How fluids bend: the elastic expansion for higher-dimensional black holes

Hydrodynamics can be consistently formulated on surfaces of arbitrary co-dimension in a background space-time, providing the effective theory describing long-wavelength perturbations of black branes. When the co-dimension is non-zero, the system acquires fluid-elastic properties and constitutes what is called a fluid brane. Applying an effective action approach, the most general form of the free energy quadratic in the extrinsic curvature and extrinsic twist potential of stationary fluid brane configurations is constructed to second order in a derivative expansion. This construction generalizes the Helfrich-Canham bending energy for fluid membranes studied in theoretical biology to the case in which the fluid is rotating. It is found that stationary fluid brane configurations are characterized by a set of 3 elastic response coefficients, 3 hydrodynamic response coefficients and 1 spin response coefficient for co-dimension greater than one. Moreover, the elastic degrees of freedom present in the system are coupled to the hydrodynamic degrees of freedom. For co-dimension-1 surfaces we find a 8 independent parameter family of stationary fluid branes. It is further shown that elastic and spin corrections to (non)-extremal brane effective actions can be accounted for by a multipole expansion of the stress-energy tensor, therefore establishing a relation between the different formalisms of Carter, Capovilla-Guven and Vasilic-Vojinovic and between gravity and the effective description of stationary fluid branes. Finally, it is shown that the Young modulus found in the literature for black branes falls into the class predicted by this approach - a relation which is then used to make a proposal for the second order effective action of stationary blackfolds and to find the corrected horizon angular velocity of thin black rings.

Educational Expansion and Persistent Inequalities of Education: Utilizing the Subjective Expected Utility Theory to Explain the Increasing Participation Rates in Upper Secondary School in the Federal Republic Of Germany

This investigation attempts to answer the question why more and more parents have chosen the Gymnasium for their children's secondary school education in post‐war West Germany. Based on the theory of subjective expected utility, the crucial mechanisms of parental educational decisions have been emphasized. From this perspective it is assumed that increasing educational motivation coupled with changes in the subjective evaluation of the cost–benefit of education were important conditions for an increasing participation in upper secondary schools. These were, however, in turn, the result of educational expansion. The empirical analyses for three time‐periods in the 1960s, 1970s, and 1980s confirm these assumptions to a large degree. Additionally, empirical evidence was found to suggest that in addition to the intentions of parents and the educational career of their children, structural moments of educational expansion and their own inertia played an important role in the pupils' transition from one educational level to the next. Finally, evidence was found that persistent class‐specific educational inequality stems from a constant balance in the relative cost–benefit advantages between social classes as well as from an increasing difference of primary origin effect between social classes in the realization of their educational choice.

Cohort-specific effects of the expansion of the welfare state on job opportunities: a longitudinal analysis of three birth cohorts in the Federal Republic of Germany

Ziel der Untersuchung war es, Einflüsse auf den Arbeitsmarkt der Bundesrepublik durch das Anwachsen des Wohlfahrtsstaates zu ermitteln. Zu diesem Zweck wurden zwischen 1981 und 1983 2.171 Männer und Frauen der Geburtskohorten 1929-31, 1939-41 und 1949-51 mit standardisierten Interviews befragt zu ihrem Lebensverlauf, speziell unter den Gesichtspunkten: Soziale Herkunft, Ausbildung, Beschäftigung, Familie, Mobilität. Insbesondere interessierte die Frage nach der Beschäftigung im öffentlichen Dienst oder in der Privatwirtschaft bzw. ob und wann ein Wechsel von einem in den anderen Bereich stattgefunden hat. Einige Ergebnisse: Die Bildungsexpansion in den 70er Jahren führte dazu, daß eine steigende Anzahl von Universitätsabsolventen im öffentlichen Dienst Beschäftigung fand; seit der Stagnation des Wohlfahrtsstaates ab ca. 1980 sind die Beschäftigungschancen für hochqualifizierte Berufsanfänger dort wieder gesunken. In der Privatwirtschaft wird unqualifizierte Beschäftigung durch höher qualifizierte ersetzt, während im öffentlichen Dienst bei geringerem Arbeitsplatzangebot weniger hochqualifizierte Berufsanfänger nachgefragt werden.

