4,051 research outputs found

    Casimir interaction of rod-like particles in a two-dimensional critical system

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    We consider the fluctuation-induced interaction of two thin, rod-like particles or "needles" immersed in a two-dimensional critical fluid of Ising symmetry right at the critical point. Conformally mapping the plane containing the needles onto a simpler geometry in which the stress tensor is known, we analyze the force and torque between needles of arbitrary length, separation, and orientation. For infinite and semi-infinite needles we utilize the mapping of the plane bounded by the needles onto the half plane, and for two needles of finite length the mapping onto an annulus. For semi-infinite and infinite needles the force is expressed in terms of elementary functions, and we also obtain analytical results for the force and torque between needles of finite length with separation much greater than their length. Evaluating formulas in our approach numerically for several needle geometries and surface universality classes, we study the full crossover from small to large values of the separation to length ratio. In these two limits the numerical results agree with results for infinitely long needles and with predictions of the small-particle operator expansion, respectively.Comment: 68 pages, 9 figure

    A Correlation Between Inclination and Color in the Classical Kuiper Belt

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    We have measured broadband optical BVR photometry of 24 Classical and Scattered Kuiper belt objects (KBOs), approximately doubling the published sample of colors for these classes of objects. We find a statistically significant correlation between object color and inclination in the Classical Kuiper belt using our data. The color and inclination correlation increases in significance after the inclusion of additional data points culled from all published works. Apparently, this color and inclination correlation has not been more widely reported because the Plutinos show no such correlation, and thus have been a major contaminant in previous samples. The color and inclination correlation excludes simple origins of color diversity, such as the presence of a coloring agent without regard to dynamical effects. Unfortunately, our current knowledge of the Kuiper belt precludes us from understanding whether the color and inclination trend is due to environmental factors, such as collisional resurfacing, or primordial population effects. A perihelion and color correlation is also evident, although this appears to be a spurious correlation induced by sampling bias, as perihelion and inclination are correlated in the observed sample of KBOs.Comment: Accepted to Astrophysical Journal Letter

    Biomass partitioning and gas exchange parameters in different Musa cultivars as influenced by natural shade

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    Poster presented at Tropentag 2011 Development on the Margin. Bonn (Germany), 3-7 Oct 2011

    First-passage and extreme-value statistics of a particle subject to a constant force plus a random force

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    We consider a particle which moves on the x axis and is subject to a constant force, such as gravity, plus a random force in the form of Gaussian white noise. We analyze the statistics of first arrival at point x1x_1 of a particle which starts at x0x_0 with velocity v0v_0. The probability that the particle has not yet arrived at x1x_1 after a time tt, the mean time of first arrival, and the velocity distribution at first arrival are all considered. We also study the statistics of the first return of the particle to its starting point. Finally, we point out that the extreme-value statistics of the particle and the first-passage statistics are closely related, and we derive the distribution of the maximum displacement m=maxt[x(t)]m={\rm max}_t[x(t)].Comment: Contains an analysis of the extreme-value statistics not included in first versio

    Two-dimensional critical systems with mixed boundary conditions: Exact Ising results from conformal invariance and boundary-operator expansions

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    With conformal-invariance methods, Burkhardt, Guim, and Xue studied the critical Ising model, defined on the upper half plane y>0y>0 with different boundary conditions aa and bb on the negative and positive xx axes. For ab=+ab=-+ and f+f+, they determined the one and two-point averages of the spin σ\sigma and energy ϵ\epsilon. Here ++, -, and ff stand for spin-up, spin-down, and free-spin boundaries, respectively. The case ++++-+-+\dots, where the boundary conditions switch between ++ and - at arbitrary points, ζ1\zeta_1, ζ2\zeta_2, \dots on the xx axis was also analyzed. In this paper the alternating boundary conditions +f+f++f+f+\dots and the case f+-f+ of three different boundary conditions are considered. Exact results for the one and two-point averages of σ\sigma, ϵ\epsilon, and the stress tensor TT are derived. Using the results for T\langle T\rangle, the critical Casimir interaction with the boundary of a wedge-shaped inclusion is analyzed for mixed boundary conditions. The paper also includes a comprehensive discussion of boundary-operator expansions in two-dimensional critical systems with mixed boundary conditions. Two types of expansions - away from switching points of the boundary condition and at switching points - are considered. The asymptotic behavior of two-point averages is expressed in terms of one-point averages with the help of the expansions. We also consider the strip geometry with mixed boundary conditions and derive the distant-wall corrections to one-point averages near one edge due to the other edge using the boundary-operator expansions. The predictions of the boundary-operator expansions are consistent with exact results for Ising systems.Comment: 50 pages, 1 figur

    Scar appearance of different skin and subcutaneous tissue closure techniques in caesarean section: a randomized study

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    OBJECTIVES: To determine the role of skin and subcutaneous space closure in caesarean section on the cosmetic appearance of the scar and the patients' satisfaction. STUDY DESIGN: 153 patients undergoing caesarean section without prior abdominal delivery were included and randomly assigned in a non-blinded study to four different combinations of skin and subcutaneous tissue closure. The scar was assessed after a period of at least 4 months by a self-developed protocol and the patient was asked to complete a survey regarding her satisfaction with the scar. RESULTS: One hundred patients were eligible for long-term evaluation of the scar. Skin closure by either staples or intracutaneous suture in combination with closure or non-closure of the subcutaneous space has a comparable outcome in view of cosmetic outcome and patient satisfaction. CONCLUSIONS: All four methods of skin closure seem to be a reasonable choice in caesarean section because they have comparable cosmetic outcome, do not differ with respect to the patients' satisfaction and bear comparable costs

    Winner-Take-All? Visibility, Availability, and Heterogeneity on Webcam Sex Platforms

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    Online platforms have profoundly changed the organization of work in many economic sectors, and the sex industry is no exception. Webcam sex platforms, in particular, host large and heterogeneous populations of workers who are not formally employed and rely heavily on algorithmic systems to manage this workforce. These systems are often said to produce or reinforce unpredictable and unequal winner-take-all effects, contributing to economic pressure and precarity. Most research trying to empirically assess these claims has focused on single platforms and on the experiences of limited samples of regular workers, excluding more sporadic performers that nonetheless compete for visibility within the same ranking systems. In this article, we seek to address these limitations through a multi-platform study based on systematic ranking data collected by scraping the complete homepages of five webcam platforms over 11 weeks. The article proceeds in four steps. We first discuss existing work on algorithmic workplace management and webcam sex platforms. We then introduce the case studies, present our empirical approach, and discuss ethical considerations. The findings section is organized around two complementary lines of inquiry: an examination of visibility distributions across our sample of websites, as well as their connection with viewer numbers, and an exploration of the relationship between visibility and labor practices, which allows us to link performer availability to ranking outcomes. We conclude by highlighting the substantial differences between these designed marketplaces and discuss repercussions for both webcam sex research and the broader field of platform studies

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    Characteristics of a New Carbonaceous Chondrite, Metal-Rich-Lithology Found in the Carbonaceous Chondrite Breccia Aguas Zarcas

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    The Aguas Zarcas meteorite fell in Costa Rica on 23 April 2019 at 21:07 local time, with a total mass of about 27 kg. Hundreds of fusion-crusted stones ranging from 0.1 to 1868 g were recovered (The Meteoritical Bulletin). The meteorite was classified as a CM chondrite, but some lithlogies show a different texture to that of CM. In this study, we investigated the petrography, mineral-ogy, chemistry, and isotopic composition of an unusual Metal-rich-lithology from this fresh fall
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