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Relevant bibliographies by topics / Percolation cluster

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Academic literature on the topic 'Percolation cluster'

Author: Grafiati

Published: 28 May 2022

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Journal articles on the topic "Percolation cluster"

1

Akritidis, Michail, Nikolaos G. Fytas, and Martin Weigel. "Corrections to scaling in geometrical clusters of the 2D Ising model." Journal of Physics: Conference Series 2207, no. 1 (2022): 012004. http://dx.doi.org/10.1088/1742-6596/2207/1/012004.

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Abstract We study the scaling of the average cluster size and percolation strength of geometrical clusters for the two-dimensional Ising model. By means of Monte Carlo simulations and a finite-size scaling analysis we discuss the appearance of corrections to scaling for different definitions of cluster sets. We find that including all percolating clusters, or excluding only clusters that percolate in one but not the other direction, leads to smaller corrections to scaling for the average cluster size as compared to the other definitions considered. The percolation strength is less sensitive to

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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 (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

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Paredes V., Ricardo, and Miguel Octavio. "Invasion percolation into a percolating cluster." Physical Review A 46, no. 2 (1992): 994–1001. http://dx.doi.org/10.1103/physreva.46.994.

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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 (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 indicate

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Adler, Joan, and Amnon Aharony. "Percolation cluster numbers." Journal of Statistical Physics 52, no. 1-2 (1988): 509–17. http://dx.doi.org/10.1007/bf01016433.

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TANG, QIANG. "SCALING BEHAVIOR OF DIFFUSION LIMITED AGGREGATION IN PERCOLATION CLUSTER." Modern Physics Letters B 22, no. 07 (2008): 507–13. http://dx.doi.org/10.1142/s0217984908015036.

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This paper presents a computer model of diffusion limited aggregation (DLA) in percolation cluster. Simulation of the aggregation clusters in percolation cluster with varying occupancy probability is performed, and their fractal dimension and multifractal spectrum are obtained. The simulation results show that the percolation cluster has stronger effects on the aggregation clusters' pattern structure when occupancy probability is smaller. The dimension Df of aggregation clusters increases together with the increase of occupancy probability. Furthermore, the multifractal spectra f(α) curve beco

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Einasto, J., I. Suhhonenko, L. J. Liivamägi, and M. Einasto. "Extended percolation analysis of the cosmic web." Astronomy & Astrophysics 616 (August 2018): A141. http://dx.doi.org/10.1051/0004-6361/201833011.

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Aims. We develop an extended percolation method to allow the comparison of geometrical properties of the real cosmic web with the simulated dark matter (DM) web for an ensemble of over- and under-density systems. Methods. We scanned density fields of DM model and Sloan Digital Sky Survey (SDSS) observational samples and found connected over- and under-density regions in a large range of threshold densities. Lengths, filling factors, and numbers of largest clusters and voids as functions of the threshold density were used as percolation functions. Results. We find that percolation functions of

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TIGGEMANN, DANIEL. "FLUCTUATIONS OF CLUSTER NUMBERS IN PERCOLATION." International Journal of Modern Physics C 13, no. 06 (2002): 777–81. http://dx.doi.org/10.1142/s0129183102003504.

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In order to study fluctuations in percolating systems, lattices for sizes up to L = 100 000 have been simulated several thousand times using the Hoshen–Kopelman algorithm. Distributions of cluster numbers are Gaussians for small clusters and half-sided quasi-Gaussians for large clusters. The variance of cluster numbers is proportional to the mean, with power-law deviations for small clusters. Higher moments like skewness and kurtosis were also studied.

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Penrose, Mathew D. "On a continuum percolation model." Advances in Applied Probability 23, no. 03 (1991): 536–56. http://dx.doi.org/10.1017/s0001867800023727.

