Academic literature on the topic 'Percolation Theorie'

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Journal articles on the topic "Percolation Theorie"

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Pajot, Stephane. "Integration du marche global dans un systeme compose de marches locaux: Analyse par la theorie de la percolation." Revue économique 54, no. 3 (May 2003): 675. http://dx.doi.org/10.2307/3502940.

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Xia, Xiaodong, and George J. Weng. "Dual percolations of electrical conductivity and electromagnetic interference shielding in progressively agglomerated CNT/polymer nanocomposites." Mathematics and Mechanics of Solids 26, no. 8 (June 14, 2021): 1120–37. http://dx.doi.org/10.1177/10812865211021460.

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Recent experiments have revealed two distinct percolation phenomena in carbon nanotube (CNT)/polymer nanocomposites: one is associated with the electrical conductivity and the other is with the electromagnetic interference (EMI) shielding. At present, however, no theories seem to exist that can simultaneously predict their percolation thresholds and the associated conductivity and EMI curves. In this work, we present an effective-medium theory with electrical and magnetic interface effects to calculate the overall conductivity of a generally agglomerated nanocomposite and invoke a solution to Maxwell’s equations to calculate the EMI shielding effectiveness. In this process, two complex quantities, the complex electrical conductivity and complex magnetic permeability, are adopted as the homogenization parameters, and a two-scale model with CNT-rich and CNT-poor regions is utilized to depict the progressive formation of CNT agglomeration. We demonstrated that there is indeed a clear existence of two separate percolative behaviors and showed that, consistent with the experimental data of poly-L-lactic acid (PLLA)/multi-walled carbon nanotube (MWCNT) nanocomposites, the electrical percolation threshold is lower than the EMI shielding percolation threshold. The predicted conductivity and EMI shielding curves are also in close agreement with experimental data. We further disclosed that the percolative behavior of EMI shielding in the overall CNT/polymer nanocomposite can be illustrated by the establishment of connective filler networks in the CNT-poor region. It is believed that the present research can provide directions for the design of CNT/polymer nanocomposites in the EMI shielding components.
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PEREIRA, M. G., G. CORSO, L. S. LUCENA, and J. E. FREITAS. "PERCOLATION PROPERTIES AND UNIVERSALITY CLASS OF A MULTIFRACTAL RANDOM TILING." International Journal of Modern Physics C 16, no. 02 (February 2005): 317–25. http://dx.doi.org/10.1142/s0129183105007121.

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We study percolation as a critical phenomenon on a random multifractal support. The scaling exponent β related to the mass of the infinite cluster and the fractal dimension of the percolating cluster df are quantities that have the same value as the ones from the standard two-dimensional regular lattice percolation. The scaling exponent ν related to the correlation length is sensitive to the local anisotropy and assumes a value different from standard percolation. We compare our results with those obtained from the percolation on a deterministic multifractal support. The analysis of ν indicates that the deterministic multifractal is more anisotropic than the random multifractal. We also analyze connections with correlated percolation problems and discuss some possible applications.
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Wierman, John C. "Equality of the Bond Percolation Critical Exponents for Two Pairs of Dual Lattices." Combinatorics, Probability and Computing 1, no. 1 (March 1992): 95–105. http://dx.doi.org/10.1017/s0963548300000092.

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The substitution method is used to show that the percolative behaviour of the triangular and hexagonal lattices bond percolation models are similar near their critical probabilities. As a consequence, if the limits defining the critical exponents β and γ exist, these lattices have the same values of β and γ. Similarly, the method also shows equality of the β and γ values for bond percolation models on the bowtie lattice and its dual.
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Cai, Qing, Sameer Alam, Mahardhika Pratama, and Zhen Wang. "Percolation Theories for Multipartite Networked Systems under Random Failures." Complexity 2020 (May 20, 2020): 1–12. http://dx.doi.org/10.1155/2020/3974503.

