Alzheimer's disease and discuss potential immunotherapeutic agents for microglial de-escalation along with possible delivery vehicles for these compounds

The Accuracy of Perturbative Master Equations

We consider open quantum systems with dynamics described by master equations that have perturbative expansions in the system-environment interaction. We show that, contrary to intuition, full-time solutions of order-2n accuracy require an order-(2n+2) master equation. We give two examples of such inaccuracies in the solutions to an order-2n master equation: order-2n inaccuracies in the steady state of the system and order-2n positivity violations, and we show how these arise in a specific example for which exact solutions are available. This result has a wide-ranging impact on the validity of coupling (or friction) sensitive results derived from second-order convolutionless, Nakajima-Zwanzig, Redfield, and Born-Markov master equations.Comment: 6 pages, 0 figures; v2 updated references; v3 updated references, extension to full-time and nonlocal regime

A Mathematical Analysis of the Wind Triangle Problem and an Inquiry of True Airspeed Calculations in Supersonic Flight

In the first half of this paper, we present a fresh perspective toward the Wind Triangle Problem in aerial navigation by deriving necessary and sufficient conditions, which we call go/no-go conditions , for the existence/non-existence of a solution of the problem. Although our derivation is based on simple trigonometry and basic properties of quadratic functions, it is mathematically rigorous. We also offer examples to demonstrate how easy it is to check these conditions graphically. In the second half of this paper, we use function theory to re-examine another problem in aerial navigation, namely, that of computing true airspeed — even in supersonic flight — from only three instrument readings obtainable from a basic flight instrument panel: calibrated airspeed, pressure altitude, and total air temperature. We present the first known mathematically rigorous analysis of the use of fixed-point iteration to compute true airspeed and Mach number from the Rayleigh Supersonic Pitot Equation. Our analysis comes with error estimates that are not found anywhere in the literature

Conversations About Academic Success: Developing Supportive Context for High-Achieving Black Students

The racial academic achievement gap in America’s public schools persists and there is solid research explaining the elements that have led to and support it. Much of this research is deficit-based and highlights the vulnerabilities of those who fall at the bottom of that gap. Not enough research is invested in celebrating, highlighting, or exploring the experiences of the Black students who perform well academically. This article represents research designed to provide a strengths-based, anti-racist view of a marginalized portion of America’s public-school students. The goal of this study was to uncover the common factors that contribute to academic success for Black students who attend public schools in the suburbs surrounding the south Chicagoland area. The findings indicate that self-efficacy, school counselors, and resilience, among other factors, are characteristics held in common by the participants of this study. The practices and conditions highlighted help these students overcome the challenges of over a century of institutionalized racism and decades of factors that contribute to the racial academic gap between Black and White children who attend American public schools

Dynamics of Atom-Field Entanglement from Exact Solutions: Towards Strong Coupling and Non-Markovian Regimes

We examine the dynamics of bipartite entanglement between a two-level atom and the electromagnetic field. We treat the Jaynes-Cummings model with a single field mode and examine in detail the exact time evolution of entanglement, including cases where the atomic state is initially mixed and the atomic transition is detuned from resonance. We then explore the effects of other nearby modes by calculating the exact time evolution of entanglement in more complex systems with two, three, and five field modes. For these cases we can obtain exact solutions which include the strong coupling regimes. Finally, we consider the entanglement of a two-level atom with the infinite collection of modes present in the intracavity field of a Fabre-Perot cavity. In contrast to the usual treatment of atom-field interactions with a continuum of modes using the Born-Markov approximation, our treatment in all cases describes the full non-Markovian dynamics of the atomic subsystem. Only when an analytic expression for the infinite mode case is desired do we need to make a weak coupling assumption which at long times approximates Markovian dynamics.Comment: 12 pages, 5 figures; minor changes in grammar, wording, and formatting. One unnecessary figure removed. Figure number revised (no longer counts subfigures separately

Note on the hydrodynamic description of thin nematic films: strong anchoring model

We discuss the long-wave hydrodynamic model for a thin film of nematic liquid crystal in the limit of strong anchoring at the free surface and at the substrate. We rigorously clarify how the elastic energy enters the evolution equation for the film thickness in order to provide a solid basis for further investigation: several conflicting models exist in the literature that predict qualitatively different behaviour. We consolidate the various approaches and show that the long-wave model derived through an asymptotic expansion of the full nemato-hydrodynamic equations with consistent boundary conditions agrees with the model one obtains by employing a thermodynamically motivated gradient dynamics formulation based on an underlying free energy functional. As a result, we find that in the case of strong anchoring the elastic distortion energy is always stabilising. To support the discussion in the main part of the paper, an appendix gives the full derivation of the evolution equation for the film thickness via asymptotic expansion

Extending HIV Prevention: People Living With HIV/AIDS (PLWHA) Strategize to Reduce Stigma and Promote HIV Testing

Strategies to reduce acquired immunodeficiency syndrome (AIDS)‐related stigma are paramount to promoting effective HIV prevention. As in the case of HIV antibody testing, despite the benefits of early detection, links to care, and risk behavior modification, nearly 250,000 people are unaware of their HIV status. AIDS‐related stigma has impeded such efforts due to discrimination, ignorance and other forms of stigma. These issues related to stigma and HIV testing are magnified when placed in the context of the rural Deep South region of the United States, where the incidence of HIV/AIDS are growing at alarming rates. The purpose of this paper was to examine strategies to reduce AIDS‐related stigma that in turn promotes HIV testing as proposed by people living with HIV/AIDS (PLWHA) who reside in the Deep South. An exploratory descriptive qualitative research design was utilized. The sample consisted of 18 PLWHA. Data was collected using a focus group and individual, semi‐structured interviews. The analysis revealed the importance of ongoing education as a mediator between reducing stigma and promoting HIV testing. Other salient findings were related to reframing HIV/AIDS‐related health messages to reflect a sense of empowerment; the need to normalize testing; the use of less stigmatizing testing sites; and the continuance of anonymous HIV testing. This article is significant because it illuminates the challenges of HIV prevention in the Deep South, while also generating culturally‐sensitive strategies to counter these barriers