Lithostratigraphical subdivision of the Sherwood Sandstone Group (Triassic) of the north-eastern part of the Carlisle Basin, Cumbria, and adjacent parts of Dumfries and Galloway, UK.

This report presents a review of the history of the lithostratigraphical subdivision of the Triassic Sherwood Sandstone Group of the north-eastern part of the Carlisle Basin, Cumbria, and adjacent parts of Dumfries and Galloway, UK. Two formations, the St Bees Sandstone and Kirklinton Sandstone, have been mapped in the past. However, previous workers have found considerable difficulty in consistently identifying, defining and mapping the Kirklinton Sandstone Formation. Moreover, previous accounts of the sandstones in the Carlisle area appear to suggest that the succession there differs in several key aspects from its correlatives in other parts of Cumbria and, in particular, the adjacent offshore area. As a result of a short period of field work in the area, it is concluded that the principal lithological change is between mainly fine-grained sandstones, that are generally or commonly micaceous and contain common or numerous mudstone interbeds, in the lower and middle parts of the group, and fine- to coarsegrained sandstones with rare or no mica and mudstone partings at the top of the group. This change occurs within the Kirklinton Sandstone Formation as previously mapped, and it is suggested that this unit is now invalid. Several options are considered as to how the group should be subdivided and the nomenclature to be adopted. All options presently have some associated problems, but the adoption of the same terminology as in the continuous offshore is suggested, i.e. St Bees Sandstone Formation below (subdivided where possible into Rottington Sandstone and Calder Sandstone Members) and Ormskirk Sandstone Formation above

A GIS of the extent of historical mining activities in Scotland: explanatory notes

As part of the secondment of BGS staff to SEPA to help implement the Water Framework Directive (WFD) in Scotland, BGS have been asked to provide an approximate outline of the extent of historical mining in Scotland. This will be used to help characterize pressures on Scottish groundwater as part of the initial characterization of groundwater bodies for the WFD. Initial characterization has to be completed by December 2004; for bodies deemed to be at risk there will be further characterization after 2004. A team of BGS geologists carried out the work during September 2003. The aim of the study was: “To delineate the extent of known and inferred historical and current shallow and dee

Minigap in a long disordered SNS junction: analytical results

We review and refine analytical results on the density of states in a long disordered superconductor - normal-metal - superconductor junction with transparent interfaces. Our analysis includes the behavior of the minigap near phase differences zero and PI across the junction, as well as the density of states at energies much larger than the minigap but much smaller than the superconducting gap.Comment: 4 page

Partial credit in mathematics exams - a comparison of traditional and CAA exams

With the growing trend in many subjects to deliver at least some part of examinations by computer, it is important to know whether there are any differences in the results obtained by candidates sitting examinations taken by computer compared to those obtained by candidates sitting conventional examinations using pen and paper. The purpose of this paper is to describe a pilot project to compare the traditional type of assessment with assessment done by computer in mathematics examinations and in particular to investigate the role of partial credit in these examinations. In paper based examinations full marks are awarded for a completely correct answer. If, however, a student obtains an incorrect answer but gets some parts of the working correct then in mathematics examinations partial credit is normally awarded. In a computer examination an incorrect answer to a question is normally awarded no marks with no consideration of any partial credit. The mechanism for giving partial credit in the computer examinations of this project was to break the question down into Steps. The project compared results of students taking computer tests in three different formats (either no Steps, compulsory Steps or optional Steps) and the partial credit they would have obtained by taking the corresponding examinations on paper. The tests were at the level of Scottish Higher school examinations and were taken by school students who were about to sit their Higher examinations. This level was chosen as it was high enough to test the students on strategy and mathematical working, while the questions were not too long so that a clearer analysis of the results was possible

Effect of magnetic and non-magnetic impurities on highly anisotropic superconductivity

We generalize Abrikosov-Gor'kov solution of the problem of weakly coupled superconductor with impurities on the case of a multiband superconductor with arbitrary interband order parameter anisotropy, including interband sign reversal of the order parameter. The solution is given in terms of the effective (renormalized) coupling matrix and describes not only $T_c$ suppression but also renormalization of the superconducting gap basically at all temperatures. In many limiting cases we find analytical solutions for the critical temperature suppression. We illustrate our results by numerical calculations for two-band model systems.Comment: 18 pages (12pt) RevTeX, 4 postscript figure

