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We perform direct numerical simulations of continuously growing broadband surface waves forced by a turbulent atmospheric boundary layer coupled with a developing underwater current. We resolve and analyse the multiscale space–time evolution of the waves by considering the wave spectrum in frequency and wavenumber space and describe the kinematics of nonlinear gravity–capillary waves under a current initially described by a viscous boundary layer and transitioning to turbulence at later times under the wind-wave forcing. The wave speed experiences a scale-dependent Doppler shift, with shorter waves shifted by currents closer to the surface, in agreement with the framework from Stewart & Joy (1974 Deep Sea Res. Oceanogr. Abstracts 21(12), 1039–1049). At low wave slopes, the wave energy concentrates along the linear dispersion relation. When the wave slope is high enough, we observe wave energy located in multiple branches associated with nonlinear bound harmonics travelling at the speed of a carrier mode. These nonlinear branches are well described by a generalized nonlinear dispersion relation that links each harmonic to the effective velocity of the carrier mode to which they are bound, and are found to be Doppler shifted with the carrier mode. The generalized Doppler-shifted nonlinear dispersion relation remains valid as the underwater current becomes turbulent, and the depth-varying mean current profile can be systematically reconstructed from the measured phase velocities from waves at different scales.
This paper explores the implications of Jīva Gosvāmī’s (sixteenth century) Bhedābheda Vedānta for the contemporary philosophical debate on consciousness, thereby contributing to the broader and growing interest in the insights that Indian traditions may bring to current discussions in the philosophy of mind. More specifically, I develop here a metaphysical, coarse-grained partial reconstruction of Jīva’s thought, arguing that it can be interpreted as a distinctive form of priority cosmopsychism, which I term śakti-based Vedānta cosmopsychism. Needless to say, this involves both a terminological and a taxonomical task, as I seek to clarify how key aspects of Jīva’s thought can be articulated through the conceptual framework and vocabulary of contemporary metaphysics and philosophy of mind. In the final part of the paper, I turn to a more fine-grained analysis, examining the implications of śakti-based Vedānta cosmopsychism for central issues in the philosophy of consciousness, including the causal exclusion problem and the explanatory gap problem, here framed as the individuation problem. I also address some few objections, among them a cosmopsychist formulation of the Vedāntic problem of imperfection.
This essay examines the project Russian Style (2022–) as a “flagship” example of pro-war contemporary art in Russia. It investigates the cultural logic of Vladimir Putin’s Russia, conceptualized as Ruscism/Russism: an articulation of Russian-identitarian, nationalist, and imperialist segments of society. Linked to populist resentment and the ongoing struggle for hegemony, Ruscism/Russism operates as a mindset, geographic imagination, spatial identity, and technology. To illuminate its syncretism and its formation within—and reshaping of—the art field, this essay examines three principal sources: late-Soviet official art, nonconformist art, and Neo-Eurasianism as a transgressive subculture through case studies of Oskar Rabin, Nikolai Andronov, and Alexei Belyaev-Gintovt, leading figures in these strands. Ruscism/Russism has coalesced from the geoculturally specific, nationalist, and imperialist elements present in these sources, appropriating and intensifying them in novel ways. Methodologically, this study draws on art history, cultural criticism, and cultural geography to investigate contemporary Russia through its art and culture.
In recent years, proposals for legislatures composed of ordinary citizens have attracted renewed attention. Political theorists have advanced diverse arguments for transferring legislative powers traditionally reserved for elected officials to randomly selected citizens, appealing to fairness, equality, and protection against corruption, as well as to improved representation and collective problem-solving. Yet these arguments hinge on a contested assumption: that citizens can competently legislate and resist capture by experts or interest groups. This paper examines the 2019–2020 French Citizens’ Convention for Climate (CCC) as a proof of concept for citizen lawmaking. Drawing on firsthand observations we argue that the CCC’s design effectively transformed its 150 members into de facto legislators. We develop the concept of the “citizen-legislator,” refining Mark Warren’s (2009) notion of the “citizen-representative,” and propose criteria for evaluating the quality of citizens’ legislative outputs. Finally, we identify the normative principle “citizens on top, experts on tap” as crucial to the Convention’s ability to preserve citizen autonomy and prevent capture. The CCC, we conclude, demonstrates the feasibility of involving ordinary citizens qua legislators in more inclusive and participatory forms of democratic governance.
