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We have established a novel molecular kinetic model that addresses fundamental challenges in the non-equilibrium transport of nanoscale confined fluids, such as rarefaction and fluid inhomogeneities, which are crucial to a range of scientific and engineering fields. The proposed model explicitly considers fluid–solid molecular interactions in the transport equations, eliminating the reliance on predefined boundary conditions. By consistently accounting for molecular interactions between fluids and solids, the unified model captures both intrinsic and apparent non-hydrodynamic effects, as well as real fluid behaviours. Rigorous comparisons with molecular dynamics simulations demonstrate that the present model accurately predicts unique features of strongly inhomogeneous fluid flows, including fluid adsorption, solvation force, velocity slip and temperature jump. Therefore, this mesoscopic model bridges the gap between molecular-scale dynamics and macroscopic hydrodynamics, enabling a practical simulation tool for nanoscale surface-confined flows. Moreover, it offers valuable insights into the molecular mechanisms underlying anomalous transport phenomena observed in confined flows, such as the disappearance and re-emergence of the Knudsen minimum.
Large-eddy simulations have been conducted to investigate the decay law of homogeneous turbulence influenced by a magnetic field within a cubic domain, employing periodic boundary conditions. The initial integral Reynolds number is approximately 1000, while the initial interaction number $N$ ranges from 0.1–100. The results reveal that the Joule cone angle $\theta$, half of the Joule cone, decays as $\cos \theta \sim t^{-1/2}$ when $N \gg 1$. In the nonlinear stage, small-scale vortices gradually recover and restore three-dimensionality. Moreover, the corresponding critical state at small scales, marking the transition from quasi-two-dimensional structure to the onset of three-dimensionality, has been quantitatively defined. During the linear stage, based on the true magnetic damping number ($\tau _t = \rho / (\sigma {\boldsymbol{B}}^2 \cos ^2 \psi )$, where $\sigma$, $\boldsymbol{B}$ and $\psi$ denote the electrical conductivity, magnetic field and the angle between the wavevector and $\boldsymbol{B}$ in Fourier space, respectively), Moffatt’s decay law, $K \sim t^{-1/2}$, manifests at distinct times and zones in the Fourier space, with $K$ signifying turbulent kinetic energy. In the nonlinear stage, for $N \gg 1$, a $-3$ slope in the energy power spectrum is prominently observed over an extended period. The near-equivalence of the characteristic time scales of inertial and Lorentz forces in the inertial subrange suggests a quasiequilibrium state between energy transfer and Joule dissipation in Fourier space, thereby corroborating the hypothesis proposed by Alemany et al. 1979 Journal de Mecanique18(2): 277–313. Additionally, it is observed that pressure mediates energy transfer from horizontal kinetic energy ($K_{\parallel }$) to vertical kinetic energy ($K_{\bot }$), accelerating the decay of $K_{\parallel }$. Notably, concurrent inverse and direct energy transfers emerge during the decay process. Our analysis reveals that the ratio $R$ of the maximum inverse to maximum direct energy flux correlates with the dimensionality of the turbulence, following the scaling law $R\sim (\cos \theta )^{-2.2}$.
Flow over bluff bodies encounters instability at supercritical Reynolds numbers, exhibiting the periodic vortex shedding that leads to structural vibrations and acoustic noise. In this paper, a new aerodynamic shape optimisation strategy based on resolvent analysis is proposed to passively control the vortex shedding over two-dimensional cylinders. Firstly, we show that when the flow satisfies the rank-1 approximation, minimizing the maximal resolvent gain enhances flow stability. Secondly, we formulate the geometry-constrained resolvent-based optimisation problem that can be solved by the nonlinear conjugate gradient algorithm. Compared with conventional stability-based optimisation, the proposed approach is more effective as it avoids the cumbersome eigendecomposition of the high-dimensional Jacobian matrix. The efficacy of the proposed resolvent-based optimisation is validated through improving the stability of the one-dimensional Ginzburg–Landau equation. Thirdly, this approach is applied to suppress the vortex shedding of bluff bodies, initialised by a circular cylinder. Although the optimisation is performed at a subcritical state $Re = 40$, reduced vortex shedding and drag forces can be achieved at supercritical Reynolds numbers, while the critical Reynolds number is extended from $47$ to $60$. Dynamic mode decomposition is then performed to reveal that the optimised system becomes more stable and satisfies the rank-1 approximation. Finally, we demonstrate that the combined effects of the flattened surface and the Coanda effect delay flow separation, keeping the separation point nearly unchanged at supercritical Reynolds numbers (e.g. between 80 and 140) for the optimised geometry. This results in a substantial reduction in the strength of vortex shedding, which in turn leads to decreased drag forces. The optimised shape still achieves drag reduction in turbulent flows at a relatively high Reynolds number.
