Phase behavior of a fluid with competing attractive and repulsive interactions

Fluids in which the interparticle potential has a hard core, is attractive at moderate separations, and repulsive at greater separations are known to exhibit novel phase behavior, including stable inhomogeneous phases. Here we report a joint simulation and theoretical study of such a fluid, focusing on the relationship between the liquid-vapor transition line and any new phases. The phase diagram is studied as a function of the amplitude of the attraction for a certain fixed amplitude of the long ranged repulsion. We find that the effect of the repulsion is to substitute the liquid-vapor critical point and a portion of the associated liquid-vapor transition line, by two first order transitions. One of these transitions separates the vapor from a fluid of spherical liquidlike clusters; the other separates the liquid from a fluid of spherical voids. At low temperature, the two transition lines intersect one another and a vapor-liquid transition line at a triple point. While most integral equation theories are unable to describe the new phase transitions, the Percus Yevick approximation does succeed in capturing the vapor-cluster transition, as well as aspects of the structure of the cluster fluid, in reasonable agreement with the simulation results.Comment: 15 pages, 20 figure

X-Ray Diffraction and Reflectance Spectroscopy of Murchison Powders (CM2) After Thermal Analysis Under Reducing Conditions to Final Temperatures Between 300 and 1300c

The asteroids Ryugu and Bennu have spectral characteristics in common with CI/CM type carbonaceous chondrites and are target bodies for JAXAs Hayabusa2 and NASAs OSIRIS-Rex missions, respectively. Analog studies, based primarily on the Murchison CM2 chondrite, provide a pathway to separate spectral properties resulting space weathering from those inherent to parent-body, mineralogy, chemistry, and processes. Ryugu shares spectral properties with thermally metamorphosed and partly dehydrated CI/CM chondrites. We have undertaken a multidisciplinary study of the thermal decomposition of Murchison powder samples as an analog to metamorphic process that may have occurred on Ryugu. Bulk analyses include thermal And evolved gas analysis, X-ray diffraction (XRD), and VIS-NIR and Mssbauer spectroscopy; micro- to nanoscale analyses included scanning and transmission electron microscopy and electron probe micro analysisWe report here XRD and VIS-NIR analyses of pre- and post-heated Murchison powders, and in a companion paper report results from multiple electron beam techniques

Glacial CO 2 cycle as a succession of key physical and biogeochemical processes

During glacial-interglacial cycles, atmospheric CO2 concentration varied by about 100 ppmv in amplitude. While testing mechanisms that have led to the low glacial CO2 level could be done in equilibrium model experiments, an ultimate goal is to explain CO2 changes in transient simulations through the complete glacial-interglacial cycle. The computationally efficient Earth System model of intermediate complexity CLIMBER-2 is used to simulate global biogeochemistry over the last glacial cycle (126 kyr). The physical core of the model (atmosphere, ocean, land and ice sheets) is driven by orbital changes and reconstructed radiative forcing from greenhouses gases, ice, and aeolian dust. The carbon cycle model is able to reproduce the main features of the CO2 changes: a 50 ppmv CO2 drop during glacial inception, a minimum concentration at the last glacial maximum 80 ppmv lower than the Holocene value, and an abrupt 60 ppmv CO2 rise during the deglaciation. The model deep ocean δ13C also resembles reconstructions from deep-sea cores. The main drivers of atmospheric CO2 evolve in time: changes in sea surface temperatures and in the volume of bottom water of southern origin control atmospheric CO2 during the glacial inception and deglaciation; changes in carbonate chemistry and marine biology are dominant during the first and second parts of the glacial cycle, respectively. These feedback mechanisms could also significantly impact the ultimate climate response to the anthropogenic perturbation

The Diversity Imperative Revisited: Racial and Gender Inclusion in Clinical Law Faculty

