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    235 research outputs found

    Solution of a One-Dimensional Reaction-Diffusion Model with Spatial Asymmetry

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    We study classical particles on the sites of an open chain which diffuse, coagulate and decoagulate preferentially in one direction. The master equation is expressed in terms of a spin one-half Hamiltonian HH and the model is shown to be completely solvable if all processes have the same asymmetry. The relaxational spectrum is obtained directly from HH and via the equations of motion for strings of empty sites. The structure and the solvability of these equations are investigated in the general case. Two phases are shown to exist for small and large asymmetry, respectively, which differ in their stationary properties.Comment: 18 pages, latex, 1 PostScript figure, uuencode

    On Matrix Product States for Periodic Boundary Conditions

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    The possibility of a matrix product representation for eigenstates with energy and momentum zero of a general m-state quantum spin Hamiltonian with nearest neighbour interaction and periodic boundary condition is considered. The quadratic algebra used for this representation is generated by 2m operators which fulfil m^2 quadratic relations and is endowed with a trace. It is shown that {\em not} every eigenstate with energy and momentum zero can be written as matrix product state. An explicit counter-example is given. This is in contrast to the case of open boundary conditions where every zero energy eigenstate can be written as a matrix product state using a Fock-like representation of the same quadratic algebra.Comment: 7 pages, late

    Boiling Liquid Expanding Vapour Explosion (BLEVE) of Peroxy-fuels: Experiments and Computational Fluid Dynamics (CFD) Simulation

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    AbstractFire and explosion hazards associated with storage and transportation of flammable materials have been a matter of great interest in the recent times. BLEVE is a scenario that occurs when a closed fuel container is subjected to heat for a longer duration. Such events are disastrous to human beings and assets both. In the past there have been numerous studies on BLEVEs and fireballs of hydrocarbon fuels, e.g. kerosene, gasoline, LPG, LNG and others. Though, the fireballs of peroxy-fuels are not looked into detail as such. This article tries to overcome this lack of knowledge. Both, experimental investigation and CFD simulations are performed to measure and predict the fireball characteristics of a peroxy-fuel. Due to thermal decomposition in the liquid phase and active oxygen content a peroxy-fuel fireball burns at a very fast rate and emit higher thermal radiation whereas exhibits smaller diameter and elevation compared to hydrocarbons. That eventually leads to consideration of larger safety distances from them which are also verified by CFD results

    Projektbericht: Rehabilitation in der Geriatrie

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    Problemstellung, Design und Erhebungsinstrumente einer empirischen Studie zu Fragen der Rehabilitation von über 60jährigen Schlaganfallpatienten werden dargestellt. Bei dieser Studie geht es vor allem um die Beschreibung der Akutphase und des Verlaufs der Rehabilitation unter differenzierenden Gesichtspunkten, wobei auch die Wirksamkeit der Rehabilitationsverfahren evaluiert werden soll. Die Daten werden in zwei Rehabilitationskliniken und in 10 Krankenhäusern erhoben, die mit der Basisversorgung während der akuten Krankheitsphase befaßt sind. Durch mehrere Erhebungsbögen wird der Gesamtkrankheitsverlauf der Patienten erfaßt. Die Evaluation der therapeutischen Maßnahmen erfolgt durch Verlaufs- und Aufwandsanalysen. Die Untersuchung in den Krankenhäusern richtet sich auf die deskriptive Erfassung des Auftretens von Schlaganfallerkrankungen und die damit verbundenen Anfälligkeits- und Sterblichkeitsraten innerhalb eines abgegrenzten regionalen und zeitlichen Raumes. Darüber hinaus wird in den Kliniken ein Teilprojekt durchgeführt, das Daten über die Notwendigkeit und den Bedarf an psychotherapeutischer Betreuung von Schlaganfallpatienten liefern soll. Der derzeitige Stand der Arbeiten, einschließlich erster Pretestergebnisse, wird dargestellt. (GB

    The Effect of Co Incorporation on the CO Oxidation Activity of LaFe1−xCoxO3 Perovskites

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    Perovskite oxides are versatile materials due to their wide variety of compositions of- fering promising catalytic properties, especially in oxidation reactions. In the presented study, LaFe1−xCoxO3 perovskites were synthesized by hydroxycarbonate precursor co-precipitation and thermal decomposition thereof. Precursor and calcined materials were studied by scanning electron microscopy (SEM), attenuated total reflection Fourier transform infrared spectroscopy (ATR-FTIR), thermogravimetric analysis (TG), and X-ray powder diffraction (XRD). The calcined catalysts were in addition studied by transmission electron microscopy (TEM) and N2 physisorption. The obtained perovskites were applied as catalysts in transient CO oxidation, and in operando studies of CO oxidation in diffuse reflectance infrared Fourier transform spectroscopy (DRIFTS). A pronounced increase in activity was already observed by incorporating 5% cobalt into the structure, which contin- ued, though not linearly, at higher loadings. This could be most likely due to the enhanced redox properties as inferred by H2-temperature programmed reduction (H2-TPR). Catalysts with higher Co contents showing higher activities suffered less from surface deactivation related to carbonate poisoning. Despite the similarity in the crystalline structures upon Co incorporation, we observed a different promotion or suppression of various carbonate-related bands, which could indicate different surface properties of the catalysts, subsequently resulting in the observed non-linear CO oxidation activity trend at higher Co contents

    Matrix Product Eigenstates for One-Dimensional Stochastic Models and Quantum Spin Chains

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    We show that all zero energy eigenstates of an arbitrary mm--state quantum spin chain Hamiltonian with nearest neighbor interaction in the bulk and single site boundary terms, which can also describe the dynamics of stochastic models, can be written as matrix product states. This means that the weights in these states can be expressed as expectation values in a Fock representation of an algebra generated by 2m2m operators fulfilling m2m^2 quadratic relations which are defined by the Hamiltonian.Comment: 11 pages, Late

    Finite-Size Scaling Studies of Reaction-Diffusion Systems Part III: Numerical Methods

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    The scaling exponent and scaling function for the 1D single species coagulation model (A+AA)(A+A\rightarrow A) are shown to be universal, i.e. they are not influenced by the value of the coagulation rate. They are independent of the initial conditions as well. Two different numerical methods are used to compute the scaling properties: Monte Carlo simulations and extrapolations of exact finite lattice data. These methods are tested in a case where analytical results are available. It is shown that Monte Carlo simulations can be used to compute even the correction terms. To obtain reliable results from finite-size extrapolations exact numerical data for lattices up to ten sites are sufficient.Comment: 19 pages, LaTeX, 5 figures uuencoded, BONN HE-94-0
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