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In Couette flow, the liquid atoms adjacent to a solid substrate may have a finite average tangential velocity relative to the substrate. This so-called slip has been observed frequently. However, the particular molecular-level mechanisms that give rise to liquid slip are poorly understood. It is often assumed that liquid slip occurs by surface diffusion whereby atoms independently move from one substrate equilibrium site to another. We show that under certain conditions, liquid slip is due not to singular independent molecular motion, but to localized nonlinear waves that propagate at speeds that are orders of magnitude greater than the slip velocity at the liquid–solid interface. Using non-equilibrium molecular dynamics simulations, we find the properties of these waves and the conditions under which they are to be expected as the main progenitors of slip. We also provide a theoretical guide to the properties of these nonlinear waves by using an augmented Frenkel–Kontorova model. The new understanding provided by our results may lead to enhanced capabilities of the liquid–solid interface, for heat transfer, mixing, and surface-mediated catalysis.
We evaluated the feasibility and acceptability of frailty screening using handgrip strength with gait speed measures within four primary care-based memory clinics in Ontario. This mixed methods quality improvement initiative examined the reach, effectiveness, adoption, implementation, and maintenance of frailty screening from the perspective of patients (N = 216), care partners (N = 142), and healthcare providers (N = 9). Frailty screening was well-received by patients and care partners and perceived as quick and easy to administer and integrate into assessment processes by healthcare providers at all four memory clinics. The ease of integrating frailty screening into clinic processes was a key factor facilitating implementation; few challenges or suggestions for improvement were identified. All four clinics plan to continue frailty screening, three using the methods adopted in this study. Integrating frailty screening into memory assessments is feasible and acceptable and, given the interactional relationship between frailty and dementia, provides a significant opportunity to improve health outcomes for older adults.
This paper investigates the information that can be drawn from the Linear B tablets in Rooms 7–8 (Archives Complex) and their context, which advocate the ephemeral character of these documents. The morphological and syntactical traits of the various scribes, as well as the physical characteristics of the artifacts themselves, point to non-conventional organisation patterns. The lack of systematic arrangement at all levels of scribal production raises questions regarding the likelihood of having a storage area for tablets kept in the Archives Complex (AC) for an extended period, from several months to a year. Whether these rooms could cope with storing long term (from 2–3 months up to 1 year?) an ever-increasing number of written documents is now open to question. In all aspects, the Linear B documents and their spatially limited context present us with difficulties in accepting their categorisation as an official, archival, assemblage. Moreover, all the archaeological data point to a more temporary and slipshod corpus of tablets than previously thought.
The famous Cheng-Shen’s conjecture in Riemann-Finsler geometry claims that every n-dimensional closed W-quadratic Randers manifold is a Berwald manifold. In this paper, first we study the Riemann and Ricci curvatures of homogeneous Finsler manifolds and obtain some rigidity theorems. Then, by using this investigation, we construct a family of W-quadratic Randers metrics which are not R-quadratic nor strongly Ricci-quadratic.
The perception/action model posits distinct streams of visual processing for perception and online motor guidance. This model is apparently supported by experiments showing that visual illusions affect action tasks less than perception. In recent years, however, critics have argued against both the validity of these experiments and their support (irrespective of their validity) for the perception/action model. In this article, I reexamine this psychophysical evidence. I argue that it strongly supports the existence of distinct representations for “perception” and “action” but only moderately supports the existence of distinct systems generating those representations.
Investigations are conducted on the effect of wall proximity on the flow around a cylinder under an axial magnetic field, using the electrical potential probe technology to measure the velocity of liquid metal flow. The study focused on the impact of the inlet velocity of the fluid, the magnetic field and wall proximity on the characteristics of velocity fields, particularly on the vortex-shedding mode. Based on different magnitudes of the magnetic field and the distance from the cylinder to the duct wall, three types of vortex-shedding modes are identified, (I) shear layer oscillation state, (II) quasi-two-dimensional vortex-shedding states and (III) transition of the magnetohydrodynamic to hydrodynamic Kármán street. The transitions between these modes are analysed in detail. The experimental results show that the weak wall-proximity effect leads to the formation of the Kármán vortex street, while a reverse Kármán vortex street and secondary vortices emerge under a strong wall-proximity effect. It is noticed that the Kelvin–Helmholtz instability drives vortex shedding under regime I, leading to an increase in the Strouhal number (St) with stronger magnetic fields. Additionally, under a strong axial magnetic field, the wall-proximity effect (‘Shercliff layer effect’) promotes the instability of shear layers on both sides of the cylinder. These unique coupling effects are validated by variations in modal coefficients and energy proportions under different vortex-shedding regimes using the proper orthogonal decomposition method.