The demographics of clinical law faculties matter. As Professor Jon Dubin persuasively argued nearly twenty years ago in his article Faculty Diversity as a Clinical Legal Education Imperative, clinical faculty of color entering the legal academy in the 1980s and 1990s expanded the communities served by law school clinics and the lawyering methods used to serve clients in significant ways that enriched legal education and the profession. They also broadened clinical scholarship to include deconstructions and reconstructions of clinical teaching, offered crucial role modeling and mentorship to students of color, and helped to elevate cross-cultural communication and multiracial collaboration as core lawyering skills. Professor Dubin catalogued these contributions while pointing to data that showed that clinical faculties remained overwhelmingly White, and he urged law schools to recognize the urgency of diversifying clinical faculty. While there has been some research and scholarship devoted to the gender composition of clinical faculties, to our knowledge, there has been no substantive reexamination of the importance of racial composition since Professor Dubin’s article in 2000, nor any examination of clinical faculty diversity beyond race, ethnicity, and binary gender. The Clinical Legal Education Association created the Committee for Faculty Equity and Inclusion to draw attention to the crisis of diversity among clinical faculties, and to urge law schools to take proactive steps to remedy this longstanding failure. This Essay from the Committee assesses what progress has been made since Professor Dubin’s intervention and interrogates historical trends in the racial and gender composition of clinical faculty from 1980 to 2017, using existing data. We found that there has been limited progress on racial and ethnic inclusion in clinical law faculties. While the total percentage of people of color has grown from 10% to 21%, the inclusion of Black, Latinx, and Indigenous faculty has been largely stagnant. Black clinical faculty members reached 7% of all clinical faculty in 1999 and have never exceeded that percentage. Latinx clinical faculty representation, at 5%, is the same as it was in 1981. Indigenous faculty have never constituted even 1%. Overall, White faculty continue to hold nearly 8 out of 10 clinical faculty positions. With regard to gender, whereas women were underrepresented among clinical faculty in the 1980s, women now outnumber men in clinical faculty positions by nearly 2 to 1. Given that women remain underrepresented in law faculties as a whole, this seemingly positive development in the gender composition of clinical instructors nonetheless raises concerns about internal status inequities and the clustering of women faculty members in non-tenured positions with lower salaries and less job protection, including on clinical, legal research and writing and library faculties. Therefore, this trend may be a cautionary tale for the inclusion of other underrepresented groups moving forward. Acknowledging the limitations of existing data, we offer recommendations for future data collection that would recognize more inclusive identities and backgrounds. We suggest that future research assess job satisfaction and sustainability of faculty positions for people from historically disadvantaged groups to ensure that we are not just providing access to clinical law faculties, but also offering equitable and supportive working environments. New research will be crucial to developing a more meaningful understanding of inequities among clinical faculty, and to assessing equity and inclusion beyond descriptive representation. We conclude with a discussion of best practices for inclusive clinical faculty hiring and suggestions for future initiatives that may make the profession more accessible. Looking back on Professor Dubin’s arguments, we are disheartened by the lack of subsequent scholarship on clinical faculty diversity, particularly with regard to racial and ethnic representation. We are concerned that it reflects a degree of complacency with structural racism at our own institutions and a failure to recognize the dissonance between the values we promote in our lawyering and our participation in maintaining barriers to the profession. We hope this Essay will disrupt that complacency and revive Professor Dubin’s arguments for a diversity imperative, which are even more resonant in the current moment

Truthful Multi-unit Procurements with Budgets

We study procurement games where each seller supplies multiple units of his item, with a cost per unit known only to him. The buyer can purchase any number of units from each seller, values different combinations of the items differently, and has a budget for his total payment. For a special class of procurement games, the {\em bounded knapsack} problem, we show that no universally truthful budget-feasible mechanism can approximate the optimal value of the buyer within $\ln n$, where $n$ is the total number of units of all items available. We then construct a polynomial-time mechanism that gives a $4(1+\ln n)$-approximation for procurement games with {\em concave additive valuations}, which include bounded knapsack as a special case. Our mechanism is thus optimal up to a constant factor. Moreover, for the bounded knapsack problem, given the well-known FPTAS, our results imply there is a provable gap between the optimization domain and the mechanism design domain. Finally, for procurement games with {\em sub-additive valuations}, we construct a universally truthful budget-feasible mechanism that gives an $O(\frac{\log^2 n}{\log \log n})$-approximation in polynomial time with a demand oracle.Comment: To appear at WINE 201