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Real-world complex systems inevitably suffer from perturbations. When some system components break down and trigger cascading failures on a system, the system will be out of control. In order to assess the tolerance of complex systems to perturbations, an effective way is to model a system as a network composed of nodes and edges and then carry out network robustness analysis. Percolation theories have proven as one of the most effective ways for assessing the robustness of complex systems. However, existing percolation theories are mainly for multilayer or interdependent networked systems, while little attention is paid to complex systems that are modeled as multipartite networks. This paper fills this void by establishing the percolation theories for multipartite networked systems under random failures. To achieve this goal, this paper first establishes two network models to describe how cascading failures propagate on multipartite networks subject to random node failures. Afterward, this paper adopts the largest connected component concept to quantify the networks’ robustness. Finally, this paper develops the corresponding percolation theories based on the developed network models. Simulations on computer-generated multipartite networks demonstrate that the proposed percolation theories coincide quite well with the simulations.
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Tronin, I. V. "New algorithm to test percolation conditions within the Newman–Ziff algorithm." International Journal of Modern Physics C 25, no. 11 (October 15, 2014): 1450064. http://dx.doi.org/10.1142/s0129183114500648.

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A new algorithm to test percolation conditions for the solution of percolation problems on a lattice and continuum percolation for spaces of an arbitrary dimension has been proposed within the Newman–Ziff algorithm. The algorithm is based on the use of bitwise operators and does not reduce the efficiency of the operation of the Newman–Ziff algorithm as a whole. This algorithm makes it possible to verify the existence of both clusters touching boundaries at an arbitrary point and single-loop clusters continuously connecting the opposite boundaries in a percolating system with periodic boundary conditions. The existence of a cluster touching the boundaries of the system at an arbitrary point for each direction, the formation of a one-loop cluster, and the formation of a cluster with an arbitrary number of loops on a torus can be identified in one calculation by combining the proposed algorithm with the known approaches for the identification of the existence of a percolation cluster. The operation time of the proposed algorithm is linear in the number of objects in the system.
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Ojovan, Michael I., and Robert F. Tournier. "On Structural Rearrangements Near the Glass Transition Temperature in Amorphous Silica." Materials 14, no. 18 (September 11, 2021): 5235. http://dx.doi.org/10.3390/ma14185235.

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The formation of clusters was analyzed in a topologically disordered network of bonds of amorphous silica (SiO2) based on the Angell model of broken bonds termed configurons. It was shown that a fractal-dimensional configuron phase was formed in the amorphous silica above the glass transition temperature Tg. The glass transition was described in terms of the concepts of configuron percolation theory (CPT) using the Kantor-Webman theorem, which states that the rigidity threshold of an elastic percolating network is identical to the percolation threshold. The account of configuron phase formation above Tg showed that (i) the glass transition was similar in nature to the second-order phase transformations within the Ehrenfest classification and that (ii) although being reversible, it occurred differently when heating through the glass–liquid transition to that when cooling down in the liquid phase via vitrification. In contrast to typical second-order transformations, such as the formation of ferromagnetic or superconducting phases when the more ordered phase is located below the transition threshold, the configuron phase was located above it.
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SEN, PARONGAMA. "COMPARATIVE STUDY OF SPANNING CLUSTER DISTRIBUTIONS IN DIFFERENT DIMENSIONS." International Journal of Modern Physics C 10, no. 04 (June 1999): 747–52. http://dx.doi.org/10.1142/s0129183199000565.

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The probability distributions of the masses of the clusters spanning from top to bottom of a percolating lattice at the percolation threshold are obtained in all dimensions, from two to five. The first two cumulants and the exponents for the universal scaling functions are shown to have simple power law variations with the dimensionality. The cases where multiple spanning clusters occur are discussed separately and compared.
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GHANBARIAN, BEHZAD, ALLEN G. HUNT, THOMAS E. SKINNER, and ROBERT P. EWING. "SATURATION DEPENDENCE OF TRANSPORT IN POROUS MEDIA PREDICTED BY PERCOLATION AND EFFECTIVE MEDIUM THEORIES." Fractals 23, no. 01 (March 2015): 1540004. http://dx.doi.org/10.1142/s0218348x15400046.

