Structure-function hierarchies and von Karman-Howarth relations for turbulence in magnetohydrodynamical equations

We generalize the method of A. M. Polyakov, Phys. Rev. E 52, 6183 (1995)] for obtaining structure-function relations in turbulence in the stochastically forced Burgers equation, to develop structure-function hierarchies for turbulence in three models for magnetohydrodynamics (MHD). These are the Burgers analogs of MHD in one dimension Eur. Phys. J.B 9, 725 (1999)], and in three dimensions (3DMHD and 3D Hall MHD). Our study provides a convenient and unified scheme for the development of structure-function hierarchies for turbulence in a variety of coupled hydrodynamical equations. For turbulence in the three sets of MHD equations mentioned above, we obtain exact relations for third-order structure functions and their derivatives; these expressions are the analogs of the von Karman-Howarth relations for fluid turbulence. We compare our work with earlier studies of such relations in 3DMHD and 3D Hall MHD.

Free turbulent shear layer in a point vortex gas as a problem in nonequilibrium statistical mechanics

This paper attempts to unravel any relations that may exist between turbulent shear flows and statistical mechanics through a detailed numerical investigation in the simplest case where both can be well defined. The flow considered for the purpose is the two-dimensional (2D) temporal free shear layer with a velocity difference Delta U across it, statistically homogeneous in the streamwise direction (x) and evolving from a plane vortex sheet in the direction normal to it (y) in a periodic-in-x domain L x +/-infinity. Extensive computer simulations of the flow are carried out through appropriate initial-value problems for a ``vortex gas'' comprising N point vortices of the same strength (gamma = L Delta U/N) and sign. Such a vortex gas is known to provide weak solutions of the Euler equation. More than ten different initial-condition classes are investigated using simulations involving up to 32 000 vortices, with ensemble averages evaluated over up to 10(3) realizations and integration over 10(4)L/Delta U. The temporal evolution of such a system is found to exhibit three distinct regimes. In Regime I the evolution is strongly influenced by the initial condition, sometimes lasting a significant fraction of L/Delta U. Regime III is a long-time domain-dependent evolution towards a statistically stationary state, via ``violent'' and ``slow'' relaxations P.-H. Chavanis, Physica A 391, 3657 (2012)], over flow time scales of order 10(2) and 10(4)L/Delta U, respectively (for N = 400). The final state involves a single structure that stochastically samples the domain, possibly constituting a ``relative equilibrium.'' The vortex distribution within the structure follows a nonisotropic truncated form of the Lundgren-Pointin (L-P) equilibrium distribution (with negatively high temperatures; L-P parameter lambda close to -1). The central finding is that, in the intermediate Regime II, the spreading rate of the layer is universal over the wide range of cases considered here. The value (in terms of momentum thickness) is 0.0166 +/- 0.0002 times Delta U. Regime II, extensively studied in the turbulent shear flow literature as a self-similar ``equilibrium'' state, is, however, a part of the rapid nonequilibrium evolution of the vortex-gas system, which we term ``explosive'' as it lasts less than one L/Delta U. Regime II also exhibits significant values of N-independent two-vortex correlations, indicating that current kinetic theories that neglect correlations or consider them as O(1/N) cannot describe this regime. The evolution of the layer thickness in present simulations in Regimes I and II agree with the experimental observations of spatially evolving (3D Navier-Stokes) shear layers. Further, the vorticity-stream-function relations in Regime III are close to those computed in 2D Navier-Stokes temporal shear layers J. Sommeria, C. Staquet, and R. Robert, J. Fluid Mech. 233, 661 (1991)]. These findings suggest the dominance of what may be called the Kelvin-Biot-Savart mechanism in determining the growth of the free shear layer through large-scale momentum and vorticity dispersal.

Size Effects in Micro-bending Deformation of MEMS Devices Based on the Discrete Dislocation Theory

In the present research, the discrete dislocation theory is used to analyze the size effect phenomena for the MEMS devices undergoing micro-bending load. A consistent result with the experimental one in literature is obtained. In order to check the effectiveness to use the discrete dislocation theory in predicting the size effect, both the basic version theory and the updated one are adopted simultaneously. The normalized stress-strain relations of the material are obtained for different plate thickness or for different obstacle density. The prediction results are compared with experimental results.