Reply to Comment on "Cosmic rays, carbon dioxide, and climate"

In our analysis [Rahmstorf et al., 2004], we arrived at two main conclusions: the data of Shaviv and Veizer [2003] do not show a significant correlation of cosmic ray flux (CRF) and climate, and the authors' estimate of climate sensitivity to CO2 based on a simple regression analysis is questionable. After careful consideration of Shaviv and Veizer's comment, we want to uphold and reaffirm these conclusions. Concerning the question of correlation, we pointed out that a correlation arose only after several adjustments to the data, including shifting one of the four CRF peaks and stretching the time scale. To calculate statistical significance, we first need to compute the number of independent data points in the CRF and temperature curves being correlated, accounting for their autocorrelation. A standard estimate [Quenouille, 1952] of the number of effective data points is urn:x-wiley:00963941:media:eost14930:eost14930-math-0001 where N is the total number of data points and r1, r2 are the autocorrelations of the two series. For the curves of Shaviv and Veizer [2003], the result is NEFF = 4.8. This is consistent with the fact that these are smooth curves with four humps, and with the fact that for CRF the position of the four peaks is determined by four spiral arm crossings or four meteorite clusters, respectively; that is, by four independent data points. The number of points that enter the calculation of statistical significance of a linear correlation is (NEFF− 2), since any curves based on only two points show perfect correlation; at least three independent points are needed for a meaningful result

Calcutta Botanic Garden and the colonial re-ordering of the Indian environment

This article examines three hand-painted colour maps that accompanied the annual report of the Calcutta Botanic Garden for 1846 to illustrate how the Garden’s layout, uses and functions had changed over the previous 30 years. The evolution of the Calcutta Botanic Garden in the first half of the nineteenth-century reflects a wider shift in attitudes regarding the relationship between science, empire and the natural world. On a more human level the maps result from, and illustrate, the development of a vicious personal feud between the two eminent colonial botanists charged with superintending the garden in the 1840s

Generation of defects and disorder from deeply quenching a liquid to form a solid

We show how deeply quenching a liquid to temperatures where it is linearly unstable and the crystal is the equilibrium phase often produces crystalline structures with defects and disorder. As the solid phase advances into the liquid phase, the modulations in the density distribution created behind the advancing solidification front do not necessarily have a wavelength that is the same as the equilibrium crystal lattice spacing. This is because in a deep enough quench the front propagation is governed by linear processes, but the crystal lattice spacing is determined by nonlinear terms. The wavelength mismatch can result in significant disorder behind the front that may or may not persist in the latter stage dynamics. We support these observations by presenting results from dynamical density functional theory calculations for simple one- and two-component two-dimensional systems of soft core particles.Comment: 25 pages, 11 figure

Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise

In this letter, we develop a mode-coupling theory for a class of nonlinear Langevin equations with multiplicative noise using a field theoretic formalism. These equations are simplified models of realistic colloidal suspensions. We prove that the derived equations are consistent with the fluctuation-dissipation theorem. We also discuss the generalization of the result given here to real fluids, and the possible description of supercooled fluids in the aging regime. We demonstrate that the standard idealized mode-coupling theory is not consistent with the FDT in a strict field theoretic sense.Comment: 14 pages, to appear in J. Phys.

Higher education, mature students and employment goals: policies and practices in the UK

This article considers recent policies of Higher Education in the UK, which are aimed at widening participation and meeting the needs of employers. The focus is on the growing population of part-time students, and the implications of policies for this group. The article takes a critical perspective on government policies, using data from a major study of mature part-time students, conducted in two specialist institutions in the UK, a London University college and a distance learning university. Findings from this study throw doubt on the feasibility of determining a priori what kind of study pathway is most conducive for the individual in terms of employment gains and opportunities for upward social mobility. In conclusion, doubts are raised as to whether policies such as those of the present UK government are likely to achieve its aims. Such policies are not unique to the UK, and lessons from this country are relevant to most of the developed world