Effects of electrostatic correlations on electrokinetic phenomena

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with multivalent ions, or solvent-free ionic liquids where the classical theory is often applied but the fundamental assumptions cannot be justified. Perhaps the most basic assumption underlying continuum models in electrokinetics is the mean-field approximation, that the electric field acting on each discrete ion is self-consistently determined by the local mean charge density. This paper considers situations where the mean-field approximation breaks down and electrostatic correlations become important. A fourth-order modified Poisson equation is developed that accounts for electrostatic correlations and captures the essential features in a simple continuum framework. The theory is derived variationally as a gradient approximation for non-local electrostatics, in which the dielectric permittivity becomes a differential operator. The only new parameter is a characteristic length scale for correlated ion pairs. The model is able to capture subtle aspects of more detailed simulations based on Monte Carlo, molecular dynamics, or density functional theory and allows for the straightforward calculation of electrokinetic flows in correlated liquids, for the first time. Departures from classical Helmholtz-Smoluchowski theory are controlled by the dimensionless ratio of the correlation length to the Debye screening length. Charge-density oscillations tend to reduce electro-osmotic flow and streaming current, and over-screening of the surface charge can lead to flow reversal. These effects also help to explain the apparent charge-induced thickening of double layers in induced-charge electrokinetic phenomena

Helicoidal minimal surfaces of prescribed genus, I

For every genus g, we prove that S^2 x R contains complete, properly embedded, genus-g minimal surfaces whose two ends are asymptotic to helicoids of any prescribed pitch. We also show that as the radius of the S^2 tends to infinity, these examples converge smoothly to complete, properly embedded minimal surfaces in Euclidean 3-space R^3 that are helicoidal at infinity. In a companion paper, we prove that helicoidal surfaces in R^3 of every prescribed genus occur as such limits of examples in S^2 x R.Comment: 53 pages, 5 figure

Nagata compactification for algebraic spaces

We prove the Nagata compactification theorem for any separated map of finite type between quasi-compact and quasi-separated algebraic spaces, generalizing earlier results of Raoult. Along the way we also prove (and use) absolute noetherian approximation for such algebraic spaces, generalizing earlier results in the case of schemes.Comment: 49 pages, various clarifications and bugfixe

Late Quaternary Mediterranean Outflow Water: implications from radiogenic Nd, Sr, Pb isotopes and clay minerals

Mediterranean Outflow Water (MOW) is characterised by higher temperatures and salinities than other ambient water masses. MOW spreads at water depths between 500 and 1500 m into the eastern North Atlantic and has been a source of salinity for the Atlantic Meridional Overturning Circulation. We used high-resolution Nd and Pb isotope records of past ambient seawater obtained from authigenic ferromanganese coatings of sediments in three gravity cores at 577, 1745 and 1974 m water depths in the Gulf of Cadiz and along the Portuguese margin complemented by a selection of surface sediments to reconstruct the extent and pathways of MOW over the past 23 000 years. In addition, radiogenic Nd, Pb and Sr isotope ratios obtained from total digestion of the residual clay fraction of the leached samples were used to evaluate any changes in the endmember compositions. The surface and downcore seawater Nd isotope data from all water depths exhibit only a very small variability close to the present day composition of MOW but do not reflect the present day Nd isotopic stratification of the water column as determined from a nearby open ocean hydrographic station, which is most likely the consequence of downslope sediment transport in the nepheloid boundary layer as well as the small variations in the Nd endmember compositions. In contrast, the seawater Pb isotope records show significant and systematic variations, which provide evidence for a significantly different pattern of the MOW pathways between 20 000 and 12 000 years ago compared with the subsequent period of time. A deeper situated MOW during the Last Glacial Maximum (LGM) raised during the early deglaciation with its shallowest position around Heinrich event H1, followed by a moderate deepening and the establishment of present-day MOW hydrography. The radiogenic isotope signatures of the residual clay fractions document a pulse of sediment input from the north during Heinrich event H1 around 14.8 ka, but other than that exhibit little varibility over time suggesting surprisingly constant sedimentary endmember compositions and mixing ratios since the LGM

Nucleus: A Pilot Project

Early in 2016, an environmental scan was conducted by the Research Library Data Working Group for three purposes: 1.) Perform a survey of the data management landscape at Los Alamos National Laboratory in order to identify local gaps in data management services. 2.) Conduct an environmental scan of external institutions to benchmark budgets, infrastructure, and personnel dedicated to data management. 3.) Draft a research data infrastructure model that aligns with the current workflow and classification restrictions at Los Alamos National Laboratory. This report is a summary of those activities and the draft for a pilot data management project.Comment: 13 pages, repor