Green function for the diffusion limit of one-dimensional continuous time random walks

It is shown how the fractional probability density diffusion equation for the diffusion limit of one-dimensional continuous time random walks may be derived from a generalized Markovian Chapman-Kolmogorov equation. The non-Markovian behaviour is incorporated into the Markovian Chapman-Kolmogorov equation by postulating a Levy like distribution of waiting times as a kernel. The Chapman-Kolmogorov equation so generalised then takes on the form of a convolution integral. The dependence on the initial conditions typical of a non-Markovian process is treated by adding a time dependent term involving the survival probability to the convolution integral. In the diffusion limit these two assumptions about the past history of the process are sufficient to reproduce anomalous diffusion and relaxation behaviour of the Cole-Cole type. The Green function in the diffusion limit is calculated using the fact that the characteristic function is the Mittag-Leffler function. Fourier inversion of the characteristic function yields the Green function in terms of a Wright function. The moments of the distribution function are evaluated from the Mittag-Leffler function using the properties of characteristic functions and a relation between the powers of the second moment and higher order even moments is derived. (C) 2004 Elsevier B.V. All rights reserved.

Operation of a free-electron laser from the extreme ultraviolet to the water window

We report results on the performance of a free-electron laser operating at a wavelength of 13.7 nm where unprecedented peak and average powers for a coherent extreme-ultraviolet radiation source have been measured. In the saturation regime, the peak energy approached 170 J for individual pulses, and the average energy per pulse reached 70 J. The pulse duration was in the region of 10 fs, and peak powers of 10 GW were achieved. At a pulse repetition frequency of 700 pulses per second, the average extreme-ultraviolet power reached 20 mW. The output beam also contained a significant contribution from odd harmonics of approximately 0.6% and 0.03% for the 3rd (4.6 nm) and the 5th (2.75 nm) harmonics, respectively. At 2.75 nm the 5th harmonic of the radiation reaches deep into the water window, a wavelength range that is crucially important for the investigation of biological samples.

Allocating transmission loss to loads and generators through complex power flow tracing

This paper presents a new method for complex power flow tracing that can be used for allocating the transmission loss to loads or generators. Two algorithms for upstream tracing (UST) and downstream tracing (DST) of the complex power are introduced. UST algorithm traces the complex power extracted by loads back to source nodes and assigns a fraction of the complex power flow through each line to each load. DST algorithm traces the output of the generators down to the sink nodes determining the contributions of each generator to the complex power flow and losses through each line. While doing so, active- and reactive-power flows as well as complex losses are considered simultaneously, not separately as most of the available methods do. Transmission losses are taken into consideration during power flow tracing. Unbundling line losses are carried out using an equation, which has a physical basis, and considers the coupling between active- and reactive-power flows as well as the cross effects of active and reactive powers on active and reactive losses. The tracing algorithms introduced can be considered direct to a good extent, as there is no need for exhaustive search to determine the flow paths as these are determined in a systematic way during the course of tracing. Results of application of the proposed method are also presented.

Transmission loss allocation in a deregulated electrical energy market

This paper presents a new method for transmission loss allocation in a deregulated electrical power market. The proposed method is based on physical flow through transmission lines. The contributions of individual loads to the line flows are used as basis for allocating transmission losses to different loads. With minimum assumptions, that sound to be reasonable and cannot be rejected, a novel loss allocation formula is derived. The assumptions made are: a number of currents sharing a transmission line distribute themselves over the cross section in the same manner; that distribution causes the minimum possible power loss. Application of the proposed method is straightforward. It requires only a solved power flow and any simple algorithm for power flow tracing. Both active and reactive powers are considered in the loss allocation procedure. Results of application show the accuracy of the proposed method compared with the commonly used procedures.

Absolute Atomic Oxygen Density Distributions in the Effluent of a Micro Scale Atmospheric Pressure Plasma Jet

The coplanar microscale atmospheric pressure plasma jet (µ-APPJ) is a capacitively coupled radio frequency discharge (13.56 MHz, ~15W rf power) designed for optimized optical diagnostic access. It is operated in a homogeneous glow mode with a noble gas flow (1.4 slm He) containing a small admixture of molecular oxygen (~0.5%). Ground state atomic oxygen densities in the effluent up to 2 × 1014 cm-3 are measured by two-photon absorption laser-induced fluorescence spectroscopy (TALIF) providing space resolved density maps. The quantitative calibration of the TALIF setup is performed by comparative measurements with xenon. A maximum of the atomic oxygen density is observed for 0.6% molecular oxygen admixture. Furthermore, an increase in the rf power up to about 15W (depending on gas flow and mixture) leads to an increase in the effluent’s atomic oxygen density, then reaching a constant level for higher powers.