We investigate thermal boundary layer (BL) asymmetry in turbulent Rayleigh–Bénard convection (RBC) under both spherical and annular geometries using different BL theories. Unlike planar RBC, the spherical and annular configurations exhibit asymmetric thermal BLs near the inner and outer boundaries due to boundary curvature and non-uniform radial gravity. We generalise three BL frameworks – the Prandtl–Blasius BL model, the steady free-convective model and the fluctuating BL model – and apply them to both geometries. Direct numerical simulations (DNSs), based on the Oberbeck–Boussinesq equations, are performed in three-dimensional spherical RBC and three-dimensional annular RBC for various radius ratios ($\eta$), gravity profiles and also Prandtl numbers ($ \textit{Pr}$), to compare with the predictions of the extended BL models. We find that the BL asymmetries predicted by both the extended steady free-convective BL and the fluctuating BL agree well with DNS results, with the fluctuating BL model providing the best agreement for the mean temperature profiles. A force-balance analysis further shows that this better performance is consistent with the DNS observation that, in the wall-normal direction within the thermal BL, buoyancy is balanced primarily by the pressure-gradient force. This is consistent with the assumption underlying the steady free-convective and fluctuating BL models. Moreover, the fluctuating BL model explicitly accounts for the contribution of turbulent fluctuations to the heat flux, which further improves its agreement with the DNS mean temperature profiles. We derive analytical expressions for the bulk temperature and the thermal BL thickness ratio as functions of the radius ratio and gravity profile across different Prandtl-number regimes. These expressions are obtained by integrating the similarity thermal equation for both the inner and outer BLs using an approximate similarity streamfunction, and by closing the solutions through a heat-flux matching condition. The resulting leading-order expressions obtained from both the steady free-convective and fluctuating BL models are shown to be the same, and they agree well with DNS data. This analytical result provides a robust and practical tool for quantifying BL asymmetry in curved RBC systems.
We consider free-surface flows driven by turbulence beneath the surface, particularly the strong free-surface turbulence (FST) regime, characterised by large Froude number ${\textit {Fr}}^2_T=\varepsilon /u_{\textit{rms}} {g}\,\gtrsim 0.1$. We study the surface layer, where air and water are highly mixed and turbulence modelling is challenging. We develop a definition of the surface-layer thickness $\delta _s$ based on the vertical derivative of intermittency $\gamma$ at the mean free surface $\bar {\eta }$, which, unlike previous definitions, is independent of the tail behaviour of $\gamma$. From direct numerical simulation (DNS) of statistically stationary, horizontally homogeneous strong FST, we show that scaling by $z^* = (z-\bar {\eta })/\delta _s$ collapses $\gamma$ across a wide range of ${\textit {Fr}}^2_T\in [0.03,0.3]$. The distribution more closely follows logistic rather than Gaussian behaviour. From the near-surface turbulence obtained from DNS, we make two general observations. First, we show that for strong FST there is minimal direct effect of the free surface on the isotropy, turbulence kinetic energy $\tilde {k}$ or dissipation rate $\varepsilon$ beneath the surface layer ($z^*\lt -0.5$). Instead, turbulence is only indirectly affected through the flux of kinetic energy into the surface layer. Second, we show that many relevant metrics within the surface layer ($z^*\in [-0.5, 0.5]$) collapse when appropriately scaled by $u_{\textit{rms}}^2=2\tilde {k}/3$ and $\varepsilon$ measured at $z^*=-0.5$. These observations suggest the possibility of a turbulence closure model which avoids direct modelling of $\tilde {k}$ and $\varepsilon$ in the surface layer. Towards this, we show that, across a wide range of ${\textit {Fr}}_T^2$, surface-layer thickness can be predicted by $\delta _s \approx 11.1 \,u_{\textit{rms}}^2 {g}^{-1}$ and energy flux into the surface layer by $W \approx 0.41 \,\varepsilon \delta _s$.
From 1948 until 1967, Israel banned German language films, plays, and vocal music. Largely forgotten today, this article unravels the shifting contours of the ban—the only formal ban ever instituted by Israel on Germany—and unearths its rationales. It does so by focusing on the government agency in charge of formulating and administering the ban, the Film and Theatre Review Board. The article makes four arguments. First, the ban sought to protect the feelings of Holocaust survivors specifically, and Israeli society generally. Traumatized by the Holocaust, Israeli censors wished to remove any reminders of Germany from the public sphere. Second, the fluctuations of the ban tracked diplomatic developments with Germany and the changing sentiments in Israel toward postwar Germany. Third, the ban contributed to a discourse of national dignity and honor, bolstering the argument in favor of an independent Jewish state. Finally, the ban positioned the Board as an entity that claimed to speak for Jews, downplaying demands by Israeli Jews who wanted to consume German culture. As such, the ban should be viewed as an act of nation building and as an important component in the construction of a new Israeli identity, distinct from and independent of the diaspora Jew.
Poincaré series are of fundamental importance in the theory of modular forms. For a fixed even integer $k \ge 4$, the space of modular forms of weight k can be spanned by certain Poincaré series. We provide a criterion for a modular form to have a specified number of zeros on the unit circle in the standard fundamental domain for the action of $\mathrm {SL}(2,{\mathbb {Z}})$ on the complex upper half-plane. The criterion is given in terms of the coefficients that are obtained by writing the modular form as a linear combination of the generating Poincaré series.