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Accurate prediction of the saturation dependence of different modes of transport in porous media, such as those due to conductivity, air permeability, and diffusion, is of broad interest in engineering and natural resources management. Most current predictions use a "bundle of capillary tubes" concept, which, despite its widespread use, is a severely distorted idealization of natural porous media. In contrast, percolation theory provides a reliable and powerful means to model interconnectivity of disordered networks and porous materials. In this study, we invoke scaling concepts from percolation theory and effective medium theory to predict the saturation dependence of modes of transport — hydraulic and electrical conductivity, air permeability, and gas diffusion — in two disturbed soils. Universal scaling from percolation theory predicts the saturation dependence of air permeability and gas diffusion accurately, even when the percolation threshold for airflow is estimated from the porosity. We also find that the non-universal scaling obtained from the critical path analysis (CPA) of percolation theory can make excellent predictions of hydraulic and electrical conductivity under partially saturated conditions.
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Vidales, A. M., E. Miranda, and G. Zgrablich. "Invasion Percolation Quantities on Correlated Networks." International Journal of Modern Physics C 09, no. 06 (September 1998): 827–36. http://dx.doi.org/10.1142/s0129183198000765.

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Invasion percolation is studied on correlated square networks described through a site-bond model which has proven to be useful for the characterization of real heterogeneous media. It is shown how the correlation degree affects the mean front velocity, the number of islands of trapped defender fluid (which are completely surrounded by invaded elements), their size distribution and total number of steps to reach the final state. The correlation degree seems to affect the fractal dimension of the percolating cluster. A characteristic correlation length is found to exist which maximizes the mean invasion velocity.
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Dissertations / Theses on the topic "Percolation Theorie"

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Fraysse, Jérôme. "Composites polyaniline/polyméthacrylate de méthyle : percolation, transport électronique et propriétés mécaniques." Université Joseph Fourier (Grenoble), 2000. http://www.theses.fr/2000GRE10201.

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Dans ce travail nous nous interessons aux composites constitues par la dispersion d'un polymere conducteur electronique intrinseque : la polyaniline (pani) dans une matrice polymere isolante : le polymethacrylate de methyle (pmma). Ces materiaux sont une realisation exemplaire de systemes a tres faible seuil de percolation electrique. La comprehension des proprietes de transport electronique au voisinage de ce seuil renvoie d'une part aux proprietes intrinseques de la phase percolante, et d'autre part au phenomene de percolation. Nous exposons donc tout d'abord differents modeles decrivant le transport dans les milieux desordonnes et nous examinons leur pertinence dans le cadre des systemes de pani pure. Il apparait qu'un modele de sauts entre grains conducteurs faisant intervenir effet tunnel et activation thermique est bien adapte. Nous caracterisons ensuite la variation thermique de la conductivite de des composites et nous verifions que la loi d'echelle de la theorie de la percolation est suivie sur toute la gamme de temperature exploree (10-320 k). Alors que le seuil de percolation demeure constant, on obtient le resultat original d'un exposant critique augmentant continument lorsque la temperature diminue. Nous interpretons cette observation en invoquant la modification de la forme de la distribution de conductances locales et montrons qu'elle est coherente avec le modele de grains conducteurs precedemment cite. Enfin, un eclairage complementaire sur la structure et la morphologie de la phase de pani est apporte par des techniques d'imagerie directe et indirecte (notamment par analyse thermo-mecanique).
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Severo, Franco. "Interpolation schemes in percolation theory." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASM004.

