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The aggregation of attractive colloids has been extensively studied from both theoretical and experimental perspectives as the fraction of solid particles is changed, and the range, type and strength of attractive or repulsive forces between particles varies. The resulting gels consisting of disordered assemblies of attractive colloidal particles, have also been investigated with regards to percolation, phase separation, and the mechanical characteristics of the resulting fractal networks. Despite tremendous progress in our understanding of the gelation process, and the exploration of different routes for arresting the dynamics of attractive colloids, the complex interplay between convective transport processes and many-body effects in such systems has limited our ability to drive the system towards a specific configuration. Here we study a model attractive colloidal system over a wide range of particle characteristics and flow conditions undergoing aggregation far from equilibrium. The complex multiscale dynamics of the system can be understood using a Time-Rate-Transformation diagram adapted from understanding of materials processing in block copolymers, supercooled liquids and much stiffer glassy metals to direct targeted assembly of attractive colloidal particles.

We identify the sequence of microstructural changes that characterize the evolution of an attractive particulate gel under flow and discuss their implications on macroscopic rheology. Dissipative Particle Dynamics (DPD) is used to monitor shear-driven evolution of a fabric tensor constructed from the ensemble spatial configuration of individual attractive constituents within the gel. By decomposing this tensor into isotropic and non-isotropic components we show that the average coordination number correlates directly with the flow curve of the shear stress vs. shear rate, consistent with theoretical predictions for attractive systems. We show that the evolution in non-isotropic local particle rearrangements are primarily responsible for stress overshoots (strain-hardening) at the inception of steady shear flow and also lead, at larger times and longer scales, to microstructural localization phenomena such as shear banding flow-induced structure formation in the vorticity direction., Comment: 15 pages, 4 figures

We present a characterization of short-term stability of random Boolean networks under \emph{arbitrary} distributions of transfer functions. Given any distribution of transfer functions for a random Boolean network, we present a formula that decides whether short-term chaos (damage spreading) will happen. We provide a formal proof for this formula, and empirically show that its predictions are accurate. Previous work only works for special cases of balanced families. It has been observed that these characterizations fail for unbalanced families, yet such families are widespread in real biological networks.

We present a rigorous mathematical framework for analyzing dynamics of a broad class of Boolean network models. We use this framework to provide the first formal proof of many of the standard critical transition results in Boolean network analysis, and offer analogous characterizations for novel classes of random Boolean networks. We precisely connect the short-run dynamic behavior of a Boolean network to the average influence of the transfer functions. We show that some of the assumptions traditionally made in the more common mean-field analysis of Boolean networks do not hold in general. For example, we offer some evidence that imbalance, or expected internal inhomogeneity, of transfer functions is a crucial feature that tends to drive quiescent behavior far more strongly than previously observed., Comment: To appear as a Letter in Physical Review Letters 8 pages, 4 figures

According to the National Science Foundation, of the more than 4 million first university degrees awarded in science and engineering in 2006, students in China earned about 21%, those in the European Union earned about 19%, and those in the United States earned about 11%. Statistics like these are of great interest to NASA's Ares Projects, which are responsible for building the rockets for the U.S. Constellation Program to send humans beyond low-Earth orbit. Science, technology, engineering, and mathematics students are essential for the long-term sustainability of any space program. Since the Projects creation, the Ares Outreach Team has used a variety of STEM-related media, methods, and materials to engage students, educators, and the general public in Constellation's mission. Like Project Apollo, the nation s exploration destinations and the vehicles used to get there can inspire students to learn more about STEM. Ares has been particularly active in public outreach to schools in Northern Alabama; on the Internet via outreach and grade-specific educational materials; and in more informal social media settings such as YouTube and Facebook. These combined efforts remain integral to America s space program, regardless of its future direction.

The National Aeronautics and Space Administration (NASA) and its industry partners are making measurable progress toward delivering new human space transportation capabilities to serve as the catalyst for a new era of discovery, as directed by the U.S. Vision for Space Exploration. In the interest of ensuring prolonged support, the Agency encourages space advocates of all stripes to accurately portray both the tangible and intangible benefits of space exploration, especially its value for future generations. This may be done not only by emphasizing the nation's return on its aerospace investment, but also by highlighting enabling security features and by promoting the scientific and technological benefits that accrue from the human exploration of space. As America embarks on a new era of leadership and international partnership on the next frontier, we are poised to master space by living off-planet on the Moon to prepare astronauts for longer journeys to Mars. These and other relevant facts should be clearly in the view of influential decision-makers and the American taxpayers, and we must increasingly involve those on whom the long-term sustainability of space exploration ultimately depends: America's youth. This paper will examine three areas of concrete benefits for future generations: fundamental security, economic enterprise, and high-technology advancements spurred by the innovation that scientific discovery demands.

With the graying of the nation's scientific workforce and the decline in students pursuing science, technological, engineering, and math related-studies, real challenges lie ahead if America is to continue to sustain the Vision for Space Exploration in the foreseeable future. Likewise, challenges exist in the economic arena as the United States seeks to maintain its preeminence among the technological leaders of the world. Currently, less than 6 percent of high school seniors are pursuing engineering degrees, down from 36 percent a decade ago. Today, China produces six times as many engineers as does the United States and Japan, at half our population, develops twice as many engineers. Despite spending more per capita on public education than any other nation, except Switzerland, U.S. students of high school age are failing to compete with many foreign countries. These trends do not bode well for America's future competitiveness in space and other technically driven areas, such as defense.