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The phenomenon of the ‘coil-stretch’ (C-S) transition, wherein a long-chain polymer initially in a coiled state undergoes a sudden configuration change to become fully stretched under steady elongational flows, has been widely recognized. This transition can display intricate hysteresis behaviours under specific critical conditions, giving rise to unique rheological characteristics in dilute polymer solutions. Historically, microscopic stochastic models and Brownian dynamics simulations have shed light on the underlying mechanisms of the transition by uncovering bistable configurations of polymer chains. Following the initial work by Cerf (J. Chem. Phys., vol. 20, 1952, pp. 395–402), we introduce a continuum model in this study to investigate the C-S transition in a constant uniaxial elongational flow. Our approach involves approximating the unfolding process of the polymer chain as an axisymmetric deformation of an elastic particle. We make the assumption that the particle possesses uniform material properties, which can be represented by a nonlinear, strain-hardening constitutive equation to replicate the finite extensibility of the polymer chain. Subsequently, we analytically solve for the steady-state deformation using a polarization method. By employing this reduced model, we effectively capture the C-S transition and establish its specific correlations with material and geometric properties. The hysteresis phenomena can be comprehended through a force-balance analysis, which involves comparing the externally applied viscous forces with the intrinsic elastic responsive forces. We demonstrate that our model, while simple, unveils rich elastohydrodynamics of the C-S transition.
Soft intertwined channel systems are frequently found in fluid flow networks in nature. The passage geometry of these systems can deform due to fluid flow, which can cause the relationship between flow rate and pressure drop to deviate from the Hagen–Poiseuille linear law. Although fluid–structure interactions in single deformable channels have been extensively studied, such as in Starling's resistor and its variations, the flow transport capacity of an intertwined channel with multiple self-intersections (a ‘hydraulic knot’), is still an open question. We present experiments and theory on soft hydraulic knots formed by interlinked microfluidic devices comprising two intersecting channels separated by a thin elastomeric membrane. Our experiments show flow–pressure relationships similar to flow limitation, where the limiting flow rate depends on the knot configuration. To explain our observations, we develop a mathematical model based on lubrication theory coupled with tension-dominated membrane deflections that compares favourably with our experimental data. Finally, we present two potential hydraulic knot applications for microfluidic flow rectification and attenuation.
Six species of freshwater turtles dominate the Chaco-Pampa Plain in southern South America and their parasites have been relatively understudied, with most records concentrated in Brazil. Particularly in Argentina, there are only scattered records of parasites for most of the turtles that inhabit the region, leaving a large knowledge gap. The purpose of the present contribution is to increase the knowledge of the internal parasites of six species of freshwater turtles from Argentina, after 15 years of fieldwork, by providing new hosts and additional geographic records for many host-parasite relationships. Some molecular sequences of the studied parasites were provided as a tool for better species identification. We processed 433 stomach and fecal samples from live individuals and visceral and soft tissue samples from 54 dissected turtles collected from a wide range and different ecoregions. We found 6230 helminths belonging to 18 taxa (one cestode, 11 digeneans and six nematodes). Fourteen new parasite-host associations are reported here, and for the first time parasites are recorded for Phrynops williamsi. This work contributes significantly to the knowledge of the parasitofauna in freshwater turtles in Argentina, providing a detailed list of parasites present in each turtle species and reporting molecular characters for future studies.
In this note, we study the Li coefficients $\lambda _{n,a}$ for the quadrilateral zeta function. Furthermore, we give an arithmetic and asymptotic formula for these coefficients. Especially, we show that for any fixed $n \in {\mathbb {N}}$, there exists $a>0$ such that $\lambda _{2n-1,a}> 0$ and $\lambda _{2n,a} < 0$.
This article explores the politics which lay behind the Presbyterian petitioning campaigns in Lancashire and Cheshire during 1646. Focusing particularly upon clerical activists, this article traces the linkages back to the petitioning campaigns of 1641-2 and highlights the continuities in both personnel and an impulse for accommodation. The article unravels the networks which stretched between London and north-western England, and investigates how Presbyterian politics in London in 1646 might have influenced the Lancashire and Cheshire campaigns for a Presbyterian settlement of the Church. Finally, the article comments upon why the Lancashire campaign succeeded when the Cheshire campaign did not.
