POWRE: Driven Nonequilibrium Systems with Quenched Disorder: A Renormalization-Group Study

This theory project develops a position-space renormalization-group approach to study driven diffusive lattice gases; the theory will be modified and applied to interacting cases and systems with quenched randomness. Systems driven far from equilibrium are prevalent in nature and particularly challenging with respect to fundamental understanding and property prediction. The models to be studied in this project are simple prototypes related to a variety of complex systems such as biological populations, binary fluid flow through random media, and fast ionic conductors. This is a research enhancement grant made under the Professional Opportunities for Women in Research and Education (POWRE) program. The research will contribute basic materials science knowledge at a fundamental level. An important feature of the program is the integration of research and education through undergraduate student participation in research

Making Sense of the Legendre Transform

The Legendre transform is an important tool in theoretical physics, playing a critical role in classical mechanics, statistical mechanics, and thermodynamics. Yet, in typical undergraduate or graduate courses, the power of motivation and elegance of the method are often missing, unlike the treatments frequently enjoyed by Fourier transforms. We review and modify the presentation of Legendre transforms in a way that explicates the formal mathematics, resulting in manifestly symmetric equations, thereby clarifying the structure of the transform algebraically and geometrically. Then we bring in the physics to motivate the transform as a way of choosing independent variables that are more easily controlled. We demonstrate how the Legendre transform arises naturally from statistical mechanics and show how the use of dimensionless thermodynamic potentials leads to more natural and symmetric relations.Comment: 11 pages, 3 figure

A Position-Space Renormalization-Group Approach for Driven Diffusive Systems Applied to the Asymmetric Exclusion Model

This paper introduces a position-space renormalization-group approach for nonequilibrium systems and applies the method to a driven stochastic one-dimensional gas with open boundaries. The dynamics are characterized by three parameters: the probability $\alpha$ that a particle will flow into the chain to the leftmost site, the probability $\beta$ that a particle will flow out from the rightmost site, and the probability $p$ that a particle will jump to the right if the site to the right is empty. The renormalization-group procedure is conducted within the space of these transition probabilities, which are relevant to the system's dynamics. The method yields a critical point at $\alpha_c=\beta_c=1/2$,in agreement with the exact values, and the critical exponent $\nu=2.71$, as compared with the exact value $\nu=2.00$.Comment: 14 pages, 4 figure

Conference 2008 - Integrating Science and Mathematics Education Research into Teaching IV: Resources and Tool for Improved Learning

The Center for Science and Mathematics Education at the University of Maine continues its series of national conferences on providing professional development and resources for integrating mathematics and science education research into teaching. The first part of the conference consists of three days of parallel presentations and discussions by nationally recognized experts along with short workshops. The workshops provide first hand experience with either research-based STEM curricula or cutting edge STEM research projects that can serve as a basis for classroom instruction. The purposes of the conference include bringing together 150 participants in all aspects of STEM education (researchers, teachers, administrators, and preservice students) to exchange ideas about research, curriculum and assessment, to help teachers integrate research based instructional strategies in their teaching, and to build sustainable collaborations between participants. The second part of the conference is a two day summer academy in which about 60 participants have the option of (1) working on implementing a module of technology-rich curriculum in their classroom; (2) developing plans, curricular materials and assessments for involving teachers and students in a STEM research project; or (3) adapting and implementing a research-supported curriculum in their teaching. The academy continues throughput the year. A focus on research-based strategies that advance the successful participation of underrepresented groups is embedded in all activities

Integrating Science and Mathematics Education Research into Teaching: A Conference for Students, Teachers and University Faculty in Science, Mathematics, and Related Fields

This proposal from the University of Maine Center for Science and Mathematics Education is a request for a TPC Conference/Symposium to fund a six-day national conference and summer academy entitled Integrating Science and Mathematics Education Research into Teaching. The purposes of the conference are: (1) to bring together all participants in the science and mathematics education research enterprise (teachers, administrators, scientists and mathematicians, education faculty, future teachers) to exchange ideas about research and curriculum innovation ongoing in their fields; and (2) help teachers integrate research-based instructional strategies, particularly those that depend on innovative uses of technology, into their teaching practices

Phase Transitions in Chemisorbed Systems

Contains reports on two research projects.Joint Services Electronics Program (Contract DAALO3-86-K-0002

Single agglutinates: A comparative study of compositions of agglutinitic glass, whole-grain, bulk soil, and FMR

Previous workers on single agglutinates have variously interpreted the composition of agglutinitic glass to represent impact melts of (1) bulk soil, (2) mixed components in finer sizes, and (3) microtargets. Separately, Papike has argued in favor of fusion of the finest fraction of bulk soils. Thirty-four single agglutinates were hand-picked from the mature Apollo 16 soil 61181 (I(sub s)/FeO = 82) and the FMR and chemical composition (INAA for Fe, Sc, Sm, Co, Ni, and Cr) of each agglutinate particle were measured. Thirteen of these single agglutinates were selected for electron beam microanalysis and imaging. Less than 1 micron spots were analyzed (for Na, Mg, Al, Si, P, S, K, Ca, Ti, Cr, Mn, Fe, Ni, and Ba) on pure glassy areas (approximately ten in each particle) selected on the basis of optical and BSE images (avoiding all clasts and inclusions) with an electron microprobe to obtain average glass compositions of each single agglutinate

Cow-Calf Producers’ Willingness to Pay for Bulls Resistant to Horn Flies (Diptera: Muscidae)

Horn flies (Haematobia irritans (L.)) have long posed animal health and welfare concerns. Economic losses to the cattle and dairy industries from their blood-feeding behavior include decreased weight gain, loss in milk productivity, and transmission of bacteria causing mastitis in cattle. Horn fly management strategies are labor intensive and can become ineffective due to the horn fly’s ability to develop insecticide resistance. Research indicates that for some cattle herds, genetically similar animals consistently have fewer flies suggesting those animals are horn fly resistant (HFR) and that the trait is heritable; however, it is currently unknown if cattle producers value this trait. Tennessee and Texas cow-calf producers were surveyed to estimate their willingness to pay for HFR bulls and to identify the factors affecting their decision to adopt a HFR bull in their herds. Results indicate that Tennessee and Texas cow-calf producers were willing to pay a premium of 51% and 59% above the base price, respectively, for a HFR bull with the intent to control horn flies within their herd. Producer perceptions of horn fly intensities and the HFR trait, along with their pest management practices, were factors that affected Tennessee and Texas producer willingness to adopt a HFR bull. In Texas, demographics of the producers and their farms also had a role. Knowing producers are willing to pay a premium for the HFR bull indicates that producers value the HFR trait and warrants additional research on the development, implementation, and assessment of the trait

Phase Transitions in Chemisorbed Systems

Contains reports on six research projects.Joint Services Electronics Program (Contract DAAG29-83-K-0003