61,200 research outputs found

    Mobile impurities in integrable models

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    We use a mobile impurity or depleton model to study elementary excitations in one-dimensional integrable systems. For Lieb-Liniger and bosonic Yang-Gaudin models we express two phenomenological parameters characterising renormalised inter- actions of mobile impurities with superfluid background: the number of depleted particles, NN and the superfluid phase drop πJ\pi J in terms of the corresponding Bethe Ansatz solution and demonstrate, in the leading order, the absence of two-phonon scattering resulting in vanishing rates of inelastic processes such as viscosity experienced by the mobile impuritiesComment: 25 pages, minor corrections made to the manuscrip

    Boundary Spanning in Academia: Antecedents and Near-Term Consequences of Academic Entrepreneurialism

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    Analyzing the pathways of people who earned interdisciplinary research doctorates in the United States in 2010, we generate three main findings while controlling for gender, ethnicity, discipline, and age. First, individuals who complete an interdisciplinary dissertation display near-term income risk since they tend to earn nearly $1,700 less in the year after graduation. Second, students whose fathers earned a college degree demonstrated a .8% higher probability of pursuing interdisciplinary research. Third, the probability that non-citizens pursue interdisciplinary dissertation work is 4.7% higher when compared with US citizens. Our findings quantify the risks of interdisciplinary work and contribute to policy debates

    The interior structure of rotating black holes 1. Concise derivation

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    This paper presents a concise derivation of a new set of solutions for the interior structure of accreting, rotating black holes. The solutions are conformally stationary, axisymmetric, and conformally separable. Hyper-relativistic counter-streaming between freely-falling collisionless ingoing and outgoing streams leads to mass inflation at the inner horizon, followed by collapse. The solutions fail at an exponentially tiny radius, where the rotational motion of the streams becomes comparable to their radial motion. The papers provide a fully nonlinear, dynamical solution for the interior structure of a rotating black hole from just above the inner horizon inward, down to a tiny scale.Comment: Version 1: 8 pages, 3 figures. Version 2: Extensively revised to emphasize the derivation of the solution rather than the solution itself. 11 pages, 4 figures. Version 3: Minor changes to match published version. Mathematica notebook available at http://jila.colorado.edu/~ajsh/rotatinginflationary/rotatinginflationary.n
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