29,548 research outputs found

    Radiative and Collisional Jet Energy Loss in a Quark-Gluon Plasma

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    We calculate radiative and collisional energy loss of hard partons traversing the quark-gluon plasma created at RHIC and compare the respective size of these contributions. We employ the AMY formalism for radiative energy loss and include additionally energy loss by elastic collisions. Our treatment of both processes is complete at leading order in the coupling, and accounts for the probabilistic nature of jet energy loss. We find that a solution of the Fokker-Planck equation for the probability density distributions of partons is necessary for a complete calculation of the nuclear modification factor RAAR_{AA} for pion production in heavy ion collisions. It is found that the magnitude of RAAR_{AA} is sensitive to the inclusion of both collisional and radiative energy loss, while the average energy is less affected by the addition of collisional contributions. We present a calculation of RAAR_{AA} for π0\pi^0 at RHIC, combining our energy loss formalism with a relativistic (3+1)-dimensional hydrodynamic description of the thermalized medium.Comment: 4 pages, 4 figures, contributed to Quark Matter 2008, Jaipur, Indi

    Haldane Gap and Hidden Order in the S=2 Antiferromagnetic Quantum Spin Chain

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    We have investigated Haldane's conjecture for the S=2 isotropic antiferromagnetic quantum spin chain with nearest-neighbor exchange J. Using a density matrix renormalization group algorithm for chains up to L=350 spins, we find in the thermodynamic limit a finite spin gap of Delta = 0.085(5)J and a finite spin-spin correlation length xi = 49(1) lattice spacings. We establish the ground state energy per bond to be E_0=-4.761248(1)J. We show that the ground state has a hidden topological order that is revealed in a nonlocal string correlation function. This means that the physics of the S=2 chain can be captured by a valence-bond solid description. We also observe effective free spin-1 states at the ends of an open S=2 chain.Comment: 6 pages, LaTeX 2.09, 3 PostScript figure

    Jet Modification in a Brick of QGP Matter

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    We have implemented the LPM effect into a microscopic transport model with partonic degrees of freedom by following the algorithm of Zapp & Wiedemann. The Landau-Pomeranchuk-Migdal (LPM) effect is a quantum interference process that modifies the emission of radiation in the presence of a dense medium. In QCD this results in a quadratic length dependence for radiative energy loss. This is an important effect for the modification of jets by their passage through the QGP. We verify the leading parton energy loss in the model against the leading order Baier-Dokshitzer-Mueller-Peigne-Schiff-Zakharov (BDMPS-Z) result. We apply our model to the recent observations of the modification of di-jets at the LHC.Comment: Presented at Panic 1

    Radiative and Collisional Energy Loss, and Photon-Tagged Jets at RHIC

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    The suppression of single jets at high transverse momenta in a quark-gluon plasma is studied at RHIC energies, and the additional information provided by a photon tag is included. The energy loss of hard jets traversing through the medium is evaluated in the AMY formalism, by consistently taking into account the contributions from radiative events and from elastic collisions at leading order in the coupling. The strongly-interacting medium in these collisions is modelled with (3+1)-dimensional ideal relativistic hydrodynamics. Putting these ingredients together with a complete set of photon-production processes, we present a calculation of the nuclear modification of single jets and photon-tagged jets at RHIC.Comment: 4 pages, 4 figures, contributed to the 3rd International Conference on Hard and Electro-Magnetic Probes of High-Energy Nuclear Collisions (Hard Probes 2008), typos corrected, published versio

    Probabilistic collocation method for uncertainty analysis of soil infiltration in flood modelling

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    The probabilistic collocation method (PCM) based on the Karhunen-Loevè expansion (KLE) and Polynomial chaos expansion (PCE) is applied for uncertainty analysis of flood inundation modelling. The floodplain hydraulic conductivity (KS) is considered as one of the important parameters in a 2-dimensional (2D) physical model FLO-2D (with Green-Ampt infiltration method) and has a nonlinear relationship with the flood simulation results, such as maximum flow depths (hmax). In this study, due to the spatial heterogeneity of soil, log-transformed Ks was assumed a random field in spatiality with normal distribution and decomposed with KLE in pairs of corresponding eigenvalues and eigenfuctions. The hmax random field is expanded by a second-order PCE approximation and the deterministic coefficients in PCE are solved by FLO-2D. To demonstrate this method, a simplified flood inundation case was used, where the mean and variance of the simulation outputs were compared with those from direct Monte Carlo Simulation. The comparison indicates that PCM could efficiently capture the statistics of flow depth in flood modelling with much less computational requirements
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