77,846 research outputs found

    Elliptic Flow from a Transversally Thermalized Fireball

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    The agreement of elliptic flow data at RHIC at central rapidity with the hydrodynamic model has led to the conclusion of very rapid thermalization. This conclusion is based on the intuitive argument that hydrodynamics, which assumes instantaneous local thermalization, produces the largest possible elliptic flow values and that the data seem to saturate this limit. We here investigate the question whether incompletely thermalized viscous systems may actually produce more elliptic flow than ideal hydrodynamics. Motivated by the extremely fast primordial longitudinal expansion of the reaction zone, we investigate a toy model which exhibits thermalization only in the transverse directions but undergoes collisionless free-streaming expansion in the longitudinal direction. For collisions at RHIC energies, elliptic flow results from the model are compared with those from hydrodynamics. With the final particle yield and \kt-distribution fixed, the transversally thermalized model is shown not to be able to produce the measured amount of elliptic flow. This investigation provides further support for very rapid local kinetic equilibration at RHIC. It also yields interesting novel results for the elliptic flow of massless particles such as direct photons.Comment: revtex4, 15 pages + 10 embedded EPS figure

    Pion Interferometry for Hydrodynamical Expanding Source with a Finite Baryon Density

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    We calculate the two-pion correlation function for an expanding hadron source with a finite baryon density. The space-time evolution of the source is described by relativistic hydrodynamics and the Hanbury-Brown-Twiss (HBT) radius is extracted after effects of collective expansion and multiple scattering on the HBT interferometry have been taken into account, using quantum probability amplitudes in a path-integral formalism. We find that this radius is substantially smaller than the HBT radius extracted from the freeze-out configuration.Comment: 4 pages, 2 figure

    Closed-loop structural stability for linear-quadratic optimal system

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    This paper contains an explicit parameterization of a subclass of linear constant gain feedback maps that will not destabilize an originally open-loop stable system. These results can then be used to obtain several new structural stability results for multi-input linear-quadratic feedback optimal designs

    Portraits of resilience: headteachers in two different cultures

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    This article provides two ‘portraits’ of headteachers in primary schools in England and Hong Kong, derived from semi-structured interviews with these individuals. Contrary to some claims that such a small sample is worthless, this article argues that what is most meaningful is sometimes derived from the singular and unique; that generalisations in education are as likely to be useful if they are ‘fuzzy’ generalisations as if they are from scientific or statistical generalisations; and that the individual case can strip away the clutter of large contexts and allow recognition of a common shared humanity. What these portraits also show is that responses to larger contexts are heavily dependent on personality and local context, and that if policy implementation and professional development are to have impact, then an attention to the personal and the local are going to be critical factors in any success in these areas
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