37,236 research outputs found

    The generalized Fenyes-Nelson model for free scalar field theory

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    The generalized Fenyes--Nelson model of quantum mechanics is applied to the free scalar field. The resulting Markov field is equivalent to the Euclidean Markov field with the times scaled by a common factor which depends on the diffusion parameter. This result is consistent between Guerra's earlier work on stochastic quantization of scalar fields. It suggests a deep connection between Euclidean field theory and the stochastic interpretation of quantum mechanics. The question of Lorentz covariance is also discussed.Comment: 6 page

    Folding of the triangular lattice in a discrete three-dimensional space: Crumpling transitions in the negative-bending-rigidity regime

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    Folding of the triangular lattice in a discrete three-dimensional space is studied numerically. Such ``discrete folding'' was introduced by Bowick and co-workers as a simplified version of the polymerized membrane in thermal equilibrium. According to their cluster-variation method (CVM) analysis, there appear various types of phases as the bending rigidity K changes in the range -infty < K < infty. In this paper, we investigate the K<0 regime, for which the CVM analysis with the single-hexagon-cluster approximation predicts two types of (crumpling) transitions of both continuous and discontinuous characters. We diagonalized the transfer matrix for the strip widths up to L=26 with the aid of the density-matrix renormalization group. Thereby, we found that discontinuous transitions occur successively at K=-0.76(1) and -0.32(1). Actually, these transitions are accompanied with distinct hysteresis effects. On the contrary, the latent-heat releases are suppressed considerably as Q=0.03(2) and 0.04(2) for respective transitions. These results indicate that the singularity of crumpling transition can turn into a weak-first-order type by appreciating the fluctuations beyond a meanfield level

    The formation of silver /I/ chloride by the action of silver /I/ ion on carbon tetrachloride in 2-butanol and methanol

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    Formation of silver chloride by action of silver ion on carbon tetrachloride in 2-butanol and methano

    Chapter Three. EED library as a basis for systematic reviews

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    3.1 Defining Systematic Review Question Priorities 3.2 Determining Relevance to the Systematic Review 3.3 Acquisition of References and Copyright Fair Use Compliance 3.4 Documenting Relevance to the Systematic Review 3.5 Data Extraction for the Systematic Review 3.6 EED Library: Search Results Overview 3.7 Quality Control 3.8 EED Library Statushttps://digitalcommons.wustl.edu/tropicalenteropathybook/1004/thumbnail.jp

    Chapter Five. Systematic review results by biomarker classifications

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    5.1 Markers of Absorption and Permeability Overview 5.2 Markers of Absorption 5.3 Markers of Permeability 5.4 Markers of Digestion 5.5 Markers of Intestinal Inflammation and Intestinal Immune Activation 5.6 Markers of Systemic Inflammation and Systemic Immune Activation 5.7 Markers of Microbial Drivers 5.8 Markers of Nonspecific Intestinal Injury 5.9 Markers of Extra-Small Intestinal Function 5.10 Relationships Between Markers of EED, Including Histopathology 5.11 Relationships between EED Biomarkers and Growth or Other Outcomes of Interesthttps://digitalcommons.wustl.edu/tropicalenteropathybook/1006/thumbnail.jp

    Chapter Six. Conclusions and future implications

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    6.1 Summary of Findings 6.2 Future Biomarker and Diagnostics Researchhttps://digitalcommons.wustl.edu/tropicalenteropathybook/1007/thumbnail.jp

    Self-Consistent Screening Approximation for Flexible Membranes: Application to Graphene

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    Crystalline membranes at finite temperatures have an anomalous behavior of the bending rigidity that makes them more rigid in the long wavelength limit. This issue is particularly relevant for applications of graphene in nano- and micro-electromechanical systems. We calculate numerically the height-height correlation function G(q)G(q) of crystalline two-dimensional membranes, determining the renormalized bending rigidity, in the range of wavevectors qq from 10710^{-7} \AA1^{-1} till 10 \AA1^{-1} in the self-consistent screening approximation (SCSA). For parameters appropriate to graphene, the calculated correlation function agrees reasonably with the results of atomistic Monte Carlo simulations for this material within the range of qq from 10210^{-2} \AA1^{-1} till 1 \AA1^{-1}. In the limit q0q\rightarrow 0 our data for the exponent η\eta of the renormalized bending rigidity κR(q)qη\kappa_R(q)\propto q^{-\eta} is compatible with the previously known analytical results for the SCSA η0.82\eta\simeq 0.82. However, this limit appears to be reached only for q<105q<10^{-5} \AA1^{-1} whereas at intermediate qq the behavior of G(q)G(q) cannot be described by a single exponent.Comment: 5 pages, 4 figure
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