The present study aims to meta-analyze the reliability of second language (L2) reading assessments and identify the potential moderators of reliability in L2 reading comprehension tests. We examined 3,247 individual studies for possible inclusion and assessed 353 studies as eligible for the inclusion criteria. Of these, we extracted 150 Cronbach’s alpha estimates from 113 eligible studies (years 1998–2024) that reported Cronbach’s alpha coefficients properly and coded 27 potential predictors comprising of the characteristics of the study, the test, and test takers. We subsequently conducted a reliability generalization (RG) meta-analysis to compute the average reliability coefficient of L2 reading comprehension tests and identify potential moderators from 27 coded predictor variables. The RG meta-analysis found an average reliability of 0.79 (95% CI [0.78, 0.81]). The number of test items, test piloting, test takers’ educational institution, study design, and testing mode were found to respectively explain 16.76%, 5.92%, 4.91%, 2.58%, and 1.36% of variance in reliability coefficients. The implications of this study and future directions are further discussed.
We establish new results on complex and $p$-adic linear independence on a class of semiabelian varieties. As applications, we obtain transcendence results concerning complex and $p$-adic Weierstrass sigma functions associated with elliptic curves.
We prove interior boundedness and Hölder continuity for the weak solutions of nonlocal double phase equations in the Heisenberg group $\mathbb{H}^n$. This solves a problem raised by Palatucci and Piccinini et al. in 2022 and 2023 for the nonlinear integro-differential problems in Heisenberg setting. Our proof of the a priori estimates bases on De Giorgi–Nash–Moser theory, where the important ingredients are Caccioppoli-type inequality and Logarithmic estimate. To achieve this goal, we establish a new and crucial Sobolev–Poincaré type inequality in local domain, which may be of independent interest and potential applications.
This paper presents a compact and ultra-wideband high-efficiency microwave rectifier for wireless power transmission (WPT) applications. The input-matching-network utilizes a compact asymmetric coupled transmission line structure, contributing to wideband performance. The rectifier adopts a voltage-doubler topology, resulting in a smooth input impedance across a wide bandwidth. The working principle of the asymmetric coupled transmission line matching network is analyzed. Simulation and measurement are conducted on the proposed rectifier. The fabricated prototype demonstrates a wide bandwidth of 162.5% (0.3–2.9 GHz with the power conversion efficiency (PCE) exceeding 60% at an input power of 18 dBm. Even at an input power of 10 dBm, the measured PCE remains above 50% over the working band. The proposed ultra-wideband rectifier shows promising potential for WPT applications including wireless powering of low-power electronic devices and sensors.
In [CDD22], we investigated the structure of $\ast $-isomorphisms between von Neumann algebras $L(\Gamma )$ associated with graph product groups $\Gamma $ of flower-shaped graphs and property (T) wreath-like product vertex groups, as in [CIOS21]. In this follow-up, we continue the structural study of these algebras by establishing that these graph product groups $\Gamma $ are entirely recognizable from the category of all von Neumann algebras arising from an arbitrary nontrivial graph product group with infinite vertex groups. A sharper $C^*$-algebraic version of this statement is also obtained. In the process of proving these results, we also extend the main $W^*$-superrigidity result from [CIOS21] to direct products of property (T) wreath-like product groups.
The marginal ice zone represents the periphery of the sea ice cover. In this region, the macroscale behaviour of the sea ice results from collisions and enduring contact between ice floes. This configuration closely resembles that of dense granular flows, which have been modelled successfully with the $\mu (I)$ rheology. Here, we present a continuum model based on the $\mu (I)$ rheology that treats sea ice as a compressible fluid, with the local sea ice concentration given by a dilatancy function $\varPhi (I)$. We infer expressions for $\mu (I)$ and $\varPhi (I)$ by nonlinear regression using data produced with a discrete element method (DEM) that considers polygon-shaped ice floes. We do this by driving the sea ice with a one-dimensional shearing ocean current. The resulting continuum model is a nonlinear system of equations with the sea ice velocity, local concentration and pressure as unknowns. The rheology is given by the sum of a plastic term and a viscous term. In the context of a periodic patch of ocean, which is effectively a one-dimensional problem, and under steady conditions, we prove this system to be well-posed, present a numerical algorithm for solving it, and compare its solutions to those of the DEM. These comparisons demonstrate the continuum model's ability to capture most of the DEM results accurately. The continuum model is particularly accurate for ocean currents faster than 0.25 m s$^{-1}$; however, for low concentrations and slow ocean currents, the continuum model is less effective in capturing the DEM results. In the latter case, the lack of accuracy of the continuum model is found to be accompanied by the breakdown of a balance between the average shear stress and the integrated ocean drag extracted from the DEM. Since this balance is expected to hold independently of our choice of rheology, this finding indicates that continuum models might not be able to describe sea ice dynamics for low concentrations and slow ocean currents.
