Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 27 for “"Percolation Theory"”.
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Crystallographically consistent percolation theory for grain boundary networks
… networks may be studied in the framework of percolation theory by classifying boundaries as special or general to the property of interest. In standard percolation theory, boundaries are randomly assigned as special or general; however, this approach is invalid in realistic grain boundary …
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Design considerations in manufacturing composite conductors: An exposition of Percolation Theory
This dissertation is an exposition of Percolation Theory, directed to the audience of beginning undergraduate mathematics students, though this can include gifted high school students. The vehicle by which the theory is taught is that of problem solving. The reader of the dissertation is invited …
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A new triggering mechanism of the boiling crisis based on the percolation theory and its implication
… boiling crisis by modeling boiling as a bubble percolation process. By combining high-resolution experimental data and a stochastic model, we posit that the boiling crisis is triggered by an instability in the near-wall stochastic bubble interaction process. We formulate a Monte Carlo (MC) …
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An analysis of spatial percolation structures using a network approach
… analyse several spatial structures, built from percolation models, by means of an approach used so far in the field of network science. In the first chapter we summarize the major network concepts and characterizations that have been obtained as regards the statistical properties of several data …
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Estimating scale dependence of saturated hydraulic conductivity in soils
… field). In this study, we apply concepts from percolation theory to estimate the scale dependence of saturated hydraulic conductivity, K_sat. For this purpose, we use a database including undisturbed soil samples from four Danish sites (Jyndevad, Tylstrup, Estrup, and Silstrup). The value of …
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A Percolation Model for Boiling and Predicting CHF
… A recently investigated way to model CHF uses percolation theory, which states that CHF is reached at the percolation threshold. A bubble percolation model is used to visualize and predict boiling performance. The predictions of these models will then be used for characterizing the boiling …
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DISORDER EFFECTS IN FRUSTRATED MAGNETS AND ABSORBING STATE TRANSITIONS
… the stripe phase. Combining symmetry arguments, percolation theory and Monte Carlo simulations, we show that a weak spatial interaction anisotropy restores the stripe phase. Moreover, we determine the phase diagram and explain it using percolation theory. We also analyze the critical behavior of …
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Random close packing (RCP) of equal spheres: structure and implications for use as a model porous medium
… and imbibition algorithms are adapted to emulate percolation theory models. The results prove that the classical bond problem of percolation theory does not adequately describe the drainage process for RCP, and that the classical site problem does not adequately describe the imbibition process for …
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Robust object exploration and detection
… to find all the objects in the world using the theory of random graphs, particularly percolation theory. The developed systems improve upon the state-of-the art in both simulation and real-world experiments.
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The Vulcanization Transition and the Amorphous Solid State It Yields: A Statistical Mechanical Perspective
… vertex functions to all orders in perturbation theory, shows that percolation theory correctly captures the critical phenomenology of the vulcanization transition associated with percolative aspects of the liquid and critical states. In addition, we study certain density correlators associated …
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Microstructural modeling of lithium battery electrodes
… of view. Electron transport was analyzed using percolation theory and comparison with other conductor-insulator composites. An in situ filter pressing apparatus was designed and constructed in order to determine the percolation threshold in composite electrode systems. In addition, the effect of …
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Carbon nanostructures/tin (IV) oxide systems and transparent electrode application
… on single-walled carbon nanotube network, the percolation theory suggested by Hu and colleagues was used to calculate a figure of merit, DC to optical conductivity ratio, from optical transmittance and sheet resistance. Among the metal alkoxides tested, tin isopropoxide was demonstrated to be …
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Interactions between currents and the spatial structure of aquatic vegetation
… tidal currents, explained by the principles of percolation theory, helps describe why certain distributions of seagrass within a meadow are more stable than others.
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Transport studies in graphene-based materials and structures
… Their electrical conductivity follows the percolation theory. We use 3-w method to measure the thermal conductivity and find that their thermal conductivities can be tuned by the graphene filler concentration. We build a micro-manipulator to accurately align and transfer two-dimensional …
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Characterization of Ferroelectric Films by Spectroscopic Ellipsometry
… leakage currents. Equivalent circuits and percolation theory were applied to predict leakage current based on Bi₂O₃ content and connectivity. The complex role of excess Bi2O3 in the crystallization of SBT was reviewed from a processing perspective. VASE helped clarify the nature of the …
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SELF-ASSEMBLY, DEFORMATION, AND DISASSEMBLY OF SOFT MATERIALS
… Finally, we present an experimentally validated percolation theory of viral nanoparticle disassembly with an eye towards understanding resilience of different virus species and, technologically, the extent to which subunit removal and replacement strategies may be used tune their properties …
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Micro to Macro Dynamics of Shared Awareness Emergence in Situations Theory: Towards a General Theory of Shared Awareness
… shared awareness [probability threshold] using percolation theory. Percolation is one of numerous techniques being developed out of statistical mechanics. Statistical mechanics (reinterpreted for the use in this study) provides a framework for relating the microscopic properties of individual …
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Cation-disordered oxides for rechargeable lithium battery cathodes
… that this counterintuitive behavior is due to percolation of a certain type of active diffusion channels (0-TM channels) in disordered Li-excess materials, which becomes more extensive as the lithium-excess level increases. In the second part of this thesis, a new class of high capacity …
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Spectral properties of the random conductance model
… the Rayleigh-Ritz formula, results from percolation theory, path arguments and the Bauer-Fike theorem. On the other hand, if q>1/4, then we show that the properly rescaled first eigenvectors and eigenvalues converge almost-surely to the first eigenvectors and eigenvalues of a homogenized …
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Coverage, Secrecy, and Stability Analysis of Energy Harvesting Wireless Networks
… cellular networks. We use tools from percolation theory to study percolation probability of energy-drained BSs. We study the effect of two system parameters on that metric, namely, the energy arrival rate and the user density. Our results show the existence of a critical value for the …
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