An exactly solvable four transition point model

Heavy particle collisions, in particular low-energy ion-atom collisions, are amenable to semiclassical JWKB phase integral analysis in the complex plane of the internuclear separation. Analytic continuation in this plane requires due attention to the Stokes phenomenon which parametrizes the physical mechanisms of curve crossing, non-crossing, the hybrid Nikitin model, rotational coupling and predissociation. Complex transition points represent adiabatic degeneracies. In the case of two or more such points, the Stokes constants may only be completely determined by resort to the so-called comparison- equation method involving, in particular, parabolic cylinder functions or Whittaker functions and their strong-coupling asymptotics. In particular, the Nikitin model is a two transition-point one-double-pole problem in each half-plane corresponding to either ingoing or outgoing waves. When the four transition points are closely clustered, new techniques are required to determine Stokes constants. However, such investigations remain incomplete, A model problem is therefore solved exactly for scattering along a one-dimensional z-axis. The energy eigenvalue is b(2)-a(2) and the potential comprises -z(2)/2 (parabolic) and -a(2) + b(2)/2z(2) (centrifugal/centripetal) components. The square of the wavenumber has in the complex z-plane, four zeros each a transition point at z = +/-a +/- ib and has a double pole at z = 0. In cases (a) and (b), a and b are real and unitarity obtains. In case (a) the reflection and transition coefficients are parametrized by exponentials when a(2) + b(2) > 1/2. In case (b) they are parametrized by trigonometrics when a(2) + b(2) <1/2 and total reflection is achievable. In case (c) a and b are complex and in general unitarity is not achieved due to loss of flux to a continuum (O'Rourke and Crothers, 1992 Proc. R. Sec. 438 1). Nevertheless, case (c) coefficients reduce to (a) or (b) under appropriate limiting conditions. Setting z = ht, with h a real constant, an attempt is made to model a two-state collision problem modelled by a pair of coupled first-order impact parameter equations and an appropriate (T) over tilde-tau relation, where (T) over tilde is the Stueckelberg variable and tau is the reduced or scaled time. The attempt fails because (T) over tilde is an odd function of tau, which is unphysical in a real collision problem. However, it is pointed out that by applying the Kummer exponential model to each half-plane (O'Rourke and Crothers 1994 J. Phys. B: At. Mel. Opt. Phys. 27 2497) the current model is in effect extended to a collision problem with four transition points and a double pole in each half-plane. Moreover, the attempt in itself is not a complete failure since it is shown that the result is a perfect diabatic inelastic collision for a traceless Hamiltonian matrix, or at least when both diagonal elements are odd and the off-diagonal elements equal and even.

Kinetics of phase transformations in a model with metastable fluid-fluid separation: A molecular dynamics study

By molecular dynamics (MD) simulations we study the crystallization process in a model system whose particles interact by a spherical pair potential with a narrow and deep attractive well adjacent to a hard repulsive core. The phase diagram of the model displays a solid-fluid equilibrium, with a metastable fluid-fluid separation. Our computations are restricted to fairly small systems (from 2592 to 10368 particles) and cover long simulation times, with constant energy trajectories extending up to 76x10(6) MD steps. By progressively reducing the system temperature below the solid-fluid line, we first observe the metastable fluid-fluid separation, occurring readily and almost reversibly upon crossing the corresponding line in the phase diagram. The nucleation of the crystal phase takes place when the system is in the two-fluid metastable region. Analysis of the temperature dependence of the nucleation time allows us to estimate directly the nucleation free energy barrier. The results are compared with the predictions of classical nucleation theory. The critical nucleus is identified, and its structure is found to be predominantly fcc. Following nucleation, the solid phase grows steadily across the system, incorporating a large number of localized and extended defects. We discuss the relaxation processes taking place both during and after the crystallization stage. The relevance of our simulation for the kinetics of protein crystallization under normal experimental conditions is discussed. (C) 2002 American Institute of Physics.

Parity nonconservation in electron recombination of multiply charged ions

We discuss a parity nonconserving asymmetry in the cross section of KLL dielectronic recombination of polarized electrons on the hydrogenlike ions with Z less than or similar to 60. This effect is strongly enhanced because of the near degeneracy of doubly excited 2l2l(') states of opposite parity in He-like ions. For ions with Z similar to 30 the asymmetry is of the order of 10(-9). For Z approximate to 48 a level crossing takes place, leading to the PNC asymmetry of -1.3x10(-8), which is 10(8) times greater than the basic strength of the weak interaction in atoms.

