65 research outputs found

    Thermodynamic Properties of the Dimerised and Frustrated S=1/2 Chain

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    By high temperature series expansion, exact diagonalisation and temperature density-matrix renormalisation the magnetic susceptibility χ(T)\chi(T) and the specific heat C(T)C(T) of dimerised and frustrated S=1/2S=1/2 chains are computed. All three methods yield reliable results, in particular for not too small temperatures or not too small gaps. The series expansion results are provided in the form of polynomials allowing very fast and convenient fits in data analysis using algebraic programmes. We discuss the difficulty to extract more than two coupling constants from the temperature dependence of χ(T)\chi(T).Comment: 14 pages, 13 figures, 4 table

    The fate of spinons in spontaneously dimerised spin-1/2 ladders

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    We study a weakly coupled, frustrated two-leg spin-1/2 Heisenberg ladder. For vanishing coupling between the chains, elementary excitations are deconfined, gapless spin-1/2 objects called spinons. We investigate the fate of spinons for the case of a weak interchain interaction. We show that despite a drastic change in ground state, which becomes spontaneously dimerised, spinons survive as elementary excitations but acquire a spectral gap. We furthermore determine the exact dynamical structure factor for several values of momentum transfer.Comment: 8 pages of revtex, 7 figures; discussion of physical picture for ground state and excitations in the "twistless" ladder expanded, version to appear in Phys Rev

    Simulation Intelligence: Towards a New Generation of Scientific Methods

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    The original "Seven Motifs" set forth a roadmap of essential methods for the field of scientific computing, where a motif is an algorithmic method that captures a pattern of computation and data movement. We present the "Nine Motifs of Simulation Intelligence", a roadmap for the development and integration of the essential algorithms necessary for a merger of scientific computing, scientific simulation, and artificial intelligence. We call this merger simulation intelligence (SI), for short. We argue the motifs of simulation intelligence are interconnected and interdependent, much like the components within the layers of an operating system. Using this metaphor, we explore the nature of each layer of the simulation intelligence operating system stack (SI-stack) and the motifs therein: (1) Multi-physics and multi-scale modeling; (2) Surrogate modeling and emulation; (3) Simulation-based inference; (4) Causal modeling and inference; (5) Agent-based modeling; (6) Probabilistic programming; (7) Differentiable programming; (8) Open-ended optimization; (9) Machine programming. We believe coordinated efforts between motifs offers immense opportunity to accelerate scientific discovery, from solving inverse problems in synthetic biology and climate science, to directing nuclear energy experiments and predicting emergent behavior in socioeconomic settings. We elaborate on each layer of the SI-stack, detailing the state-of-art methods, presenting examples to highlight challenges and opportunities, and advocating for specific ways to advance the motifs and the synergies from their combinations. Advancing and integrating these technologies can enable a robust and efficient hypothesis-simulation-analysis type of scientific method, which we introduce with several use-cases for human-machine teaming and automated science

    Thermodynamic Properties of Spin Ladders with Cyclic Exchange

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    By high temperature series expansion and exact complete diagonalization the magnetic susceptibility chi(T) and the specific heat C(T) of a two-leg S=1/2 ladder with cyclic (4-spin) exchange are computed. Both methods yield convincing results for not too small temperatures. We find that a small amount of cyclic exchange influences the thermodynamical properties significantly. Our results can serve as reliable basis for an efficient analysis of experimental dataComment: 6 pages, 7 figure

    MedShapeNet -- A Large-Scale Dataset of 3D Medical Shapes for Computer Vision

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    Prior to the deep learning era, shape was commonly used to describe the objects. Nowadays, state-of-the-art (SOTA) algorithms in medical imaging are predominantly diverging from computer vision, where voxel grids, meshes, point clouds, and implicit surface models are used. This is seen from numerous shape-related publications in premier vision conferences as well as the growing popularity of ShapeNet (about 51,300 models) and Princeton ModelNet (127,915 models). For the medical domain, we present a large collection of anatomical shapes (e.g., bones, organs, vessels) and 3D models of surgical instrument, called MedShapeNet, created to facilitate the translation of data-driven vision algorithms to medical applications and to adapt SOTA vision algorithms to medical problems. As a unique feature, we directly model the majority of shapes on the imaging data of real patients. As of today, MedShapeNet includes 23 dataset with more than 100,000 shapes that are paired with annotations (ground truth). Our data is freely accessible via a web interface and a Python application programming interface (API) and can be used for discriminative, reconstructive, and variational benchmarks as well as various applications in virtual, augmented, or mixed reality, and 3D printing. Exemplary, we present use cases in the fields of classification of brain tumors, facial and skull reconstructions, multi-class anatomy completion, education, and 3D printing. In future, we will extend the data and improve the interfaces. The project pages are: https://medshapenet.ikim.nrw/ and https://github.com/Jianningli/medshapenet-feedbackComment: 16 page