Low Energy Excitations in Spin Glasses from Exact Ground States

We investigate the nature of the low-energy, large-scale excitations in the three-dimensional Edwards-Anderson Ising spin glass with Gaussian couplings and free boundary conditions, by studying the response of the ground state to a coupling-dependent perturbation introduced previously. The ground states are determined exactly for system sizes up to 12^3 spins using a branch and cut algorithm. The data are consistent with a picture where the surface of the excitations is not space-filling, such as the droplet or the ``TNT'' picture, with only minimal corrections to scaling. When allowing for very large corrections to scaling, the data are also consistent with a picture with space-filling surfaces, such as replica symmetry breaking. The energy of the excitations scales with their size with a small exponent \theta', which is compatible with zero if we allow moderate corrections to scaling. We compare the results with data for periodic boundary conditions obtained with a genetic algorithm, and discuss the effects of different boundary conditions on corrections to scaling. Finally, we analyze the performance of our branch and cut algorithm, finding that it is correlated with the existence of large-scale,low-energy excitations.Comment: 18 Revtex pages, 16 eps figures. Text significantly expanded with more discussion of the numerical data. Fig.11 adde

Role of the E2g phonon in the superconductivity of MgB2: a Raman scattering study

Temperature dependent Raman scattering studies in polycrystalline MgB2(10<T<300 K)reveal that the E2g phonon does not experience any self energy renormalization effect across the superconducting critical temperature Tc ~ 40 K. In contrast, most of the current theoretical models rely on the role of the E2g phonon in the electron-phonon coupling mechanism of superconductivity in MgB2. According to these models, a hardening of 12% is expected below Tc at the Gamma point of the Brillouim zone. In the presence of our results, those models must be reviewed. The analysis of the temperature dependence of the E2g phonon frequency yields to a isobaric Gruneisen parameter of -1.2< gama(E2g)< 0.2, smaller than the value of 3.9 obtained from isothermal Raman experiments under pressure. It is suggested that this apparent disagreement can be explained in terms of pressure induced changes of the topology of the Fermi surface. Finally we notice that the phonon linewidth presents the expected two-phonon anharmonic decay as a function of T and no anomalous temperature dependence of the linewidth is observed near Tc.Comment: Published in Solid State Comm. 125, 499 (2003

Theory of asymmetric non-additive binary hard-sphere mixtures

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small size ratios) the resulting effective Hamiltonian of the one-component fluid of big spheres, which consists of an infinite number of many-body interactions, should be accurately approximated by truncating after the term describing the effective pair interaction. Using a density functional treatment developed originally for additive hard-sphere mixtures we determine the zero, one, and two-body contribution to the effective Hamiltonian. We demonstrate that even small degrees of positive or negative non-additivity have significant effect on the shape of the depletion potential. The second virial coefficient $B_2$, corresponding to the effective pair interaction between two big spheres, is found to be a sensitive measure of the effects of non-additivity. The variation of $B_2$ with the density of the small spheres shows significantly different behavior for additive, slightly positive and slightly negative non-additive mixtures. We discuss the possible repercussions of these results for the phase behavior of binary hard-sphere mixtures and suggest that measurements of $B_2$ might provide a means of determining the degree of non-additivity in real colloidal mixtures

The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states

The nature of the zero temperature ordering transition in the 3D Gaussian random field Ising magnet is studied numerically, aided by scaling analyses. In the ferromagnetic phase the scaling of the roughness of the domain walls, $w\sim L^\zeta$, is consistent with the theoretical prediction $\zeta = 2/3$. As the randomness is increased through the transition, the probability distribution of the interfacial tension of domain walls scales as for a single second order transition. At the critical point, the fractal dimensions of domain walls and the fractal dimension of the outer surface of spin clusters are investigated: there are at least two distinct physically important fractal dimensions. These dimensions are argued to be related to combinations of the energy scaling exponent, $\theta$, which determines the violation of hyperscaling, the correlation length exponent $\nu$, and the magnetization exponent $\beta$. The value $\beta = 0.017\pm 0.005$ is derived from the magnetization: this estimate is supported by the study of the spin cluster size distribution at criticality. The variation of configurations in the interior of a sample with boundary conditions is consistent with the hypothesis that there is a single transition separating the disordered phase with one ground state from the ordered phase with two ground states. The array of results are shown to be consistent with a scaling picture and a geometric description of the influence of boundary conditions on the spins. The details of the algorithm used and its implementation are also described.Comment: 32 pp., 2 columns, 32 figure

Superconducting proximity effect in clean ferromagnetic layers

We investigate superconducting proximity effect in clean ferromagnetic layers with rough boundaries. The subgap density of states is formed by Andreev bound states at energies which depend on trajectory length and the ferromagnetic exchange field. At energies above the gap, the spectrum is governed by resonant scattering states. The resulting density of states, measurable by tunneling spectroscopy, exhibits a rich structure, which allows to connect the theoretical parameters from experiments.Comment: 11 pages, 5 figures (included