'Ancient Enmities' and Modern Conflict: History and Politics in Northern Ireland

This article investigates the role of history and historical consciousness in deeply divided societies. It looks at the case of Northern Ireland. It argues that, while the conflict here is caused by contemporary divisions, perceptions of the past have had considerable influence. Recent years have seen efforts to change historical attitudes and this has aided political accommodation. An important lesson from the conflict in Northern Ireland points to the need to challenge such historical perceptions.

Escape times for rigid Brownian rotators in a bistable potential from the time evolution of the Green function and the characteristic time of the probability evolution

The greatest relaxation time for an assembly of three- dimensional rigid rotators in an axially symmetric bistable potential is obtained exactly in terms of continued fractions as a sum of the zero frequency decay functions (averages of the Legendre polynomials) of the system. This is accomplished by studying the entire time evolution of the Green function (transition probability) by expanding the time dependent distribution as a Fourier series and proceeding to the zero frequency limit of the Laplace transform of that distribution. The procedure is entirely analogous to the calculation of the characteristic time of the probability evolution (the integral of the configuration space probability density function with respect to the position co-ordinate) for a particle undergoing translational diffusion in a potential; a concept originally used by Malakhov and Pankratov (Physica A 229 (1996) 109). This procedure allowed them to obtain exact solutions of the Kramers one-dimensional translational escape rate problem for piecewise parabolic potentials. The solution was accomplished by posing the problem in terms of the appropriate Sturm-Liouville equation which could be solved in terms of the parabolic cylinder functions. The method (as applied to rotational problems and posed in terms of recurrence relations for the decay functions, i.e., the Brinkman approach c.f. Blomberg, Physica A 86 (1977) 49, as opposed to the Sturm-Liouville one) demonstrates clearly that the greatest relaxation time unlike the integral relaxation time which is governed by a single decay function (albeit coupled to all the others in non-linear fashion via the underlying recurrence relation) is governed by a sum of decay functions. The method is easily generalized to multidimensional state spaces by matrix continued fraction methods allowing one to treat non-axially symmetric potentials, where the distribution function is governed by two state variables. (C) 2001 Elsevier Science B.V. All rights reserved.

Rambling in the Field of Modern Identity: Some Speculations on Irish Traditional Music

This article argues that Irish “traditional” music is modern in its form and history, and explores the ramifications of this thesis for understanding of the peculiarities of Irish modernity and identity. The article exhaustively surveys the historiography of Irish traditional music and uniquely interprets this literature in relation to competing conceptions of identity and modernity articulated by Taylor, Appiah and Žižek. It also interprets Irish traditional music in relation to conceptions of Irish modernity articulated in a wide range of disciplines within Irish studies. Reflecting on the author’s lifelong engagement with traditional music performance, the article argues that the resilience of traditional music within the broader culture is connected to the peculiar character of Irish modernity, and that it suffers from problems of aesthetic exhaustion shared by much modern art in the contemporary conjuncture.