24,470 research outputs found

    Barotropic thin shells with linear EOS as models of stars and circumstellar shells in general relativity

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    The spherically symmetric thin shells of the barotropic fluids with the linear equation of state are considered within the frameworks of general relativity. We study several aspects of the shells as completely relativistic models of stars, first of all the neutron stars and white dwarfs, and circumstellar shells. The exact equations of motion of the shells are obtained. Also we calculate the parameters of the equilibrium configurations, including the radii of static shells. Finally, we study the stability of the equilibrium shells against radial perturbations.Comment: final version; ps-version of figure is available by email request to [email protected]

    Nonlinear Blend Scheduling via Inventory Pinch-based Algorithm using Discrete- and Continuous-time Models

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    This work uses multi-period, inventory pinch-based algorithm with continuous-time model (MPIP-C algorithm1) for scheduling linear or nonlinear blending processes. MPIP-C decomposes the scheduling problem into (i) approximate scheduling and (ii) detailed scheduling. Approximate scheduling model is further decomposed into two parts: a 1st level model which optimizes nonlinear blend models (with time periods delineated by inventory pinch points), and a 2nd level multi-period mixed-integer linear programming model (which uses fixed blend recipes from the 1st level solution) to determine optimal production plan and swing storage allocation, while minimizing the number of blend instances and product changeovers in the swing tanks. The 3rd level computes schedules using a continuous-time model including constraints based on the short-term plan solution. Nonlinear constraints are used for the Reid vapor pressure in our case studies. Excellent computational performance is illustrated by comparisons with previous approach with discrete-time scheduling model

    There’s No “Me” in “Imgur”: Applying SIDE Theory and Content Analysis to Viral Posts on Imgur.com

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    The Social Identity model of Deindividuation Effects (SIDE) asserts that social (i.e., collective) identities are more salient under conditions of anonymity, prompting “deindividuation” as group members place more focus on community standards and downplay individual differences. As a result of deindividuation, social standards become the driving force of group interaction, and the successful practice of group norms identify individuals’ in-group status while reinforcing the social identity of the community. The current study applies the SIDE model to the anonymous image-sharing platform Imgur.com to ascertain whether self-referential posts are assessed more negatively than other-referential and non-directed content, and to examine whether posts of varying referential-type occur more frequently across post-type subcategories. A content analysis of 42 posts to Imgur’s “front page” revealed that self-referential posts receive significantly more “downvotes” (i.e., negative assessments) than non-directed content and substantially more downvotes compared to other-referential posts. Further, self-referential content was most common within the subcategories of “capitalizing” and “social support,” as compared to “community identification” and “information / mobilization” for other-referential, and “visually appealing” and “humor” for non-directed posts. The findings suggest that the Imgur community engages in voting habits that favor the maintenance of social identity over the sharing of individuating information, providing sustained support for the applicability of SIDE in anonymous online contexts such as Imgur

    Mass of perfect fluid black shells

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    The spherically symmetric singular perfect fluid shells are considered for the case of their radii being equal to the event horizon (the black shells). We study their observable masses, depending at least on the three parameters, viz., the square speed of sound in the shell, instantaneous radial velocity of the shell at a moment when it reaches the horizon, and integration constant related to surface mass density. We discuss the features of black shells depending on an equation of state.Comment: 1 figure, LaTeX; final version + FA

    Random solids and random solidification: What can be learned by exploring systems obeying permanent random constraints?

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    In many interesting physical settings, such as the vulcanization of rubber, the introduction of permanent random constraints between the constituents of a homogeneous fluid can cause a phase transition to a random solid state. In this random solid state, particles are permanently but randomly localized in space, and a rigidity to shear deformations emerges. Owing to the permanence of the random constraints, this phase transition is an equilibrium transition, which confers on it a simplicity (at least relative to the conventional glass transition) in the sense that it is amenable to established techniques of equilibrium statistical mechanics. In this Paper I shall review recent developments in the theory of random solidification for systems obeying permanent random constraints, with the aim of bringing to the fore the similarities and differences between such systems and those exhibiting the conventional glass transition. I shall also report new results, obtained in collaboration with Weiqun Peng, on equilibrium correlations and susceptibilities that signal the approach of the random solidification transition, discussing the physical interpretation and values of these quantities both at the Gaussian level of approximation and, via a renormalization-group approach, beyond.Comment: Paper presented at the "Unifying Concepts in Glass Physics" workshop, International Centre for Theoretical Physics, Trieste, Italy (September 15-18, 1999
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