4,058 research outputs found

    Book Review: The Courage to Teach by Parker Palmer

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    Written to Me Upon Getting a B in Linear Algebra

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    Capacitive sensing of droplets for microfluidic devices based on thermocapillary actuation

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    The design and performance of a miniaturized coplanar capacitive sensor is presented whose electrode arrays can also function as resistive microheaters for thermocapillary actuation of liquid films and droplets. Optimal compromise between large capacitive signal and high spatial resolution is obtained for electrode widths comparable to the liquid film thickness measured, in agreement with supporting numerical simulations which include mutual capacitance effects. An interdigitated, variable width design, allowing for wider central electrodes, increases the capacitive signal for liquid structures with non-uniform height profiles. The capacitive resolution and time response of the current design is approximately 0.03 pF and 10 ms, respectively, which makes possible a number of sensing functions for nanoliter droplets. These include detection of droplet position, size, composition or percentage water uptake for hygroscopic liquids. Its rapid response time allows measurements of the rate of mass loss in evaporating droplets

    Ode to Mathematics

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    Dipole-dipole interaction between orthogonal dipole moments in time-dependent geometries

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    In two nearby atoms, the dipole-dipole interaction can couple transitions with orthogonal dipole moments. This orthogonal coupling accounts for a number of interesting effects, but strongly depends on the geometry of the setup. Here, we discuss several setups of interest where the geometry is not fixed, such as particles in a trap or gases, by averaging over different sets of geometries. Two averaging methods are compared. In the first method, it is assumed that the internal electronic evolution is much faster than the change of geometry, whereas in the second, it is vice versa. We find that the orthogonal coupling typically survives even extensive averaging over different geometries, albeit with qualitatively different results for the two averaging methods. Typically, one- and two-dimensional averaging ranges modelling, e.g., low-dimensional gases, turn out to be the most promising model systems.Comment: 11 pages, 14 figure

    Book Review: Women in Mathematics by Claudia Henrion

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    Lessons Learned: Greg Feldberg

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    Greg Feldberg was a senior supervisory financial analyst at the Board of Governors of the Federal Reserve experienced in regulating large banks when he was recruited to the Financial Crisis Inquiry Commission (FCIC) where he worked from 2010-11, becoming its Director of Research. The FCIC was a bipartisan commission charged with investigating the causes of the global financial crisis of 2007-09. Feldberg shared thoughts about some of the challenges faced by the commission and why its report is important. This Lessons Learned is based on an interview with Mr. Feldberg
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