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Cette thèse fournit de nouveaux résultats concernant la transition de phase des modèles de percolation, en particulier la percolation de Bernoulli et les lignes de niveau du champ libre gaussien. La technique commune utilisée dans ces résultats consiste à comparer deux modèles de percolation différents en construisant une famille de modèles interpolant entre les deux. L’objectif principal de cette thèse est d’illustrer comment cette technique peut être appliquée dans un large contexte
This thesis provides new results concerning the phase transition of percolation models, specially Bernoulli percolation and level-sets of the Gaussian free field. The common technique used in theses results consists in comparing two different percolation models by continuously interpolating between them. The main purpose of this thesis is to illustrate how this technique can be applied to a wider variety of contexts than those previously studied
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Chen, Ying Ph D. Massachusetts Institute of Technology. "Percolation and homogenization theories for heterogeneous materials." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/44389.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2008.
Includes bibliographical references (p. 139-145).
Most materials produced by Nature and by human beings are heterogeneous. They contain domains of different states, structures, compositions, or material phases. How these different domains are distributed in space, or in other words, how they connect to one another, determines their macroscopic properties to a large degree, making the simple rule-of-mixtures ineffective in most cases. This thesis studies the macroscopic effective diffusion, diffusional creep, and elastic properties of heterogeneous grain boundary networks and composite solids, both theoretically and numerically, and explores the microstructure-property correlations focusing on the effects of microstructural connectivity (topology). We have found that the effects 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. Using these percolation quantities together with the generalized effective medium theory, we are able to directly predict the effective diffusivity and effective diffusional creep viscosity of heterogeneous grain boundary networks to a fairly accurate degree. Diffusion in composite solids exhibits different percolation threshold and scaling behaviors due to interconnectivity at both edges and corners. Continuum elasticity suffers from this complexity as well, in addition to the complicating factor that each phase is always characterized by several independent elastic constants. These issues are each addressed in detail. In addition to studying all the above properties for a random distribution of grain boundaries or phases, we have also studied the effects of correlations in spatial distributions.
(cont.) This topic is especially important in materials science, because virtually no materials exhibit random phase distributions. We have examined the percolation of effective properties for correlated microstructures spanning between the random distribution and the perfectly periodic distribution. An important result of this work is new understanding about what correlations may be considered small, or inconsequential, to the percolation scaling behavior, and which are large or long-range, and lead to a loss of universality. Finally, a rigorous, and easy-to-use, analytical homogenization method is developed for periodic composite materials.
by Ying Chen.
Ph.D.
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Lee, Michael James. "Methods in Percolation." Thesis, University of Canterbury. Physics and Astronomy, 2008. http://hdl.handle.net/10092/2365.

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Algorithms are presented for the computationally efficient manipulation of graphs. These are subsequently used as the basis of a Monte Carlo method for sampling from the microcanonical ensemble of lattice configurations of a percolation model within a neighbourhood of the critical point. This new method arbitrarily increments and decrements the number of occupied lattice sites, and is shown to be a generalisation of several earlier, purely incremental, methods. As demonstrations of capability, the method was used to construct a phase diagram for exciton transport on a disordered surface, and to study finite size effects upon the incipient spanning cluster. Application of the method to the classical site percolation model on the two-dimensional square lattice resulted in an exceptionally precise estimate of the critical threshold. Although this estimate is not in agreement with earlier results, its accuracy was established through an application specific test of randomness, which is also introduced here. The same test suggests that many earlier results have been systematically biased due to the use of deficient pseudorandom number generators. The estimate made here has since been independently confirmed.
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Frary, Megan. "Crystallographically consistent percolation theory for grain boundary networks." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33402.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2005.
Includes bibliographical references (p. 127-134).
Grain boundaries are known to play a role in many important material properties including creep resistance, ductility and cracking resistance. Although the structure and properties of individual boundaries are important, the overall behavior of the material is determined largely by the connectivity of grain boundaries in the microstructure. Grain boundary 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 networks due to the requirement for crystallographic consistency around any closed circuit in the microstructure. The goal of this work is to understand the effects of these local constraints on the connectivity and percolation behavior of crystallographically consistent grain boundary networks. Using computer simulations and analytical models, the behavior of crystallographically consistent networks is compared to that of randomly-assembled networks at several different length scales. At the most local level, triple junctions and quadruple nodes are found to be preferentially coordinated by special and general boundaries, leading to nonrandom network topologies that are quantified using topological parameters.
(cont.) Although the properties of the simulated microstructures, including connectivity length and average cluster radius of gyration, are described by the same scaling exponents as in standard percolation theory, the amplitude prefactors in the scaling relationships are changed as a result of the crystallographic constraint. The percolation threshold, an important parameter in microstructural design, is also found to differ from that of standard percolation theory by as much as ±0.05. Although all of the simulated grain boundary networks studied here are distinctly nonrandom, no two cases have the same behavior, the details of which depend strongly on the specific microstructural model. Therefore, a unified approach for locally correlated percolation problems is developed that allows the effects of the requirement for crystallographic consistency to be compared directly from system to system. This new approach can be extended beyond the study of grain boundary networks to include other locally-correlated percolation problems.
by Megan E. Frary.
Ph.D.
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Stacey, Alan Martin. "Bounds on the critical probability in oriented percolation models." Thesis, University of Cambridge, 1994. https://www.repository.cam.ac.uk/handle/1810/251746.