    German Contributions to the 15th International Congress of Slavists, Minsk 2013

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    Der Sammelband enthält die 39 Beiträge der deutschen Teilnehmerinnen und Teilnehmer am 15. Internationalen Slavistenkongress, der vom 20.-27. August 2013 in Minsk stattfand.Beitr. teilw. dt., teilw. engl., teilw. franz., teilw. in kyrill. Schr., russ., teilw. in kyrill. Schr., weißruss.German Contributions to the 15th International Congress of Slavists, Minsk 2013. Comprises all 39 German papers (linguistics 31, literature 8). Published on behalf of the German Association of Slavists (Deutscher Slavistenverband)

    Morphing in nature and beyond: a review of natural and synthetic shape-changing materials and mechanisms

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    Shape-changing materials open an entirely new solution space for a wide range of disciplines: from architecture that responds to the environment and medical devices that unpack inside the body, to passive sensors and novel robotic actuators. While synthetic shape-changing materials are still in their infancy, studies of biological morphing materials have revealed key paradigms and features which underlie efficient natural shape-change. Here, we review some of these insights and how they have been, or may be, translated to artificial solutions. We focus on soft matter due to its prevalence in nature, compatibility with users and potential for novel design. Initially, we review examples of natural shape-changing materials—skeletal muscle, tendons and plant tissues—and compare with synthetic examples with similar methods of operation. Stimuli to motion are outlined in general principle, with examples of their use and potential in manufactured systems. Anisotropy is identified as a crucial element in directing shape-change to fulfil designed tasks, and some manufacturing routes to its achievement are highlighted. We conclude with potential directions for future work, including the simultaneous development of materials and manufacturing techniques and the hierarchical combination of effects at multiple length scales.</p

    Betriebliche Beschäftigungssicherung in der Krise: Eine Kurzauswertung der WSI-Betriebsrätebefragung 2009

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    Die deutsche Wirtschaft wurde von der globalen Immobilien- und Finanzkrise hart getroffen. Aufgrund der starken Exportorientierung ist der Wirtschaftseinbruch im Vergleich zu anderen europäischen Ländern besonders stark. Allerdings: Die Arbeitsmarktentwicklung verlief dagegen bislang wesentlich moderater, als aufgrund der Schwere der Wirtschaftskrise zunächst prognostiziert wurde. Der erwartete sprunghafte Anstieg der Arbeitslosigkeit blieb aus. Diese Entwicklung wirft die Frage auf, wie es den Betrieben gelingt, ohne massenhafte Entlassungen den Auftrags- und Umsatzeinbruch abzufedern. Das WSI befragte deshalb in einer repräsentativen Erhebung Betriebsräte zu den betrieblichen Aktivitäten in der Krise. Die Ergebnisse zeigen, dass die Betriebe einen bunten Strauß an Maßnahmen der internen Flexibilität nutzten, um Beschäftigung zu sichern. Dazu gehört nicht nur die staatlich geförderte Kurzarbeit, sondern insbesondere der Abbau von Guthaben auf bestehenden Arbeitszeitkonten

    Constraining effective field theories with machine learning

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    An important part of the Large Hadron Collider (LHC) legacy will be precise limits on indirect effects of new physics, framed for instance in terms of an effective field theory. These measurements often involve many theory parameters and observables, which makes them challenging for traditional analysis methods. We discuss the underlying problem of “likelihood-free” inference and present powerful new analysis techniques that combine physics insights, statistical methods, and the power of machine learning. We have developed MadMiner, a new Python package that makes it straightforward to apply these techniques. In example LHC problems we show that the new approach lets us put stronger constraints on theory parameters than established methods, demonstrating its potential to improve the new physics reach of the LHC legacy measurements. While we present techniques optimized for particle physics, the likelihood-free inference formulation is much more general, and these ideas are part of a broader movement that is changing scientific inference in fields as diverse as cosmology, genetics, and epidemiology
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