Argon metastable state densities in inductively coupled plasma in mixtures of Ar and O2

We have measured the densities of 1s5 and 1s3 argon metastables as a function of the abundance of molecular oxygen in an inductively coupled plasma (ICP) in mixtures of Ar and O2. Laser absorption spectroscopy was used to determine the densities of the metastables. It was found that even small abundances of oxygen lead to large increases in metastable density, mostly due to the reduction in the electron number density, since electron-induced quenching determines the metastable density. At abundances higher than 7% to 15% for powers between 50 and 150W, quenching by oxygen molecules begins to dominate and the metastable density drops again.

The Nineteenth Century Law of the Sea and the British Abolition of the Slave Trade

This study focuses on British attempts during the nineteenth century to outlaw the Atlantic Slave Trade internationally, for which it was successful, after seventy-five years of effort. It considers the lack of willingness to allow Great Britain, at the Congress of Vienna and during the Concert of Europe, to establish a universal treaty outlawing the slave trade. As a result, this mandated a change in British tactics, which would ultimately prove to be successful – the establishment of a web of bilateral agreements which came to included all maritime powers. The study then moves on to consider the evolution of these bilateral agreements while highlighting the relationship between Great Britain and States (Brazil, France, Portugal and the United States) which were obstinate in their willingness to join this bilateral regime. Finally, consideration is given to the move towards the establishment of the 1890 General Act of Brussels; and thus the conclusion of the decades long British foreign policy objective of a universal instrument meant to suppress the Atlantic Slave Trade.

The Definition of Slavery in International Law

On the basis of archival research, this Article considers the negotiation history of both the 1926 Slavery Convention and 1956 Supplementary Convention and demonstrates that an interpretation of the provisions of the definition of slavery consonant with the travaux préparatoires reveal a definition which provides for the possibility of holding States and individuals responsible for not only slavery de jure but also de facto. That understanding is premised on a reading of the definition that speaks not of the ‘ownership’ of one person by another; but of the powers attached to the right of ownership. It is through an exploration of this phrase that a proper understanding of the definition of slavery in international law emerges.

Minimum Wage Regulation under Devolution in Northern Ireland

This paper assesses the development and functioning of regional minimum wage regulation in Northern Ireland in the interwar period under a federal form of devolution. Unlike current devolution arrangements in Scotland and Wales, this gave the Stormont Parliament powers over employment and minimum wage regulation. Northern Ireland Trade Boards were set up by the Ulster Unionist Government under the Trade Boards (Northern Ireland) Act 1923 and functioned along the same lines as those in Great Britain. Uniquely in the UK in this period, employer opposition resulted in the main Trade Board in the Irish Linen Industry being replaced by voluntary collective bargaining machinery. About one-quarter of employees were covered by minimum wage regulation, including two-thirds of females in Belfast, keeping a protective floor under low pay.

Convergence and tracking analysis of a variable normalised LMF (XE-NLMF) algorithm

The least-mean-fourth (LMF) algorithm is known for its fast convergence and lower steady state error, especially in sub-Gaussian noise environments. Recent work on normalised versions of the LMF algorithm has further enhanced its stability and performance in both Gaussian and sub-Gaussian noise environments. For example, the recently developed normalised LMF (XE-NLMF) algorithm is normalised by the mixed signal and error powers, and weighted by a fixed mixed-power parameter. Unfortunately, this algorithm depends on the selection of this mixing parameter. In this work, a time-varying mixed-power parameter technique is introduced to overcome this dependency. A convergence analysis, transient analysis, and steady-state behaviour of the proposed algorithm are derived and verified through simulations. An enhancement in performance is obtained through the use of this technique in two different scenarios. Moreover, the tracking analysis of the proposed algorithm is carried out in the presence of two sources of nonstationarities: (1) carrier frequency offset between transmitter and receiver and (2) random variations in the environment. Close agreement between analysis and simulation results is obtained. The results show that, unlike in the stationary case, the steady-state excess mean-square error is not a monotonically increasing function of the step size. (c) 2007 Elsevier B.V. All rights reserved.

Localization in Sardinia and Its Obstacles: A Reply to Hospers’ “Localization in Europe’s Periphery: Tourism Development in Sardinia”

In this reply to Hospers' “Localization in Europe's Periphery: Tourism Development in Sardinia” by Gert-Jan Hospers (2003), we argue that the author's advocacy of localized economic policies as a viable means to the economic development of Sardinia does not take into account current institutional assets that prevent Sardinia from pursuing localized interests effectively. We first discuss the historical background of these institutional assets, highlighting that a top-down approach to decision-making has characterized relations between Sardinia and the central state for most of the modern era. We then discuss the institutional and economic impediments to Sardinian attempts to pursue localized policies in light of recent institutional conflicts between region and central state. Our conclusion is that the localization of economic strategies necessitates entwined localization of decision-making powers in order to be effective.