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Simmons, Jacob Joseph Harris. "Applications of Conformal Field Theory to Problems in 2D Percolation." Fogler Library, University of Maine, 2007. http://www.library.umaine.edu/theses/pdf/SimmonsJJH2007.pdf.

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Fortunato, Santo [Verfasser]. "Percolation and Deconfinement in SU(2) Gauge Theory / Santo Fortunato." Bielefeld : Universitätsbibliothek Bielefeld, 2000. http://d-nb.info/1034401173/34.

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Bocharova, Vera. "Electrically Conductive Low Dimensional Nanostructures: Synthesis, Characterisation and Application." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1231161926227-23379.

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Miniaturization has become a driving force in different areas of technology including microelectronics, sensoric- and bio-technologies and in fundamental science. Because of the well-known limitations of conventional lithographic methods, newly emerging bottom-up approach, utilizing self-assembly of various nanoobjects including single polymer molecules and carbon nanotubes constitutes a very promising alternative for fabrication of ultimately small devices. Carbon nanotubes are attractive materials for nanotechnology and hold much promise to revolutionize fundamental science in a investigation of phenomena, associated with the nanometer–sized objects.It was found in this work that grafted chains of poly(2-vinylpyridine) form a shell covering the carbon nanotubes that makes them dispersible in organic solvents and in acidic water (CNTs-g-P2VP).The positively charged poly(2-vinylpyridine) shell is responsible for the selective deposition of carbon nanotubes onto oppositely charged surfaces. It was established that the deposition CNTs-g-P2VP from aqueous dispersions at low pH is an effective method to prepare ultra-thin films with a tunable density of carbon nanotubes.It was shown that poly(2-vinylpyridine) grafted to carbon nanotubes is a universal support for the immobilization of various nanoclusters at the carbon nanotube's surface. Prussian Blue nanoparticles were selectively attached to the surface of CNTs-g-P2VP.Conducting polymer nanowires are another very promising kind of nanomaterials that could be also suitable for applications in nanodevices and nanosensors. In this work was developed a simple method to control the conformation and orientation of single adsorbed polyelectrolyte molecules by co-deposition with octylamine. A simple chemical route to conductive polypyrrole nanowires by the grafting of polypyrrole from molecules of polystyrensulfonic acid was developed. The dc conductivity of individual polypyrrole nanowires approaches the conductivity of polypyrole in bulk.The conductivity can be described using variable-range hopping model.
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Bocharova, Vera. "Electrically Conductive Low Dimensional Nanostructures: Synthesis, Characterisation and Application." Doctoral thesis, Technische Universität Dresden, 2008. https://tud.qucosa.de/id/qucosa%3A23607.

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Miniaturization has become a driving force in different areas of technology including microelectronics, sensoric- and bio-technologies and in fundamental science. Because of the well-known limitations of conventional lithographic methods, newly emerging bottom-up approach, utilizing self-assembly of various nanoobjects including single polymer molecules and carbon nanotubes constitutes a very promising alternative for fabrication of ultimately small devices. Carbon nanotubes are attractive materials for nanotechnology and hold much promise to revolutionize fundamental science in a investigation of phenomena, associated with the nanometer–sized objects.It was found in this work that grafted chains of poly(2-vinylpyridine) form a shell covering the carbon nanotubes that makes them dispersible in organic solvents and in acidic water (CNTs-g-P2VP).The positively charged poly(2-vinylpyridine) shell is responsible for the selective deposition of carbon nanotubes onto oppositely charged surfaces. It was established that the deposition CNTs-g-P2VP from aqueous dispersions at low pH is an effective method to prepare ultra-thin films with a tunable density of carbon nanotubes.It was shown that poly(2-vinylpyridine) grafted to carbon nanotubes is a universal support for the immobilization of various nanoclusters at the carbon nanotube's surface. Prussian Blue nanoparticles were selectively attached to the surface of CNTs-g-P2VP.Conducting polymer nanowires are another very promising kind of nanomaterials that could be also suitable for applications in nanodevices and nanosensors. In this work was developed a simple method to control the conformation and orientation of single adsorbed polyelectrolyte molecules by co-deposition with octylamine. A simple chemical route to conductive polypyrrole nanowires by the grafting of polypyrrole from molecules of polystyrensulfonic acid was developed. The dc conductivity of individual polypyrrole nanowires approaches the conductivity of polypyrole in bulk.The conductivity can be described using variable-range hopping model.
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Books on the topic "Percolation Theorie"

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Grimmett, Geoffrey. Percolation. New York, NY: Springer New York, 1989.