This paper reexamines the sources used by N. Fancy and M.H. Green in “Plague and the Fall of Baghdad (1258)” (Medical History, 65/2 (2021), 157–177). Fancy and Green argued that the Arabic and Persian descriptions of the Mongol sieges in Iran and Iraq, and in particular, in the conquest of Baghdad in 1258, indicate that the besieged fortresses and cities were struck by Plague after the Mongol sieges were lifted. This, they suggested, is part of a recurrent pattern of the outbreak of Plague transmitted by the Mongol expansion across Eurasia. Fancy and Green concluded that the primary sources substantiate the theory driven by recent paleogenetic studies indicating that the Mongol conquests of the thirteenth century set the stage for the massive pandemic of the mid-fourteenth century. The link between the Plague outbreak and the Mongol siege of Baghdad relies on three near-contemporaneous historical accounts. However, our re-examination of the sources shows that the main text (in Persian) has been significantly misunderstood, and that the two other texts (in Syriac and Arabic) have been mis-contextualized, and thus not understood properly. They do not support the authors’ claim regarding Plague epidemic in Baghdad in 1258, nor do other contemporary and later Arabic texts from Syria and Egypt adduced by them, which we re-examine in detail here. We conclude that there is no evidence for the appearance of Plague during or immediately after the Mongol conquests in the Middle East, certainly not for its transmission by the Mongols.
We define a notion of substitution on colored binary trees that we call substreetution. We show that a point fixed by a substreetution may (or not) be almost periodic, and thus the closure of the orbit under the $\mathbb {F}_{2}^{+}$-action may (or not) be minimal. We study one special example: we show that it belongs to the minimal case and that the number of preimages in the minimal set increases just exponentially fast, whereas it could be expected a super-exponential growth. We also give examples of periodic trees without invariant measures on their orbit. We use our construction to get quasi-periodic colored tilings of the hyperbolic disk.
China's cattle trade before 1949 is effectively invisible to historians. With no geographic center, few dominant firms, and little government oversight, cattle trade left behind no clear archive of sources, leaving scholars to the mercy of conjecture and episodic evidence. Combining insights from business and social history, we focused our attention on trade intermediation as the key to understanding the operations of a diffuse trade system. In the absence of a top–down archive, we composited hundreds of local sources on intermediation in cattle trade and remotely interviewed 80 former brokers. These sources revealed large numbers of individuated trade routes, which we break into three types: persistent supply, specialized demand, and resource circulation. Each type of trade called for distinct forms of intermediation with relatively little overlap between specialized networks. This recreation of China's cattle trade reveals a sophisticated market for animal labor that calls into question the direct causal link between imperialist resource extraction and rural immiseration, and suggests the utility of applying tools and perspectives of social history to other sorts of decentered commercial systems.
We present the true stages machinery and illustrate its applications to descriptive set theory. We use this machinery to provide new proofs of the Hausdorff–Kuratowski and Wadge theorems on the structure of $\mathbf {\Delta }^0_\xi $, Louveau and Saint Raymond’s separation theorem, and Louveau’s separation theorem.
Focus groups have become increasingly popular in political science alongside the growth in field experimental and other causal inference-oriented work in comparative politics. Yet, scholars rarely provide details about recruitment processes and descriptive statistics on focus-group participants. This situation is problematic given the likelihood of self-selection and the fact that scholars often use focus groups to pretest or refine experimental treatments or survey questionnaires. By leveraging a series of focus groups that were recruited from a pool of large-N survey respondents, this article demonstrates a method for assessing which variables drive the decision to participate. I recommend that scholars diagnose self-selection into focus groups whenever possible; that they compare participants to relevant baselines when working with samples of convenience; and that they always provide descriptive statistics and details on how focus-group members were recruited.
We give algorithms for approximating the partition function of the ferromagnetic $q$-color Potts model on graphs of maximum degree $d$. Our primary contribution is a fully polynomial-time approximation scheme for $d$-regular graphs with an expansion condition at low temperatures (that is, bounded away from the order-disorder threshold). The expansion condition is much weaker than in previous works; for example, the expansion exhibited by the hypercube suffices. The main improvements come from a significantly sharper analysis of standard polymer models; we use extremal graph theory and applications of Karger’s algorithm to count cuts that may be of independent interest. It is #BIS-hard to approximate the partition function at low temperatures on bounded-degree graphs, so our algorithm can be seen as evidence that hard instances of #BIS are rare. We also obtain efficient algorithms in the Gibbs uniqueness region for bounded-degree graphs. While our high-temperature proof follows more standard polymer model analysis, our result holds in the largest-known range of parameters $d$ and $q$.