Thomas Paine’s and Thomas Jefferson’s writings on the relations between generations continue to attract much attention among political theorists and historians of political thought. They have been described as two of the most important theorists of the intergenerational characteristics of rights and of the significance of ascribing “sovereignty” to every generation. Jefferson’s work has often been portrayed as shaping Paine’s thinking on intergenerational obligations. This article contends that such characterizations of Paine misapprehend the development of his thought. By examining previously overlooked writings in Paine’s corpus, it becomes clear that his account of intergenerational rights and obligations was substantially different from Jefferson’s. The supposed parallels between their work obscure more than they illuminate. Indeed, the most interesting arguments Paine offered for reconceiving the capacities of each generation have thereby been neglected. These conceptual resources are worth returning to, especially given that Paine’s and Jefferson’s work on intergenerational relations is often mobilized to theorize a range of contemporary problems from constitutional interpretation to climate change.
We introduce the notion of integrable modules over $\imath $quantum groups (a.k.a. quantum symmetric pair coideal subalgebras). After determining a presentation of such modules, we prove that each integrable module over a quantum group is integrable when restricted to an $\imath $quantum group. As an application, we show that the space of matrix coefficients of all simple integrable modules over an $\imath $quantum group of finite type with specific parameters coincides with Bao-Song’s coordinate ring of the $\imath $quantum group.
We review the conservation status of two small rail species breeding in the Galápagos Islands: the endemic Galápagos Rail Laterallus spilonota and the native Paint-billed Crake Neocrex erythrops, widely distributed on the South American mainland. Using distance sampling with point counts, we estimated population sizes across islands with suitable habitat from 2015 to 2025. In 2022, we reassessed long-term trends for the Galápagos Rail on Santa Cruz Island, following the monitoring protocol used in earlier censuses (1986, 2000, 2007). We estimated the Galápagos Rail population at 32,300 pairs across seven islands, including a small, newly recorded breeding population on Pinzón and Floreana, where we rediscovered the rail in 2025. Additional breeding populations of unknown size exist in the humid zones of the two northern volcanoes of Isabela and on adjacent Fernandina. The largest population, on Santiago (22,400 pairs), has recovered remarkably over 40 years since goats and other herbivores were eradicated. We found the Galápagos Rail predominantly in the humid highlands, although a few pairs were recorded in the mangrove forests of Isabela Island. The species is absent from San Cristóbal Island. On Santa Cruz it showed a clear increase between 2007 and 2022. The Paint-billed Crake breeds on the four inhabited islands (Floreana, Isabela, San Cristóbal, and Santa Cruz), with at least 6,300 pairs. It was mainly found in grasslands and open woodlands within agricultural areas at lower altitude than the Galápagos Rail, resulting in minimal range overlap. Its population and range have expanded, especially on Santa Cruz. The significantly higher recent population estimate for the Galápagos Rail compared with past estimates, along with positive trends on at least three islands, warrants reclassifying the species IUCN Red List status from “Vulnerable” to “Near Threatened”.
We derive boundary conditions for two-dimensional parallel and non-parallel flows at the interface of a homogeneous and isotropic porous medium and an overlying fluid layer by solving a macroscopic closure problem based on the asymptotic solution to the generalised transport equations (GTE) in the interfacial region. We obtained jump boundary conditions at the effective sharp surface dividing the homogeneous fluid and porous layers for either the Darcy or the Darcy–Brinkman equations. We discuss the choice of the location of the dividing surface and propose choices which reduce the distance with the GTE solutions. We propose an ad hoc expression of the permeability distribution within the interfacial region which enables us to preserve the invariance of the fluid-side-averaged velocity profile with respect to the radius $r_0$ of the averaging volume. Solutions to the GTE, equipped with the proposed permeability distribution, compare favourably with the averaged solutions to the pore-scale simulations when the interfacial thickness $\delta$ is adjusted to $r_0$. Numerical tests for parallel and non-parallel flows using the obtained jump boundary conditions or the generalised transport equations show quantitative agreement with the GTE solutions, with experiments and pore-scale simulations. The proposed model of mass and momentum transport is predictive, requiring solely information on the bulk porosity and permeability and the location of the solid matrix of the porous medium. Our results suggest that the Brinkman corrections may be avoided if the ratio $a=\delta /\delta _B$ of the thickness $\delta$ of the interfacial region to the Brinkman penetration depth $\delta _B$ is large enough, as the Brinkman sub-layer is entirely contained within the interfacial region in that case. Our formulation has been extended to anisotropic porous media and can be easily dealt with for three-dimensional configurations.