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Kesten, Harry. Percolation Theory and Ergodic Theory of Infinite Particle Systems. New York, NY: Springer New York, 1987.

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Quantum and semi-classical percolation and breakdown in disordered solids. Berlin: Springer-Verlag, 2009.

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Pollmann, Inga. Cinematic Vitalism. NL Amsterdam: Amsterdam University Press, 2018. http://dx.doi.org/10.5117/9789462983656.

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This book argues that there are constitutive links between early twentieth-century German and French film theory and practice, on the one hand, and vitalist conceptions of life in biology and philosophy, on the other. By considering classical film-theoretical texts and their filmic objects in the light of vitalist ideas percolating in scientific and philosophical texts of the time, Cinematic Vitalism reveals the formation of a modernist, experimental and cinematic strand of vitalism in and around the movie theater. The book focuses on the key concepts including rhythm, environment, mood, and development to show how the cinematic vitalism articulated by film theorists and filmmakers maps out connections among human beings, milieus, and technologies that continue to structure our understanding of film.
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Vladas, Sidoravicius, and Smirnov S. (Stanislav) 1970-, eds. Probability and statistical physics in St. Petersburg: St. Petersburg School in Probability and Statistical Physics : June 18-29, 2012 : St. Petersburg State University, St. Petersburg, Russia. Providence, Rhode Island: American Mathematical Society, 2015.

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O, Seppäläinen Timo, ed. A course on large deviations with an introduction to Gibbs measures. Providence, Rhode Island: American Mathematical Society, 2015.

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Herrmann, Samuel. Stochastic resonance: A mathematical approach in the small noise limit. Providence, Rhode Island: American Mathematical Society, 2014.

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1966-, Ellwood D. (David), and Brazilian School of Probability (14th : 2010 : Armação dos Búzios, Brazil), eds. Probability and statistical physics in two and more dimensions: Clay Mathematics Institute Summer School and XIV Brazilian School of Probability, Búzios, Brazil, July 11-August 7, 2010. Providence, R.I: American Mathematical Society, 2012.

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1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Providence, R.I: American Mathematical Society, 2011.

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1931-, Kesten Harry, ed. Percolation theory and ergodic theory of infinite particle systems. New York: Springer-Verlag, 1987.

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Book chapters on the topic "Percolation Theorie"

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Coniglio, Antonio, and Annalisa Fierro. "Correlated Percolation." In Complex Media and Percolation Theory, 61–88. New York, NY: Springer US, 2021. http://dx.doi.org/10.1007/978-1-0716-1457-0_104.

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Knackstedt, Mark, and Lincoln Paterson. "Invasion Percolation." In Complex Media and Percolation Theory, 175–90. New York, NY: Springer US, 2009. http://dx.doi.org/10.1007/978-1-0716-1457-0_294.

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De Gregorio, Paolo, Aonghus Lawlor, and Kenneth A. Dawson. "Bootstrap Percolation." In Complex Media and Percolation Theory, 149–73. New York, NY: Springer US, 2021. http://dx.doi.org/10.1007/978-1-0716-1457-0_41.

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G. Hunt, Allen. "Percolation Theory." In Percolation Theory for Flow in Porous Media, 1–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11430957_1.

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Sinai, Yakov G. "The Problem of Percolation." In Probability Theory, 89–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-02845-2_10.

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Wierman, John C. "Exact Percolation Thresholds." In Complex Media and Percolation Theory, 15–24. New York, NY: Springer US, 2009. http://dx.doi.org/10.1007/978-1-0716-1457-0_390.

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D’Souza, Raissa M. "Explosive Percolation Processes." In Complex Media and Percolation Theory, 405–18. New York, NY: Springer US, 2021. http://dx.doi.org/10.1007/978-1-0716-1457-0_628.

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Sahimi, Muhammad. "Percolation Phase Transition." In Complex Media and Percolation Theory, 1–9. New York, NY: Springer US, 2021. http://dx.doi.org/10.1007/978-1-0716-1457-0_387.

