Self-diffusion in remodelling and growth

Self-diffusion, or the flux of mass of a single species within itself, is viewed as an independent phenomenon amenable to treatment by the introduction of an auxiliary field of diffusion velocities. The theory is shown to be heuristically derivable as a limiting case of that of an ordinary binary mixture

The Best for Last: The Timing of U.S. Supreme Court Decisions

This Article investigates the hypothesis that the most important and, often, controversial and divisive cases—so called big cases—are disproportionately decided at the end of June. We define a big case in one of four ways: front-page coverage in the New York Times; front-page and other coverage in four national newspapers (the New York Times, Los Angeles Times, Washington Post, and Chicago Tribune); the number of amicus curiae briefs filed in a case; and the number of subsequent citations by the Supreme Court to its decision in a case. We find a statistically significant association between each measure of a big case and end-of-term decisions even after controlling for the month of oral argument (cases argued later in the term are more likely to be decided near the end of the term) and case attributes (e.g., dissents and concurrences) that increase the time it takes to decide a case. We also speculate on why big cases cluster at the end of the term. One possibility is legacy and reputational concerns: when writing what they think will be a major decision, the Justices and their law clerks take more time polishing until the last minute with the hope of promoting their reputations. Another is that the end-of-term clustering of the most important cases may tend to diffuse media coverage of and other commentary regarding any particular case, and thus spare the Justices unwanted criticism just before they leave Washington for their summer recess

Beyond the RCT: Integrating Rigor and Relevance to Evaluate the Outcomes of Domestic Violence Programs

Programs for domestic violence (DV) victims and their families have grown exponentially over the last four decades. The evidence demonstrating the extent of their effectiveness, however, often has been criticized as stemming from studies lacking scientific rigor. A core reason for this critique is the widespread belief that credible evidence can derive only from research grounded in randomized control trials (RCTs). Although the RCT method has its strengths, we argue that it is rarely an optimal—or even a possible—approach for evaluating multifaceted DV programs. This article reviews the reasons that RCT is a poor fit for such programs and argues that a more inclusive conceptualization of credible evidence is critical to expanding our knowledge base about how DV programs affect survivors’ safety and well-being

An analytically solvable model of probabilistic network dynamics

We present a simple model of network dynamics that can be solved analytically for uniform networks. We obtain the dynamics of response of the system to perturbations. The analytical solution is an excellent approximation for random networks. A comparison with the scale-free network, though qualitatively similar, shows the effect of distinct topology.Comment: 4 pages, 1 figur

Instability and spatiotemporal rheochaos in a shear-thickening fluid model

We model a shear-thickening fluid that combines a tendency to form inhomogeneous, shear-banded flows with a slow relaxational dynamics for fluid microstructure. The interplay between these factors gives rich dynamics, with periodic regimes (oscillating bands, travelling bands, and more complex oscillations) and spatiotemporal rheochaos. These phenomena, arising from constitutive nonlinearity not inertia, can occur even when the steady-state flow curve is monotonic. Our model also shows rheochaos in a low-dimensional truncation where sharply defined shear bands cannot form