This introduction to our special issue on ‘Constitutional Legitimacy and Amendments’ presents a framework for a more nuanced understanding of how constitutional change is contested, moving beyond the conventional notion of ‘unconstitutional’ constitutional amendments. We advocate for a clearer distinction between legality and legitimacy when analysing contestation over constitutional change, arguing that focusing exclusively on legality without addressing legitimacy risks oversimplifying constitutional debates and overlooking questions of broader political and social acceptance. We identify three grounds on which the legitimacy of a constitutional amendment may be challenged: lack of representativeness (an amendment is illegitimate if it is not representative of the will of the people); lack of justice (an amendment is illegitimate if it is unjust in a significant manner); and bad faith (an amendment is illegitimate if it is motivated by ulterior motives). We also outline three ways in which legality and legitimacy intersect: (1) legally valid amendments may still face challenges regarding their legitimacy; (2) formally illegal constitutional changes may still be perceived as legitimate; and (3) even amendments that are both legal and legitimate may still require legitimacy to be established through means other than procedural and substantive commitments to legality. By recognising that challenges to constitutional amendments often involve claims of both legality and legitimacy, our framework expands the analysis of constitutional amendments beyond claims based on constitutional identity or unamendability and contributes to a better understanding of how such amendments are contested.
We are pleased to introduce a themed collection of articles on Indigeneity, labour relations, and work. There has been a lack of Indigenous voices in academic literature on labour and workplace relations. This themed collection of ELRR amplifies Indigenous voices, knowledges, and perspectives, in labour relations and work. Indigenous researchers from across the world were encouraged to contribute to this important collection. A broad range of topics were proposed for this themed collection, which included; Indigenous justice, human rights and labour, Indigenous participation in labour markets, Indigenous labour history, Indigenous economic and employment risks, Indigenous employment equity, labour relations and public policy, Indigenous labour and unions, colonial power and labour relations, economic benefits of Indigenous labour, Indigenous employment policy and practice, discrimination, and Indigenous labour. Whilst this list was not exhaustive, the call produced a plethora of articles which will be explored below.
We study a variant of the classical Markovian logistic SIS epidemic model on a complete graph, which has the additional feature that healthy individuals can become infected without contacting an infected member of the population. This additional ‘self-infection’ is used to model situations where there is an unknown source of infection or an external disease reservoir, such as an animal carrier population. In contrast to the classical logistic SIS epidemic model, the version with self-infection has a non-degenerate stationary distribution, and we derive precise asymptotics for the time to converge to stationarity (mixing time) as the population size becomes large. It turns out that the chain exhibits the cutoff phenomenon, which is a sharp transition in time from one to zero of the total variation distance to stationarity. We obtain the exact leading constant for the cutoff time and show that the window size is of constant (optimal) order. While this result is interesting in its own right, an additional contribution of this work is that the proof illustrates a recently formalised methodology of Barbour, Brightwell and Luczak (2022), ‘Long-term concentration of measure and cut-off’, Stochastic Processes and their Applications152, 378–423, which can be used to show cutoff via a combination of concentration-of-measure inequalities for the trajectory of the chain and coupling techniques.
In this text, I interpret Hegel’s concept of the family within the context of his theory of freedom. I take family life to entail a certain tension between freedom and nature that makes it necessary to reflect on the role of nature in our understanding of the family. For this, I examine two ways of understanding the family’s relation to nature, a conservative and a liberal one, to then offer a third, dialectical way as an alternative. My central argument is that Hegel’s concept of the family can be read as a response to the problem of our entanglement with nature and is thereby an integral part of his theory of ethical life and freedom. For this, I outline the normative principle underlying Hegel’s family concept that I will call ‘the notion of a self-conscious genus-process’ (Gattungsprozess). This notion enables an immanent critique of Hegel’s concept of the family without abandoning his dialectical conception of the relationship between freedom and nature.
Global multi-stakeholder initiatives (global MSIs) have become a cornerstone of modern governance. However, critics disparage MSIs (1) for giving too much power to private actors, specifically corporations, and (2) for allowing organizations from one state to influence another’s affairs. This criticism holds true in particular for the Habermasian approach to political corporate social responsibility (political CSR). By contrast, this paper grounds global MSIs in John Rawls’s theory of justice, arguing that both legitimacy issues can be overcome when all those affected by a global MSI possess a means of contestation able to effectively contest the MSI’s activities. This entails that global MSIs, when affecting states that are unwilling or unable to protect their own citizens, must themselves provide their stakeholders with such means. It is argued that this Rawls-based approach to political CSR can rectify the shortcomings of the Habermasian approach without requiring a change in the composition of MSIs.