The debate concerning whether Aquinas changed his view on the perfection of the separated soul’s natural cognition, i.e., the cognition not elevated by God’s supernatural grace, remains to be settled. Anton Pegis has argued that according to Aquinas’s earlier view, a separated soul ‘will function perfectly as a separate substance’. However, according to Aquinas’s mature view, it ‘does not have the intellectual power to function properly as a separate substance’, so Aquinas changed his view. In contrast, John Wippel has denied that Pegis showed any radical change in Aquinas’s works on this issue. In this paper, I intend to advance this debate by arguing that, in his Commentary on Sentences IV (1252–56) d. 49, q. 1, a. 4, qc1, Aquinas expounded a view on the perfection of the separated soul’s natural cognition that is incompatible with his view in Summa Theologiae I (1265–68), q. 89, a. 1, co. I will also identify two markedly different views on the implication of the human soul-body union for the perfection of the separated soul’s cognition in these two texts. I contend that the incompatibility between the views in these two texts suggests that Aquinas changed his view.
Food system challenges exacerbate inequalities in access to fresh healthy food and threaten food security. Lack of food security, referred to as food insecurity, is associated with poorer physical and mental health outcomes and has been identified as a key challenge to address by calls for food system transformation. Increasing food production through urban agriculture, the production of fruit and vegetables in urban areas, has been identified as a potentially effective contributor to food system transformation, but the effect of this on household or UK-level food security is unclear. This paper reviews international evidence of urban agriculture’s impact on food security.
Design:
Narrative review.
Setting:
This paper reviews international evidence of urban agriculture’s impact on food security.
Participants:
Previously published international research.
Results:
Whilst findings are mixed, available evidence suggests that urban agriculture makes a modest, yet positive, contribution to food security by facilitating the availability of and access to fresh fruit and vegetables to food insecure households.
Conclusions:
Capitalising on the potential for urban agriculture to benefit food security requires government investment and support at both the national and local levels; therefore, increasing access to land for food growing, reducing costs of related resources and collaboration with existing community groups to enhance sharing of skills and expertise are identified as avenues for exploration that may help to achieve this. This review also highlights opportunities for future research in this field that may strengthen the quality of the evidence supporting urban agriculture’s impact on food security.
This study focuses on the transformational leadership-work engagement relationship by investigating resource and demand pathways for daily off-work recovery and employee wellbeing (EWB). While previous research highlighted how transformational leadership energizes employees to engage at work, energy is a finite resource requiring daily restoration for EWB. Yet, how the leader’s energizing effect relates to daily employees’ recovery remains unknown. Following job demands-resource-recovery theory, we test two pathways that relate the transformational leadership-work engagement relationship to daily employee recovery: (a) Resource-based via resource-building, (b) demand-based via increased demands. Utilizing a 10-day, two daily measurement (N = 88) study, multilevel path analyses revealed: transformational leadership predicted via work engagement (b = .17, p < .05) role clarity (b = .56, p < .01), then positive (b = .39, p < .01), and negative work-nonwork spillover (b = –.38, p < .01). Positive work-nonwork spillover predicted recovery positively (b = .25, p < .01), negative work-nonwork spillover negatively (b = –.40, p < .01). Recovery predicted EWB for positive (b = .38, p < .01) and for negative (b = –.43, p < .01) affect. Work engagement predicted workload (b = .35, p < .01), further negative (b = .33, p < .01) and positive work-nonwork spillover (b = –.16, p < .01), hampering EWB. As one pathway effect might cancel the other, the main effect of transformational leadership on EWB was not significant in the integrative model (p > .05). Results highlight dark and bright sides of the transformational leadership-work engagement relationship regarding daily recovery.
Melting icebergs provide nearly half of the total freshwater flux from ice shelves to the ocean, but the availability of accurate, data-constrained melting rate parametrisations limits the correct representation of this process in ocean models. Here, we investigate the melting of a vertical ice face in a warm, salt-stratified environment in a laboratory setting. Observations of the depth-dependent melting rates ${m}$ and boundary layer flow speed $U$ are reported for a range of initially uniform far-field ambient temperatures $T_a$ above ${10}\,^{\circ }{\rm C}$. Ice scallops are characteristic features observed in all experiments, with the width of the scallops consistent with the theory of double-diffusive layers. The morphology of the scallops changes from symmetric about the scallop centre in the colder experiments to asymmetric in the warmer experiments. Observed melting rates are consistent with a melting rate scaling of the form ${m}\propto U\,\Delta T_a$ proposed by previous work in less extreme parameter regimes, where $\Delta T_a$ is the magnitude of thermal driving between the ambient and ice–fluid interface. Our results indicate that ice scalloping is closely linked to the naturally convecting flow of the ambient fluid. Depth-averaged melting rates depend on the buoyancy frequency in the ambient fluid, and double-diffusive convection promotes a turbulent-flux regime distinct from that explained previously in an unstratified regime. These findings have implications for parametrising melting rates of icebergs and glaciers in numerical models or potential freshwater harvesting operations, and provide insights into the interplay between stratification and ice melting.