1,138 research outputs found

    Chemical sensor and coating for same

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    A chemical sensor utilizing a substrate and a fluoropolymer coating is disclosed. Transducers may be connected to the substrate to generate an alternating potential across the substrate, which in turn causes the substrate to resonate due to the converse piezoelectric effect. The polymer coating absorbs the analyte, thus changing the mass of the sensor, and accordingly changing its resonant frequency. The transducers detect this change in resonant frequency to indicate to the operator that the analyte is present. The use of amorphous copolymers of 2,2-bistrifluoromethyl-4,5-difluoro-1,3-dioxole (PDD), and tetrafluoroethylene (TFE) allows for improved sensitivity and responsiveness while also allowing for robust characteristics enabling the sensor to be used in a variety of environmental conditions

    One-loop Structure of Higher Rank Wilson Loops in AdS/CFT

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    The half-supersymmetric Wilson loop in N=4\mathcal N=4 SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of SU(N)SU(N) are captured to all orders in perturbation theory by a Gaussian matrix model. Of prominent interest are the kk-symmetric and kk-antisymmetric representations, whose gravitational description is given in terms of D3- and D5-branes, respectively, with fluxes in their world volumes. At leading order in NN and λ\lambda the agreement in both cases is exact. In this note we explore the structure of the next-to-leading order correction in the matrix model and compare with existing string theory calculations. We find agreement in the functional dependence on kk but a mismatch in the numerical coefficients.Comment: 5 pages, one figure. v2: A crucial minus sign acknowledged; agreement now claimed only at the functional level. Changes in abstract and tex
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