This paper focuses on the feature-based visual-inertial odometry (VIO) in dynamic illumination environments. While the performance of most existing feature-based VIO methods is degraded by the dynamic illumination, which leads to unstable feature association, we propose a tightly-coupled VIO algorithm termed RAFT-VINS, integrating a Lite-RAFT tracker into the visual inertial navigation system (VINS). The key module of this odometry algorithm is a lightweight optical flow network designed for accurate feature tracking with real-time operation. It guarantees robust feature association in dynamic illumination environments and thereby ensures the performance of the odometry. Besides, to further improve the accuracy of the pose estimation, a moving consistency check strategy is developed in RAFT-VINS to identify and remove the outlier feature points. Meanwhile, a tightly-coupled optimization-based framework is employed to fuse IMU and visual measurements in the sliding window for efficient and accurate pose estimation. Through comprehensive experiments in the public datasets and real-world scenarios, the proposed RAFT-VINS is validated for its capacity to provide trustable pose estimates in challenging dynamic illumination environments. Our codes are open-sourced on https://github.com/USTC-AIS-Lab/RAFT-VINS.
We examined theoretically, experimentally and numerically the origin of the acoustothermal effect using a standing surface acoustic wave-actuated sessile water droplet system. Despite a wealth of experimental studies and a few recent theoretical explorations, a profound understanding of the acoustothermal mechanism remains elusive. This study bridges the existing knowledge gap by pinpointing the fundamental causes of acoustothermal heating. Theory broadly applicable to any acoustofluidic system at arbitrary Reynolds numbers, going beyond the regular perturbation analysis, is presented. Relevant parameters responsible for the phenomenon are identified and an exact closed-form expression delineating the underlining mechanism is presented. We also examined the impact of viscosity on acoustothermal phenomena by modelling temperature profiles in sessile glycerol–water droplets, underscoring its crucial role in modulating the acoustic field and shaping the resulting acoustothermal profile. Furthermore, an analogy between the acoustothermal effect and the electromagnetic heating is drawn, thereby deepening the understanding of the acoustothermal process.
Our essay aims to offer a biography of Elena Sengal (1911–1962), an Italian citizen of Ethiopian origin, whose life offers important elements to better understand both Fascist and postwar Italy. Elena was born into an Italo-Ethiopian family and became an Italian citizen after the naturalisation of her father, Sengal Workneh, a former Italian colonial subject and a lecturer in Amharic and Tigrinya at the Istituto Orientale in Naples. She grew up in Naples where she graduated and later held a teaching position, following in her father’s footsteps. When in 1939 her partner, Guido Cucci, fell in Ethiopia fighting the Ethiopian resistance, Elena found herself alone with a newborn child and struggled to make a living. Her life did not improve with the end of Fascism. Indeed, in postwar Italy it became so unbearable that she relocated to Ethiopia. However, racism and exclusion accompanied her life in the East African country too. This biography is based on archival materials as well as a body of personal letters of Elena Sengal, kindly made available by her granddaughter Maria Elena Cucci.
Seed chemical composition and oxidation after long-term storage may affect seed longevity, seed germination and seedling normality after planting. By screening the entire USDA cultivated peanut germplasm collection for fatty acid composition, we identified the -01 inventory of accession PI 268941 with the following characteristics: (a) two distinct seed fatty acid profiles (high oleate 78.9% and normal oleate 48.19%); (b) two FAD2B genotypes (with and without a functional point mutation of 435DelT within the FAD2B gene); and (c) uniform plant morphology and seed-coat color. This inventory had been stored at −18°C within the same sealed aluminum bag for 30 years and was acquired to investigate the relationship between seed chemical composition and seed performance after planting using individual seed analysis. Our results indicated that (1) the spontaneous point-functional mutation 435T deletion of FAD2B within the accession led to the high and normal oleate seeds; (2) additional unidentified compounds observed during analysis may be due to a higher oxidation rate in normal oleate seeds than in high oleate seeds; (3) the high oleate seeds had significantly higher rates of seed germination and seedling normality than the normal oleate seeds; and (4) the seedling performance highly and significantly correlated with fatty acid composition and extra peaks. Our results suggest that high oleic acid significantly extends the viability of long-term stored peanut seeds. The information revealed in this study will be useful for germplasm preservation as well as the selection of seeds for planting and agricultural production based on seed fatty acid composition and storage length.