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Duxbury, Phillip M. "Elastic Percolation Networks." In Complex Media and Percolation Theory, 343–64. New York, NY: Springer US, 2021. http://dx.doi.org/10.1007/978-1-0716-1457-0_170.

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Sahimi, Muhammad. "Introduction to Percolation." In Complex Media and Percolation Theory, 11–14. New York, NY: Springer US, 2021. http://dx.doi.org/10.1007/978-1-0716-1457-0_385.

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Conference papers on the topic "Percolation Theorie"

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Amor, Soufian Ben, Vincent Levorato, and Ivan Lavallee. "Generalized Percolation Processes Using Pretopology Theory." In 2007 IEEE International Conference on Research, Innovation and Vision for the Future. IEEE, 2007. http://dx.doi.org/10.1109/rivf.2007.369146.

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Sarkar, Amites, and Martin Haenggi. "Percolation in the secrecy graph." In 2011 Information Theory and Applications Workshop (ITA). IEEE, 2011. http://dx.doi.org/10.1109/ita.2011.5743576.

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Chou, S. I. "Percolation Theory of Foam in Porous Media." In SPE/DOE Enhanced Oil Recovery Symposium. Society of Petroleum Engineers, 1990. http://dx.doi.org/10.2118/20239-ms.

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Parlar, M., and Y. C. Yortsos. "Percolation Theory of Steam/Water Relative Permeability." In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, 1987. http://dx.doi.org/10.2118/16969-ms.

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Chorna, Daria, and Ganna Chovpan. "PREVENTION OF FOREST FIRES USING PERCOLATION THEORY." In The results of scientific mind's development: 2019. 유럽과학플랫폼, 2019. http://dx.doi.org/10.36074/22.12.2019.v1.37.

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Xue, Yibin, Frank Abdi, Gregory N. Morscher, and Sung Choi. "Non-Destructive Ceramic Matrix Composite Impact Modeling Validation." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94728.

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Abstract:
Ceramic matrix composite (CMC) materials technology is of fundamental importance to gas turbine engine application. FOD (foreign Object Damage) in CMC components can result in component localized damage and a loss of post-impact performance. CMC impact generates a varying degree of damage from localized surface damage to complete penetration depending on the severity of impact events. Ceramic Composite equivalent electrical properties are computed based on simplified Multi-scale micromechanics equations. Electrical resistance and/or conductivity are computed utilizing the constituent material properties, effective medium, and percolation theories. Ceramic composite electrical properties simulation requires the algorithm development that combines the effective medium and percolation theories. A physically based percolation model is implemented to characterize the effective electrical conductivity of heterogeneous composites by means of the combination of effective medium (EM) and percolation equations with universal exponents. It is shown that the present model correlates well with the experimental electrical resistivity and acoustic emission data. The change in electrical resistivity after impact is compared with test data of a SA-SiC fiber reinforced SiC matrix composite. The predicted damage after impact and the trend of damage volume correlated well with experimental observations of damage shape and reduction in electrical resistance. Thus, an empirical relationship between damage volume and mechanisms and electrical resistance are developed and presented.
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Zhenning Kong and Edmund M. Yeh. "Percolation processes and wireless network resilience." In 2008 Information Theory and Applications Workshop (ITA). IEEE, 2008. http://dx.doi.org/10.1109/ita.2008.4601090.

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Dousse, Olivier. "Percolation in directed random geometric graphs." In 2012 IEEE International Symposium on Information Theory - ISIT. IEEE, 2012. http://dx.doi.org/10.1109/isit.2012.6284262.

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Polikarpov, Mikhail I., P. V. Buividovich, and Valentin I. Zakharov. "Rigidity and percolation of center vortices." In The XXV International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0324.

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Lottini, Stefano, and Ferdinando Gliozzi. "The glue-ball spectrum of pure percolation." In XXIIIrd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0292.

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Reports on the topic "Percolation Theorie"

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Klein, W., S. Redner, and H. E. Stanley. Percolation and Low Density Materials: Theory and Applications. Fort Belvoir, VA: Defense Technical Information Center, May 1986. http://dx.doi.org/10.21236/ada169204.

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Klein, William. Percolation and Low Density Materials: Theory and Applications. Fort Belvoir, VA: Defense Technical Information Center, June 1990. http://dx.doi.org/10.21236/ada224237.

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