The double bind for non-traditional families in post-primary settings; to tell or not to tell their family identity

This thesis involved researching normative family discourses which are mediated through educational settings. The traditional family, consisting of father, mother and children all living together in one house is no longer reflective of the home situation of many Irish students (Lunn and Fahey, 2011). My study problematizes the dominant discourses which reflect how family differences are managed and recognised in schools. A framework using Foucauldian post structural critical analysis traces family stratification through the organisation of institutional and interpersonal relations at micro level in four post-primary schools. Standardising procedures such as the suppression of intimate relations between and among teacher and student, as well as the linear ordering of intergenerational relations, such as teacher/student and adult/child are critiqued. Normalising discourses operate in practices such as notes home which presume two parents together. Teacher assumptions about heterosexual two-parent families make it difficult for students to be open about a family setup that is constructed as different to the rest of the schools'. The management of family difference and deficit through pastoral care structures suggests a school-based politics of family adjustment. These practices beg the question whether families are better off not telling the school about their family identity. My thesis will be of interest to educational research and educational policy because it highlights how changing demographics such as family compositions are mis-conceptualised in schools, as well as revealing the changing forms of family governance through regimes such as pastoral care. This analysis allows for the existence of, and a valuing for, alternative modes of family existence, so that future curricular and legal discourses can be challenged in the interest of equity and social justice.

Translating Nietzsche, mediating literature: Alexander Tille and the limits of Anglo-German intercultural transfer

Dr. Alexander Tille (1866–1912) was one of the key-figures in Anglo-German intercultural transfer towards the end of the 19th century. As a lecturer in German at Glasgow University he was the first to translate and edit Nietzsche’s work into English. Writers such as W. B. Yeats were influenced by Nietzsche and used Tille’s translations. Tille’s social Darwinist reading of the philosopher’s oeuvre, however, had a narrowing impact on the reception of Nietzsche in the Anglo-Saxon world for decades. Through numerous publications Tille disseminated knowledge about British authors (e.g., Robert Louis Stevenson, William Wordsworth) in Germany and about German authors (e.g., Johann Wolfgang von Goethe) in Britain. His role as mediator also extended into areas such as history, religion, and industry. During the Boer war, however, Tille’s outspoken pro-German nationalism brought him in conflict with his British host society. After being physically attacked by his students he returned to Germany and published a highly anglophobic monograph. Tille personifies the paradox of Anglo-German relations in the pre-war years, which deteriorated despite an increase in intercultural transfer and knowledge about the respective Other. [From the Author]

Exeter-Hall Science and Evangelical Rhetoric in Mid-Victorian Britain

In the early and mid-Victorian period public pronouncements by evangelicals were often described as the antithesis of rational speech. The voice of science, on the other hand, was routinely equated with the voice of reason. This disparity was particularly clear in satirical and critical commentary about the platform rhetoric associated with London’s Exeter Hall, a key meeting place for evangelicals and a metonym for evangelical expressions of Christian belief. It was against this backdrop that the fledgling Young Men’s Christian Association inaugurated a popular series of lectures in 1845. Held in Exeter Hall from 1848, the series ran until 1865 and proved to be immensely popular. By investigating the ways in which the promotion of science was combined with religious exhortation in the YMCA lectures, this paper examines how evangelicals positioned themselves with respect to the growing cultural authority of science. The paper also argues that these efforts were indelibly marked by the Hall and the communicative medium in which they were made. As such, the paper sheds light on the significance of platform culture within and beyond evangelicalism and on the importance of venue and audience in understanding science and religion relations in an age of lecturing.

Testing a social ecological model for relations between political violence and child adjustment in Northern Ireland

Relations between political violence and child adjustment are matters of international concern. Past research demonstrates the significance of community, family, and child psychological processes in child adjustment, supporting study of interrelations between multiple social ecological factors and child adjustment in contexts of political violence. Testing a social ecological model, 300 mothers and their children (M = 12.28 years, SD = 1.77) from Catholic and Protestant working class neighborhoods in Belfast, Northern Ireland, completed measures or community discord, family relations, and children's regulatory processes (i.e., emotional security) and outcomes. Historical political violence in neighborhoods based on objective records (i.e., politically motivated deaths) were related to family members' reports of current sectarian antisocial behavior and nonsectarian antisocial behavior. Interparental conflict and parental monitoring and children's emotional security about both the community and family contributed to explanatory pathways for relations between sectarian antisocial behavior in communities and children's adjustment problems. The discussion evaluates support for social ecological models for relations between political violence and child adjustment and its implications for understanding relations in other parts of the world.

Measurement and modelling of perceived slant in surfaces represented by freely viewed line drawings

Simple pictures under everyday viewing conditions evoke impressions of surfaces oriented in depth. These impressions have been studied by measuring the slants of perceived surfaces, with probes (rotating arrowheads) designed to respect the distinctive character of depicted scenes. Converging arguments indicated that the perceived orientation of the probes was near theoretical values. A series of experiments showed that subjects formed well-defined impressions of depicted surface orientation. The literature suggests that perceived objects might be flattened', but that was not the general rule. Instead, both mean slant and uncertainty fitted models in which slant estimates are derived in a relatively straightforward way from local relations in the picture. Simplifying pictures tended to make orientation estimates less certain, particularly away from the natural anchor points (vertical and horizontal). The shape of the object affected all aspects of the observed-object/percept relationship. Individual differences were large, and suggest that different individuals used different relationships as a basis for their estimates. Overall, data suggest that everyday picture perception is strongly selective and weakly integrative. In particular, depicted slant is estimated by finding a picture feature which will be strongly related to it if the object contains a particular regularity, not by additive integration of evidence from multiple directly and indirectly relevant sources.

