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 323 for “"percolation"”.
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Percolation On Galton-Watson Trees
We consider both Bernoulli and invasion percolation on Galton-Watson trees. In the former case, we show that the quenched survival function is smooth on the supercritical window and smooth from the right at criticality. We also study critical percolation conditioned to reach depth $n$, and …
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Extremal and probabilistic bootstrap percolation
… extremal and probabilistic problems in bootstrap percolation on various families of graphs, including grids, hypercubes and trees. Bootstrap percolation is one of the simplest cellular automata. The most widely studied model is the so-called r-neighbour bootstrap percolation, in which we consider …
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Design of a percolation reactor
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2000.
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RUSSO-SEYMOUR-WELSH ON PERCOLATION MODELS
… at criticality for both the Voronoi percolation and random cluster model. The statements and proofs follow closely the individual work of Tassion and the joint work of Duminil-Copin and Tassion with additional remarks and details to make the proofs more accessible.
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Percolation phenomena in amorphous iron-nickel alloys
… saturate. These results are not explained by percolation scaling theories. Scaling models for the large clusters are not relevant when large applied fields are used. We calculate the magnetization using the distribution function for the number of small clusters in a percolating magnet. This …
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Combinatorial aspects of synchronisation, percolation, and arithmetic
… 3, we study a problem at the confluence of percolation theory and combinatorial game theory. The $(m,b)$ Maker-Breaker percolation game on $(\mathbb{Z}^2)_p$, introduced by Day and Falgas-Ravry, is played in the following way. Before the game starts, each edge of $\mathbb{Z}^2$ is removed …
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Percolation and homogenization theories for heterogeneous materials
… of connectivity can be effectively captured by a percolation threshold, a case-specific volume fraction at which the macroscopic effective property undergoes a critical transition, and a set of critical scaling exponents, which also reflect the universality class that the property belongs to. …
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Localization and delocalization in two-dimensional quantum percolation
<p>Quantum percolation is one of several disorder-only models that address the question of whether conduction, or more generally, delocalization, is possible in two dimensional disordered systems. Whether quantum percolation exhibits a delocalization-localization phase transition in two dimensions …
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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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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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Correlation Effects In Nanoparticle Composites: Percolation, Packing And Tunneling
<p>bold <strong>your words</strong> </p>
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Percolation Paths of Three-Dimensions in Sensitized Stainless Steel
The study of three-dimensional percolation paths through materials is important in its contribution to understanding defect sensitive properties of materials. This work shows the importance of grain boundary character in modeling defect sensitive boundaries. Also presented are trends of percolation …
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Avalanches, percolation, and stochastic damage evolution in disordered media
… is shown to belong to the long-range correlated percolation class, a second-order phase transition. Interestingly, this behavior is in contrast to the elastic-brittle transition in disordered media which is abrupt, akin to a first-order phase transition. The elastic-brittle transition in …
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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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Resin percolation and intimate contact in fast processing of thermoplastic composites
… imaging and scaling analysis that percolation flow, rather than squeeze flow, of resin through fibers is the dominant mechanism to achieve intimate contact in rapid TPC processes such as automated fiber placement (AFP) and welding. A 1D intimate contact model based on resin …
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Percolation in Two-Dimensional Grain Boundary Structures and Polycrystal Property Closures
… by the microstructure. The first topic involves percolation as a tool in relating the grain boundary structure to global properties such as fracture and corrosion resistance. The second investigates optimization techniques in order to find the space of values that properties of a material can …
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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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The Effects of Snowmelt Percolation on Stratified Pollen Records: A Cooler Study
… little is known about the effects of meltwater percolation on pollen found in snow and glacial ice. Previous studies have suggested that pollen is relatively impervious to meltwater percolation due to grain size and, thus, resists transport. However, investigations on McCall Glacier in the …
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Percolation and nanosecond fluctuators in V2O3 films within the metal-insulator transition
… through electronic transport is a probe of percolation and the fluctuating dynamics of the two-phase domain structure. We measure voltage noise spectra at both low frequencies (up to 100 kHz) and radio frequencies (between 10 MHz and 1 GHz). At low current densities the voltage noise …
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