303 research outputs found

    Pyrite suns: Unique mineral treasures of Illinois

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    Selection of an internet content filtering solution using the analytic hierarchy process

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    This talk describes the selection of an Internet Content Filtering solution suitable for the specific requirements of the Waikato Institute of Technology (Wintec). Product data was collected from a variety of sources including: vendor product datasheets, industry benchmark tests, the experiences of other institutions and the academic literature. The available solutions were compared using the Analytic Hierarchy Process (Saaty 1980), a multicriteria decision support tool, using the above data and priority weightings determined for each criterion

    Nonequilibrium fluctuation dissipation relations of interacting Brownian particles driven by shear

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    We present a detailed analysis of the fluctuation dissipation theorem (FDT) close to the glass transition in colloidal suspensions under steady shear using mode coupling approximations. Starting point is the many-particle Smoluchowski equation. Under shear, detailed balance is broken and the response functions in the stationary state are smaller at long times than estimated from the equilibrium FDT. An asymptotically constant relation connects response and fluctuations during the shear driven decay, restoring the form of the FDT with, however, a ratio different from the equilibrium one. At short times, the equilibrium FDT holds. We follow two independent approaches whose results are in qualitative agreement. To discuss the derived fluctuation dissipation ratios, we show an exact reformulation of the susceptibility which contains not the full Smoluchowski operator as in equilibrium, but only its well defined Hermitian part. This Hermitian part can be interpreted as governing the dynamics in the frame comoving with the probability current. We present a simple toy model which illustrates the FDT violation in the sheared colloidal system.Comment: 21 pages, 13 figures, submitted to Phys. Rev.

    Availability of the Colchester coal for mining in northern and western Illinois

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    Includes bibliographical references (p. 17-19).This report is the fourth in a series to assess the availability of coal resources for future mining in Illinois.Coal resource classification system. -- Sources of data, limitations and mapping procedures. -- Geology and mining: Colchester coal: floor and roof stratigraphy. -- Coal quality. -- Quadrangle studies

    The proximity of underground mines to urban and developed lands in Illinois

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    Includes bibliographical references (p. 12)

    Delineation of the coalbed methane resources of Illinois

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    Illinois Department of Commerce and Economic OpportunityOpe

    Analytical Results for a Hole in an Antiferromagnet

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    The Green's function for a hole moving in an antiferromagnet is derived analytically in the long-wavelength limit. We find that the infrared divergence is eliminated in two and higher dimensions so that the quasiparticle weight is finite. Our results also suggest that the hole motion is polaronic in nature with a bandwidth proportional to t/Jexp[c(t/J)2]t/J \exp [-c (t/J)^2] (cc is a constant). The connection of the long-wavelength approximation to the first-order approximation in the cumulant expansion is also clarified.Comment: 12 papes, 2 figures available upon request, revte

    Self-diffusion in dense granular shear flows

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    Diffusivity is a key quantity in describing velocity fluctuations in granular materials. These fluctuations are the basis of many thermodynamic and hydrodynamic models which aim to provide a statistical description of granular systems. We present experimental results on diffusivity in dense, granular shear in a 2D Couette geometry. We find that self-diffusivities are proportional to the local shear rate with diffusivities along the mean flow approximately twice as large as those in the perpendicular direction. The magnitude of the diffusivity is D \approx \dot\gamma a^2 where a is the particle radius. However, the gradient in shear rate, coupling to the mean flow, and drag at the moving boundary lead to particle displacements that can appear sub- or super-diffusive. In particular, diffusion appears superdiffusive along the mean flow direction due to Taylor dispersion effects and subdiffusive along the perpendicular direction due to the gradient in shear rate. The anisotropic force network leads to an additional anisotropy in the diffusivity that is a property of dense systems with no obvious analog in rapid flows. Specifically, the diffusivity is supressed along the direction of the strong force network. A simple random walk simulation reproduces the key features of the data, such as the apparent superdiffusive and subdiffusive behavior arising from the mean flow, confirming the underlying diffusive motion. The additional anisotropy is not observed in the simulation since the strong force network is not included. Examples of correlated motion, such as transient vortices, and Levy flights are also observed. Although correlated motion creates velocity fields qualitatively different from Brownian motion and can introduce non-diffusive effects, on average the system appears simply diffusive.Comment: 13 pages, 20 figures (accepted to Phys. Rev. E
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