A delphy study of the cooperativisation of the social services in the historical territory of Gipuzkoa

This article shows the main results obtained from the Delphi study, which was made of politicians and technicians from the Department of Social Policy in the County Council of Gipuzkoa, concerning the possibility of cooperativizing the provision of social services in this historical territory. With this in mind, the structure of this article is in two different parts. The first part develops the theoretical framework which serves as inspiration for the empirical work, where note is made of the main theoretical proposals that have a bearing on the collective dimension of citizen participation in the management of public services. Among the various models, those which prioritise public participation through social and solidarity economy entities stand out. The second part concerns itself with the presentation of the field research results. To this end, the methodological notes concerning the preparation process for the Delphi analysis are presented first and this is immediately followed by a synthesis of the main results obtained in this study. The article ends with a section of conclusions and future lines of action.

The limits of legitimacy: Former loyalist combatants and peace-building in Northern Ireland

The British government has a fraught relationship with former combatants in Northern Ireland. It simultaneously benefits from former combatants’ peace-building efforts, whilst denying them statutory recognition and funding. Drawing on interviews and focus groups with politically motivated former loyalist combatants and statutory representatives in Belfast, this paper explores the complex and sometimes contradictory relationship between them. It argues that that a lack of legitimacy is the biggest obstacle to good working relationships, and that positive engagement may be crucial in order to promote the implementation of peace in the most difficult to reach and volatile constituencies in Northern Ireland.

Cool Rationalities and Hot Air: A Rhetorical Approach to Understanding Debates on Renewable Energy.

A key obstacle to the wide-scale development of renewable energy is that public acceptability of wind energy cannot be taken for granted when wind energy moves from abstract support to local implementation. Drawing on a case study of opposition to the siting of a proposed off-shore wind farm in Northern Ireland, we offer a rhetorical analysis of a series of representative documents drawn from government, media, pro- and anti-wind energy sources, which identifies and interprets a number of discourses of objection and support. The analysis indicates that the key issue in terms of the transition to a renewable energy economy has little to do with the technology itself. Understanding the different nuances of pro- and anti-wind energy discourses highlights the importance of thinking about new ways of looking at these conflicts. These include adopting a “conflict resolution” approach and “upstreaming” public involvement in the decision-making process and also the counter-productive strategy of assuming that objection is based on ignorance (which can be solved by information) or NIMBY thinking (which can be solved by moral arguments about overcoming “free riders”).

Higher order statistics for the κ–μ distribution

Closed-form expressions for the level crossing rate and average fade duration of a kappa–mu distributed fading signal envelope are presented. The proposed equations are validated by reduction to known Rice, Rayleigh and Nakagami-m special cases. They are also compared with measured data obtained from field trials analysing human body to body radio channels and shown to provide good agreement.

Risk of disease from wildlife reservoirs: Badgers, cattle, and bovine tuberculosis

Livestock face complex foraging options associated with optimizing nutrient intake while being able to avoid areas posing risk of parasites or disease. Areas of tall nutrient-rich swards around fecal deposits may be attractive for grazing, but might incur fitness costs from parasites. We use the example of dairy cattle and the risks of tuberculosis transmission posed to them by pastures contaminated with badger excreta to examine this trade-off. A risk may be posed either by aerosolized inhalation through investigation or by ingestion via grazing contaminated swards. We quantified the levels of investigation and grazing of 150 dairy cows at badger latrines (accumulations of feces and urine) and crossing points (urination-only sites). Grazing behavior was compared between strip-grazed and rotation-grazed fields. Strip grazing had fields subdivided for grazing periods of

Developmental changes in the response to obstacles during prehension

Adults are proficient at reaching to grasp objects of interest in a cluttered workspace. The issue of concern, obstacle avoidance, was studied in 3 groups of young children aged 11-12, 9-10, and 7-8 years (n = 6 in each) and in 6 adults aged 18-24 years. Adults slowed their movements and decreased their maximum grip aperture when an obstacle was positioned close to a target object (the effect declined as the distance between target and obstacle increased). The children showed the same pattern, but the magnitude of the effect was quite different. In contrast to the adults, the obstacle continued to have a large effect when it was some distance from the target (and provided no physical obstruction to movement).

The feminine character and temporal freedom in three historical novels by Angelina Muñiz: Morada interior (1972), "El Mercader de Tudela" (1995) y "La Burladora de Toledo" (2008)

We focus on the representation of time in Muñiz’s historical novels. Concretely, we stress the attitude of the feminine characters towards time and history. Muñiz’s female personages continuously transgress temporal borders and move freely between different historical periods. We relate Muñiz’s particular vision on time and on the separation lines between historical periods to her situation as an exile. The author is continuously crossing borders between the past of her homeland and the present of her adoptive country. We argument Muñiz is recreating this “borderfree” attitude towards time in the female characters of her historical novels.