Scaling in the time-dependent failure of a fiber bundle with local load sharing

We study the scaling behaviors of a time-dependent fiber-bundle model with local load sharing. Upon approaching the complete failure of the bundle, the breaking rate of fibers diverges according to r(t)proportional to(T-f-t)(-xi) where T-f is the lifetime of the bundle and xi approximate to 1.0 is a universal scaling exponent. The average lifetime of the bundle [T-f] scales with the system size as N-delta, where delta depends on the distribution of individual fiber as well as the breakdown rule. [S1063-651X(99)13902-3].

Failure of fiber bundles with local load sharing

We develop a recursion-relation approach for calculating the failure probabilities of a fiber bundle with local load sharing. This recursion relation is exact, so it provides a way to test the validity of the various approximate methods. Applying the exact calculation to uniform and Weibull threshold distributions, we find that the most probable failure load coincides with the average strength as the size of the system N --> infinity.

BURST-SIZE DISTRIBUTION IN FIBER-BUNDLES WITH LOCAL LOAD-SHARING

A critical load x(c) is introduced into the fiber-bundle model with local load-sharing. The critical load is defined as the average load per fiber that causes the final complete failure. It is shown that x(c) --> 0 when the size of the system N --> infinity. A power law for the burst-size distribution, D(DELTA) is-proportional-to DELTA(-xi) is approximately correct. The exponent xi is not universal, since it depends on the strength distribution as well as the size of the system.

Sharing Classes between Separate Schools: a mechanism for improving inter-group relations in Northern Ireland?

One manifestation of division and the history of conflict in Northern Ireland is the parallel education system that exists for Protestants and Catholics. Although recent decades have seen some advances in the promotion of integrated education, around 95% of children continue to attend schools separated on ethno-religious lines. In 2007 a programme for sharing education was established. Underpinned by intergroup contact theory, and reflecting educational priorities shared by all school sectors, the programme seeks to offer children from different denominational schools an opportunity to engage with each other on a sustained basis. In this article the authors adopt a quantitative approach to examining the impact of participation in the Sharing Education Programme on a range of outcomes (out-group attitudes, positive action tendencies and out-group trust) via, first, intergroup contact (cross-group friendships) and, second, intergroup anxiety. Their findings confirm the value of contact as a mechanism for promoting more harmonious relationships, and affirm the Sharing Education Programme as an initiative that can help promote social cohesion in a society that remains deeply divided.

Courts and Consociations: Human Rights versus Power-sharing

Consociations are power-sharing arrangements, increasingly used to manage ethno-nationalist, ethno-linguistic, and ethno-religious conflicts. Current examples include Belgium, Bosnia, Northern Ireland, Burundi, and Iraq. Despite their growing popularity, they have begun to be challenged before human rights courts as being incompatible with human rights norms, particularly equality and non-discrimination.

Courts and Consociations examines the use of power-sharing agreements, their legitimacy, and their compatibility with human rights law. Key questions include to what extent, if any, consociations conflict with the liberal individualist preferences of international human rights institutions, and to what extent consociational power-sharing may be justified to preserve peace and the integrity of political settlements.

In three critical cases, the European Court of Human Rights has considered equality challenges to important consociational practices, twice in Belgium and then in Sejdic and Finci v Bosnia regarding the constitution established for Bosnia Herzegovina under the Dayton Agreement. The Court's decision in Sejdic and Finci has significantly altered the approach it previously took to judicial review of consociational arrangements in Belgium. This book accounts for this change and assess its implications. The problematic aspects of the current state of law are demonstrated. Future negotiators in places riven by potential or actual bloody ethnic conflicts may now have less flexibility in reaching a workable settlement, which may unintentionally contribute to sustaining such conflicts and make it more likely that negotiators will consider excluding regional and international courts from reviewing these political settlements.

Courts and Consociations:How human rights courts may destabilize power-sharing settlements

We consider the use of consociational arrangements to manage ethno-nationalist, ethno-linguistic, and ethno-religious conflicts, and their compatibility with non-discrimination and equality norms. Key questions include to what extent, if any, consociations conflict with the dictates of global justice and the liberal individualist preferences of international human rights institutions, and to what extent consociational power-sharing may be justified to preserve peace and the integrity of political settlements. In three critical cases, the European Court of Human Rights has considered equality challenges to important consociational practices, twice in Belgium and, most recently, in Sejdic and Finci, concerning the constitutional arrangements established for Bosnia Herzegovina under the Dayton Agreement. The Court’s recent decision in Sejdic and Finci has significantly altered the approach it previously took to judicial review of consociational arrangements in the Belgian cases. We seek to account for this change and assess its implications. We identify problematic aspects of the judgment and conclude that, although the Court’s decision indicates one possible trajectory of human rights courts’ reactions to consociations, this would be an unfortunate development because it leaves future negotiators in places riven by potential or manifest bloody ethnic conflicts with considerably less flexibility in reaching a settlement. That in turn may unintentionally contribute to sustaining such conflicts and make it more likely that advisors to negotiators will advise them to exclude regional and international courts from having standing in the management of political settlements.

Contact and context: sharing education and building relationships in a divided society

One approach to tackling problems of division in society has been to promote collaboration and engagement between schools separated on ethno-religious lines. Based on some variant of contact theory, the received wisdom is that inter-group encounters can contribute to prejudice reduction and promote more harmonious relationships. Evidence to support this analysis is convincing; however, relatively little is known about the environmental factors that impede or enhance the potential for contact in different contexts. The importance of understanding such factors is underscored in divided jurisdictions, where separate education has been linked to the perpetuation of division and hostility. This paper adopts a qualitative approach to exploring the impact of two inter-school initiatives in Northern Ireland. The projects are located in contrasting socio-political and demographic environments, and research findings point to very different contact outcomes for participants in each. Seemingly relevant factors include the degree of congruence between school and community norms and values, the opportunity to develop relationships outside the school context, the relationships developed between the schools and local communities and the historical, political and social referents used by individuals to navigate the contact experience. The paper concludes with some reflections on factors that may help foster social harmony and on potential policy implications of the findings.