Can Civil Society Succeed Where Elites Have Failed in the War on Sectarianism? Towards an infinitely demanding politics for the North

Caught between the well-armed imaginations of paramilitary organisations competing for the hearts and minds of a divided population, and state engineering of a liberal peace, civil society's impact on Northern Ireland's identity politics was limited during the thirty-year conflict. Specifically, the community and voluntary sector itself has tended to replicate as much as it challenged patterns of segregation in many of its own structures. With plans set out in the Northern Ireland Executive's Programme for Government (2008-11) to engage civil society in opening a new era of ‘good relations’ work to counter sectarianism and racism, civil society organisations will face a complex terrain, facing scepticism about their contribution to peace-making before the Good Friday Agreement, and working in a post-Agreement environment marked by continuing elite and communal antagonism demonstrated by the crisis at the turn of 2009 over devolution of justice and policing powers to the Northern Ireland Executive. A significant aspect of the resolution was a belated agreement by Sinn Fein and the DUP on a new community relation strategy, Cohesion, Sharing and Integration. This article suggests that civil society has a significant role to play in encouraging communities to confront the contradictions and tensions that continue to haunt the political architects of the Good Friday Agreement by affirming a radical and contingent vision of democracy as democratisation at a distance from the identity-saturated politics of the state-region of Northern Ireland. It draws on the work of Simon Critchley, Emmanuel Levinas and Wendy Brown, to offer an approach to identity politics in post-conflict Northern Ireland, focusing on the future orientation of civil society.

Choice and Welfare Reform: Lone Parents’ Decision Making around Paid Work and Family Life

Welfare-to-work policy in the UK sees ‘choice’ regarding lone parents’ employment decisions increasingly defined in terms of powers of selection between options within active labour market programmes, with constraints on the option of non-market activity progressively tightened. In this paper, we examine the wider choice agenda in public services in relation to lone-parent employment, focusing on the period of welfare reform following the 2007 Freud review of welfare provision. Survey data is used to estimate the extent to which recent policies promoting compulsory job search by youngest dependent child age map onto lone parents' own stated decision-making regarding if and when to enter the labour market. The findings indicate a substantial proportion of lone parents targeted by policy reform currently do not want a job and that their main reported reason is that they are looking after their children. Economically inactive lone mothers also remain more likely to have other chronic employment barriers, which traverse dependent child age categories. Some problems, such as poor health, sickness or disability, are particularly acute among those with older dependent children who are the target of recent activation policy.

Both English and Latin: Bilingualism and Biculturalism in Milton's Neo-Latin Writings (219pp.)

Review by Emma A. Wilson, Milton Quarterly 49.1 (March, 2015), 54-59:

‘This volume provides an invaluable new perspective on both Milton’s neo-Latin poems and also the major vernacular poetry by insisting politely but firmly upon the bilingualism of their author and the manifest effects of that bilingualism upon style and intertextuality in his corpus. Through a dextrous combination of manuscript research, modern understandings of bilingualism, and crucially meticulous and demanding close readings, this volume succeeds in vivifying a wealth of new relationships between Milton’s neo-Latin works and his vernacular poems … Haan is expert in probing and elucidating the multiple linguistic and cultural lenses through which Milton projects his work, and the resulting volume brings a new set of historical contexts and consequences for both the major and minor texts, whilst also more importantly furnishing an exciting new method with which to approach these works as a whole ... Haan's linguistic expertise and meticulous archival research combine to create a critical work in which discoveries gradually accumulate and speak to one another in very specific, nuanced dialogues between chapters ... opening up exciting new reading vistas ... The final two chapters, in which Haan harvests some of the fruits of her considerable and fantastic labor in the archives and in current linguistic research into bilingualism, bring to light fresh perspectives on some of Milton's major published poetic works.’


Both English and Latin: Bilingualism and Biculturalism in Milton’s Neo-Latin Writings (2012) (Back Cover):

Gordon Campbell, University of Leicester:
‘Estelle Haan is the world’s foremost authority on Milton’s Latin poetry, and probably the most distinguished student of that poetry in the history of critical commentary. This is a work of extraordinary authority written by a scholar at the height of her powers. In short, this is a terrific book, elegant and informative.’

Anne Mahoney, Tufts University:
‘This book ssucceeds in presenting Milton's poetry as a single, unified body of work. Its biggest strength is the many close readings of Milton's Latin verse as engagements with classical Latin literature. In addition to introducing the Latin verse to new readers, it provides a new approach to Paradise Lost, one that accounts for one of the difficulties of Milton’s text—its language—in a novel way.’


Abstract:

Both English and Latin examines the interplay of Latin and English in a selection of John Milton's neo-Latin writings. It argues that this interplay is indicative of an inherent bilingualism that proceeds hand-in-hand with a self-fashioning that is bicultural in essence. Interlingual flexibility ultimately proved central to the poet of Paradise Lost, an epic uniquely characterized by its Latinate vernacular and its vernacular Latinitas.