4,983 research outputs found

    On "the authentic damping mechanism" of the phonon damping model

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    Some general features of the phonon damping model are presented. It is concluded that the fits performed within this model have no physical content

    The software for oceanographic data management: VODC for PC 2.0

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    To manage and process a large amount of oceanographic data, users must have powerful tools that simplify these tasks. The VODC for PC is software designed to assist in managing oceanographic data. It based on 32 bits Windows operation system and used Microsoft Access database management system. With VODC for PC users can update data simply, convert to some international data formats, combine some VODC databases to one, calculate average, min, max fields for some types of data, check for valid data

    Structural, optical and electrical conductivity properties of stannite Cu₂ZnSnS₄

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    A precursor powder was obtained from drying the solutions of a mixture of different ratios of Cu, Zn and Sn chloride and thiourea. The Cu2ZnSnS4 (CZTS) samples were prepared from thermal decomposition of the corresponding precursors in vacuum, and were then characterized using scanning emission microscopy, energy dispersive x-ray analysis, x-ray powder diffraction and Raman scatterin

    Structural properties and variable-range hopping conductivity of Cu₂SnS₃

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    In the present work, we investigated the elemental composition, structural and electrical properties of Cu₂SnS₃ (CTS) ternary semiconductor synthesized by the pyrolytic decomposition of the precursors in vacuu

    Φ34\Phi^4_3 measures on compact Riemannian 33-manifolds

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    We construct the Φ34\Phi^4_3 measure on an arbitrary 3-dimensional compact Riemannian manifold without boundary as an invariant probability measure of a singular stochastic partial differential equation. Proving the nontriviality and the covariance under Riemannian isometries of that measure gives for the first time a non-perturbative, non-topological interacting Euclidean quantum field theory on curved spaces in dimension 3. This answers a longstanding open problem of constructive quantum field theory on curved 3 dimensional backgrounds. To control analytically several Feynman diagrams appearing in the construction of a number of random fields, we introduce a novel approach of renormalization using microlocal and harmonic analysis. This allows to obtain a renormalized equation which involves some universal constants independent of the manifold. We also define a new vectorial Cole-Hopf transform which allows to deal with the vectorial Φ34\Phi^4_3 model where Φ\Phi is now a bundle valued random field. In a companion paper, we develop in a self-contained way all the tools from paradifferential and microlocal analysis that we use to build in our manifold setting a number of analytic and probabilistic objects.Comment: references added, Section 6.2 adde

    Global harmonic analysis for Φ34\Phi^4_3 on closed Riemannian manifolds

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    Following Parisi \& Wu's paradigm of stochastic quantization, we constructed in \cite{BDFT} a Φ4\Phi^4 measure on an arbitrary compact, boundaryless, Riemannian manifold as an invariant measure of a singular stochastic partial differential equation. The present work is a companion to \cite{BDFT}. We describe here in detail the harmonic and microlocal analysis tools that we used. We also introduce some new tools to treat the vectorial Φ34\Phi^4_3 model. This relies on a new Cole-Hopf transform involving random bundle maps. We do not aim here for the greatest generality; rather, we tried to keep our exposition relatively self-contained and pedagogical enough in the hope that the techniques we show can be used in other settings.Comment: 62 page
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