Arbeitsmarktprozesse zwischen öffentlichem und privatwirtschaftlichem Sektor. Kohortenspezifische Auswirkungen der Expansion des Staates als Arbeitgeber

Mit dem vorliegenden Aufsatz untersuchen wir, wie sich die Expansion des staatlichen Sektors in den 60er und 70er Jahren auf den Arbeitsmarkt ausgewirkt hat. Wir gehen dieser Frage dabei aus der Perspektive der Berufsverläufe der aufeinander folgenden Geburtenjahrgänge 1929-31, 1939-41 und 1949-51 nach, die sich während dieses Beschäftigungsausbaus in unterschiedlichen Phasen ihrer beruflichen Karriere befunden haben. Die Grundlage der Analyse stellen dabei retrospektive Längsschnittdaten über die Erwerbsverläufe dieser Geburtskohorten dar. Wir zeigen, daß in den 60er und 70er Jahren vor allem die qualifizierten Arbeitskräfte von der staatlichen Expansion profitiert haben, die in dieser Zeit gerade in den Arbeitsmarkt eingetreten sind. Diese Geburtenjahrgänge konnten die vom staatlichen Sektor geforderten höheren formalen Qualifikationen erwerben und waren nicht, wie bereits längere Zeit in der Privatwirtschaft Beschäftigte durch berufliche und institutionelle Barrieren zwischen beiden Sektoren in ihrer Mobilität beschränkt. Die staatliche Expansion hat deswegen zu bildungs- und kohortenspezifisch höchst unterschiedlichen Chancen geführt. Im Zuge der staatlichen Personalexpansion verstärkte sich die Verbindung zwischen dem höheren Bildungssystem und den leitenden Funktionen im öffentlichen Dienst. Insbesondere der Zuwachs von Akademikern wurde in den 60er und 70er Jahren fast vollständig vom staatlichen Sektor aufgenommen. Aus den Analysen ergibt sich die Vermutung, daß von der restriktiven Personalpolitik des Staates in den 80er Jahren vor allem die jungen und qualifizierten Arbeitskräfte betroffen sein dürften.

Update as Evidence: Belief Expansion

We introduce a justification logic with a novel constructor for evidence terms, according to which the new information itself serves as evidence for believing it. We provide a sound and complete axiomatization for belief expansion and minimal change and explain how the minimality can be graded according to the strength of reasoning. We also provide an evidential analog of the Ramsey axiom.

Adaptive evolution during an ongoing range expansion: the invasive bank vole (Myodes glareolus) in Ireland

Range expansions are extremely common, but have only recently begun to attract attention in terms of their genetic consequences. As populations expand, demes at the wave front experience strong genetic drift, which is expected to reduce genetic diversity and potentially cause ‘allele surfing’, where alleles may become fixed over a wide geographical area even if their effects are deleterious. Previous simulation models show that range expansions can generate very strong selective gradients on dispersal, reproduction, competition and immunity. To investigate the effects of range expansion on genetic diversity and adaptation, we studied the population genomics of the bank vole (Myodes glareolus) in Ireland. The bank vole was likely introduced in the late 1920s and is expanding its range at a rate of ~2.5 km/year. Using genotyping-by-sequencing, we genotyped 281 bank voles at 5979 SNP loci. Fourteen sample sites were arranged in three transects running from the introduction site to the wave front of the expansion. We found significant declines in genetic diversity along all three transects. However, there was no evidence that sites at the wave front had accumulated more deleterious mutations. We looked for outlier loci with strong correlations between allele frequency and distance from the introduction site, where the direction of correlation was the same in all three transects. Amongst these outliers, we found significant enrichment for genic SNPs, suggesting the action of selection. Candidates for selection included several genes with immunological functions and several genes that could influence behaviour.

IL-21 restricts virus-driven Treg cell expansion in chronic LCMV infection

Foxp3+ regulatory T (Treg) cells are essential for the maintenance of immune homeostasis and tolerance. During viral infections, Treg cells can limit the immunopathology resulting from excessive inflammation, yet potentially inhibit effective antiviral T cell responses and promote virus persistence. We report here that the fast-replicating LCMV strain Docile triggers a massive expansion of the Treg population that directly correlates with the size of the virus inoculum and its tendency to establish a chronic, persistent infection. This Treg cell proliferation was greatly enhanced in IL-21R-/- mice and depletion of Treg cells partially rescued defective CD8+ T cell cytokine responses and improved viral clearance in some but not all organs. Notably, IL-21 inhibited Treg cell expansion in a cell intrinsic manner. Moreover, experimental augmentation of Treg cells driven by injection of IL-2/anti-IL-2 immune complexes drastically impaired the functionality of the antiviral T cell response and impeded virus clearance. As a consequence, mice became highly susceptible to chronic infection following exposure to low virus doses. These findings reveal virus-driven Treg cell proliferation as potential evasion strategy that facilitates T cell exhaustion and virus persistence. Furthermore, they suggest that besides its primary function as a direct survival signal for antiviral CD8+ T cells during chronic infections, IL-21 may also indirectly promote CD8+ T cell poly-functionality by restricting the suppressive activity of infection-induced Treg cells.