A Contested Landscape: Monuments, public memory, and post-Soviet Identity in Stavropol’, Russia

Much recent literature in cultural, political and social geography has considered the relationship between identity, memory, and the urban landscape. This paper interrogates such literature through exploring the complex materialisation of memorialisation in post-Soviet Russia. Using the example of the statue of General Alexei Ermolov in Stavropol', an analysis of the cityscape reveals interethnic tensions over differing interpretations of the life and history of the person upon whom the statue is based. The existence of a rich literature on Ermolov and the Russian colonial experience in the North Caucasus helps to explain this. The symbolic cityscape of Stavropol' plays an important role in interethnic relations in the multi-ethnic city; it is both an arena through which Russian identity is communicated with people and produced and reproduced, and an arena through which Russian citizens compete with each other for authority on historical narratives that operate at and between a number of scales. People's readings of the cityscape can reveal much about power and space in contemporary Russia.

‘Plugging the Gap’: Shared Education and the promotion of community relations through schools in Northern Ireland

Although there is no consensus amongst educationalists as to the role schools play as drivers of hostilities in divided societies, there is broad agreement that they can facilitate more positive intergroup relations. In Northern Ireland the promotion of school based inter-group contact has been offered as a means through which this can happen. Until 2007, the approach was twofold, reflected on the one hand in short-term contact opportunities for pupils in predominantly Catholic and Protestant schools, and on the other, in support for integrated schools which educate Catholics and Protestants together. In 2007 the Shared Education Programme was introduced to ‘bridge the gap’ between short-term opportunities for contact, and ‘full immersion’ integrated schools. Informed by contact theory, shared education offers curriculum based interaction between pupils attending all school types, aimed at promoting the type of contact likely to reduce negative social attitudes and ultimately contribute to social harmony. In this paper, we examine the impact of shared education thus far. Our analysis suggests that whilst shared education is generally effective in promoting positive assessments of other group members, there is a danger that programme impact may be inhibited by the foregrounding of educational over reconciliation priorities. Appreciating that the downplaying reconciliation objectives may have been necessary when the programme was established in order to maximize recruitment to it, we argue that if the full potential of shared education is to be realized, moving forward, it is important for schools to engage with issues of group differences.

Intergroup Relations and Fundamental Dimensions of Social Judgment

The goal of this paper is to review the literature on the fundamental dimensions of social judgment and reflect on how these can help to boost our understanding of attitudes towards immigrants. We start by reviewing the work on the “fundamental dimensions” along which these judgments are organized, describing the different conceptions that have been put forward, identifying the regularities found in the content of these dimensions and the distinctions between them. Next, we propose a new way of looking at these fundamental dimensions by situating them within the specific field of intergroup relations in an immigration context, and explain how all the different examples of dimensions map onto this “new perspective”. We conclude by discussing how these two dimensions mirror the two fundamental topics that organize the discourse and the opinions about immigrants and immigration in society, and how attitudes towards immigrants can be differentially shaped by these two fundamental dimensions.

Memory mixed with desire : a preliminary study of philosophy and literature in the works of Friedrich Nietzsche and Milan Kundera

Memory Mixed with Desire: A preliminary study of Philosophy and Literature in the works of Friedrich Nietzsche and Milan Kundera Robert Spinelli Brock University, Department of Philosophy This thesis studies intertextuality in the works of Friedrich Nietzsche and Milan Kundera through the primary themes of memory and forgetting. The thesis starts with two introductory chapters that delineate memory according to Nietzsche and Kundera respectively. From here, I move into a discussion of Nietzsche's Ubermensch as an example of the type of forgetting that Nietzsche sees as a cure for the overabundance of memory that has led to Christian morality. Next, I explore the Kunderan concept of kitsch as the polar opposite of what Nietzsche has sought in his philosophy, finishing the chapter by tying the two thinkers together in a Kunderan critique of Nietzsche. The thesis ends with a chapter devoted to the Eternal Return beginning with an exegesis of Nietzsche's idea and ending with a similar exegesis of Kundera's treatment of this thought. What I suggest in this chapter is that the Eternal Return might itself be a form of kitsch even in its attempt to revalue existence.