Nonlinear electrokinetic phenomena, where electrically driven fluid flows depend nonlinearly on the applied voltage, are commonly encountered in aqueous suspensions of colloidal particles. A prime example is the induced-charge electro-osmosis, driven by an electric field acting on diffuse charge induced near a polarizable surface. Nonlinear electrohydrodynamic flows also occur in non-polar fluids, driven by the electric field acting on space charge induced by conductivity gradients. Here, we analyse the flows about a charge-neutral spherical solid particle in an applied uniform electric field that arise from conductivity dependence on local field intensity. The flow pattern varies with particle conductivity: while the flow about a conducting particle has a quadrupolar pattern similar to induced-charge electro-osmosis, albeit with opposite direction, the flow about an insulating particle has a more complex structure. We find that this flow induces a force on a particle near an electrode that varies non-trivially with particle conductivity: while it is repulsive for perfectly insulating particles and particles more conductive than the suspending medium, there exists a range of particle conductivities where the force is attractive. The force decays as the inverse square of the distance to the electrode and thus can dominate the dielectrophoretic attraction due to the image dipole, which falls off with the fourth power with the distance. This electrohydrodynamic lift opens new possibilities for colloidal manipulation and driven assembly by electric fields.
The availability of preverbal focus in Romance is still the subject of controversy in the relevant literature. In this paper, we investigate the distribution of information focus in three Romance languages: Catalan, Spanish and Italian. The main goal is to understand if and to what extent information focus can occur preverbally in these three languages. To this end, we applied a new technique (Questions with a Delayed Answer) to elicit both production data and acceptability judgements. Our results show that preverbal foci are almost never produced in free speech under elicitation but are judged as acceptable by native speakers in rating tasks. The acceptability of preverbal foci, however, is subject to variation: they are more acceptable in Spanish but less so in Catalan and Italian. We interpret this difference across the three Romance languages in the light of the hypothesis formulated in Leonetti (2017), according to which Catalan and especially Italian are more restrictive than Spanish with respect to the mapping between syntax and information structure. While all languages resort to the dedicated word order with a more transparent information-structure partition for a focal subject (i.e. VS), Spanish is more permissive in also allowing a narrow focus interpretation of the subject in an SV order.
This study explores the perspectives of Irish Travellers, an ethnic minority group in Ireland, on the service improvements needed to implement culturally appropriate recovery approaches in mental health services.
Methods:
A community-based participatory research approach was employed. Seventeen Traveller peer researchers conducted thirteen qualitative participatory workshops and five individual interviews across Ireland. Eighty-seven adult members of the Traveller community (83% female, mean age = 33, 56.3% not in education or employment) were recruited through convenience sampling. Participatory thematic analysis was employed.
Results:
Travellers’ ideas about improvements in mental healthcare involve practitioners in creating a trusting environment, increasing representation of Travellers within mental healthcare staff and working in partnership with Traveller service users to co-produce strategies that are owned by the community. Study participants emphasised the importance of Traveller cultural awareness, strengthening trauma-informed care, and embedding an ethos of cultural humility within mainstream services. The findings indicate the need for increased collaboration between mental health service providers and non-mental health agencies, and a reorientation of care towards empowering Traveller service users to achieve their social aspirations and building a positive self-identity.
Conclusions:
This study demonstrates that implementing a recovery approach for Travellers requires a reorientation of services, in line with Travellers’ definition of culturally appropriate mental healthcare. This study calls for an expanded mandate for mental health services beyond individual care and towards intersectoral action in addressing the social determinants of Travellers’ mental health. This will help to shape an equitable and inclusive healthcare setting that promotes Travellers’ mental health and recovery.
Linear and nonlinear contributions to the localization and dynamics of internal gravity waves in a stably stratified turbulent channel flow are investigated using data from direct numerical simulations (DNS). The classification into linear and nonlinear mechanisms is based on the resolvent formulation of the Navier–Stokes equations, which interprets velocity and temperature fluctuations (flow response) as the result of a linear operator (resolvent) acting on the nonlinear advection terms (forcing). Spatial and spatio-temporal power spectral densities computed from DNS data demonstrate that the stratified flow response is localized in spectral space and in the channel core, while the nonlinear forcing is broadband and spans up to the entire channel height. The localization of the velocity and temperature fluctuations in wavenumber and frequency is captured by the leading singular value of the resolvent operator. The wall-normal localization on the other hand results from a combination of linear dynamics and nonlinear forcing, and the latter is further examined using the cross-spectral density (CSD) tensor. Wall-normal subsets of the forcing CSD lead to flow responses that reveal a three-layer structure. The middle one hosts the critical layer of the gravity wave, and is termed the outer layer since it is flanked by an inner layer at the wall and the core region at the channel centre. Forcing within this outer layer generates the majority of the flow response in the channel core. Furthermore, a decomposition of the forcing CSD into velocity and temperature demonstrates that each imprints distinct phase relations on their associated responses, which lead to destructive interference and localization of the gravity waves in the channel core.
Sweeping changes in abortion politics are underway in the Americas. Argentina, Mexico, Colombia, and Uruguay have legalized abortion in recent years, marking a sea change in the most Catholic region of the world. At the same time, several states in the United States have restricted abortion access following the US Supreme Court’s decision to overturn Roe vs. Wade, and numerous Central American countries have moved to fully criminalize the practice. Abortion is now legal in countries where it was long taboo, whereas the United States is characterized by a patchwork of laws that spans from some of the most progressive in the world to near-total bans. What explains this changing panorama in terms of reproductive rights in the Americas?