This work employs structured input–output analysis (SIOA) augmented by an eddy viscosity model (SIOA-e) to investigate turbulent flows over rigid and compliant walls. The SIOA-e framework demonstrates the capability in identifying both streamwise and spanwise dominant characteristic wavelengths for rigid wall turbulence. For compliant walls, the SIOA-e method predicts optimal compliant wall parameters associated with positive damping coefficients when minimizing input–output gain for near-wall cycle and very large-scale motions, respectively. The reduction of input–output gain due to the compliant wall is achieved by wall displacement resembling blowing and suction opposite to the wall-normal velocity of dominant streamwise vortices. However, optimized compliant wall parameters based on specific wavenumber–frequency combinations may amplify flow structures for other wavenumber–frequency pairs, potentially leading to an overall drag increase. For example, compliant wall parameters tuned for suppressing large-scale structures can affect both large- and small-scale structures. We also employ input–output analysis to predict convective velocity of wall displacement and pressure for turbulent flow over the compliant wall, and the predicted convective velocity of wall displacement is 0.53 times centreline velocity, which aligns well with recent experimental measurements.
¿Cómo reconcilian los académicos del ámbito socio-jurídico, que comparan las sanciones monetarias con “sacarle sangre a un nabo” o “sacarle sangre a una piedra,” estas expresiones con el hecho de que las multas y recargos constituyen una industria en expansión? Abordamos este enigma enfocándonos en lo que tal vez sea la experiencia más común con sanciones monetarias entre la población: las multas de estacionamiento. Dado que las multas de estacionamiento se adjudican en un ámbito legal fundamentalmente distinto al de las sanciones penales – que dominan la atención académica –, nos preguntamos si estos resultados pueden extenderse más allá del ámbito penal hacia el municipal. Usando a Chicago como estudio de caso, nuestra investigación analiza los determinantes estructurales de 11.3 millones de multas emitidas entre 2013 y 2017. Aplicamos una serie de modelos de conteo para predecir las tasas de incidencia de las multas a nivel de tracto censal, así como para estimar cuántas estuvieron sujetas a sanciones por impago. Lo que encontramos evidencia disparidades racializadas en cuanto a quiénes son el objetivo de estas sanciones y quiénes resultan más perjudicados por ellas. Para interpretar estos resultados, articulamos ideas clave de la teoría crítica de la raza empírica junto con desarrollos recientes de la teoría de la depredación.
Angustothyrididae Dagys, 1972 is a key group of terebratulide brachiopods, because it exhibits characteristics bridging the two major suborders, Terebratulidina and Terebratellidina, and could represent an evolutionary link between them. However, the taxonomy of its type genus, Angustothyris Dagys, 1972, has remained poorly understood. Our restudy of specimens from the Middle Triassic of Hungary and southwestern China, including material from the type localities, reveals that the specimens previously assigned to Angustothyris actually represent multiple genera. This indicates that the diversity of this group has been underestimated, leading us to establish Balatonithyris new genus, Qianothyris new genus, and Angustothyris aszofoensis new species. The long teloform loop in Qianothyris n. gen. fills a morphological gap between short-looped terebratulidines and long-looped terebratellidines, supporting a Late Permian–Triassic origin of the terebratellidines from the Angustothyrididae. The morphological evidence, however, conflicts with molecular data that suggest an earlier divergence between the two suborders. This contradiction implies that either the Angustothyrididae is not the direct ancestor of terebratellidines, or that the terebratellidines are a polyphyletic group with multiple evolutionary origins.
We investigate the incompressible flow inside a two-dimensional square cavity, driven by the sliding motion of its four lids, all at the same speed and with facing lids moving in opposite directions. The problem has three symmetries: two mirror symmetries with respect to the diagonals and a $\pi$ rotation invariance about the centre of the cavity. The base flow, a steady state that has all three symmetries, is the unique solution at sufficiently low values of the Reynolds number ($ \textit{Re}$) and acts as a global attractor. At higher $ \textit{Re}$, it has become unstable and shares the phase space with a globally attracting space–time symmetric periodic orbit that, in addition to the rotational invariance, is also invariant under evolution over half a period followed by reflection about either of the diagonals. In between, a wealth of solution branches and intervening bifurcations mediate the transition process. In particular, a pair of steady states that break the mirror symmetries but are mirror-symmetry images of each other regulate the appearance and disappearance of a second space–time symmetric periodic orbit and a pair of asymmetric periodic orbits that are also mirror images of each other. The catalogue of instabilities includes both local (two pitchfork, two Hopf, a saddle-node and a cyclic fold) and global (two heteroclinic and one homoclinic) bifurcations. The sequence of transitions is explained in terms of a one-dimensional path through the parameter space of a codimension-four bifurcation: the double zero bifurcation with Z$_2$ symmetry and degeneracy of the third order terms.
This article analyzes three kinds of privilege—roughly, the monopoly or near-monopoly of a prized social good by a group—in terms of the political barriers facing attempts to reform them. Extending previous work, it distinguishes among discrimination privileges, which are zero-sum and relative, benefiting some groups at others’ expense; monopolized social right privileges, involving goods enjoyed only by some that can and should be extended to all; and differential treatment privileges, involving disagreement over whether a good currently monopolized by some should be extended to all or to none. The political barriers to reforming discrimination privilege involve group interest; those to reforming monopolized social rights include privilege, ignorance, cost, priorities, policy uncertainty, and the psychological wage. Differential treatment privilege is complicated. An exercise in applied political realism, this article treats normative categories as political inputs rather than philosophical conclusions and seeks to demonstrate the insights enabled by doing so.