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Consider particles placed in space by a Poisson process. Pairs of particles are bonded together, independently of other pairs, with a probability that depends on their separation, leading to the formation of clusters of particles. We prove the existence of a non-trivial critical intensity at which percolation occurs (that is, an infinite cluster forms). We then prove the continuity of the cluster density, or free energy. Also, we derive a formula for the probability that an arbitrary Poisson particle lies in a cluster consisting of k particles (or equivalently, a formula for the density of suc

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Penrose, Mathew D. "On a continuum percolation model." Advances in Applied Probability 23, no. 3 (1991): 536–56. http://dx.doi.org/10.2307/1427621.

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Consider particles placed in space by a Poisson process. Pairs of particles are bonded together, independently of other pairs, with a probability that depends on their separation, leading to the formation of clusters of particles. We prove the existence of a non-trivial critical intensity at which percolation occurs (that is, an infinite cluster forms). We then prove the continuity of the cluster density, or free energy. Also, we derive a formula for the probability that an arbitrary Poisson particle lies in a cluster consisting ofkparticles (or equivalently, a formula for the density of such

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Dissertations / Theses on the topic "Percolation cluster"

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Basu, Deepan. "Generalizations and Interpretations of Incipient Infinite Cluster measure on Planar Lattices and Slabs." Doctoral thesis, Universitätsbibliothek Leipzig, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-223724.

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This thesis generalizes and interprets Kesten\'s Incipient Infinite Cluster (IIC) measure in two ways. Firstly we generalize Járai\'s result which states that for planar lattices the local configurations around a typical point taken from crossing collection is described by IIC measure. We prove in Chapter 2 that for backbone, lowest crossing and set of pivotals, the same hold true with multiple armed IIC measures. We develop certain tools, namely Russo Seymour Welsh theorem and a strong variant of quasi-multiplicativity for critical percolation on 2-dimensional slabs in Chapters 3 and 4 respec

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Tassion, Vincent. "Planarité et Localité en Percolation." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2014. http://tel.archives-ouvertes.fr/tel-01061007.

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Cette thèse s'inscrit dans l'étude mathématique de la percolation, qui regroupe une famille de modèles présentant une transition de phase. Des avancées majeures au cours des quinze dernières années, notamment l'invention du SLE et la preuve de l'invariance conforme de la percolation de Bernoulli critique, nous permettent aujourd'hui d'avoir une image très complète de la percolation de Bernoulli sur le réseau triangulaire. Cependant, de nombreuses questions demeurent ouvertes, et ont motivé notre travail.La première d'entre elle est l'universalité de la percolation plane, qui affirme que les pr

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Grigg, John Antony Hugh. "Superconductive Effects in Thin Cluster Films." Thesis, University of Canterbury. Department of Physics and Astronomy, 2012. http://hdl.handle.net/10092/10376.

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In this thesis, the superconductive and superresistive properties of thin percolating films of lead nanoclusters are presented. The samples were created by depositing clusters from an inert gas aggregation cluster source onto substrates held at either room temperature or 10K. Observations of the characteristic behaviours of the samples were made through R(T ) and V (I) measurements. Several interesting features were observed - smooth and discrete steps in the R(I) curves, hysteresis between increasing and decreasing bias currents, and non-zero resistances at superconducting temperatures. Expl

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Bouabci, Mauricio Borges. "Algoritmos de Cluster e Percolação." Universidade de São Paulo, 1998. http://www.teses.usp.br/teses/disponiveis/43/43133/tde-25022014-154840/.

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O objetivo principal deste trabalho é o de investigar relações entre mapeamentos de modelos de spin em modelos de percolação e a existência de algoritmos de cluster capazes de simular de forma eficiente o modelo. Apresentamos um mapeamento do modelo de Blume-Capel em um modelo de percolação que permite reobter um algoritmo proposto anteriormente por nós através de uma prova de balanço detalhado, o que abre a possibilidade de descrevermos todo o diagrama de fases do modelo em termos de propriedades dos clusters formados. Isto é particularmente interessante, já que o modelo possui um ponto tricr

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Houdebert, Pierre. "Continuum Random Cluster Model." Thesis, Lille 1, 2017. http://www.theses.fr/2017LIL10042/document.

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Cette thèse s'intéresse au Continuum Random Cluster Model (CRCM), modèle gibbsien de boules aléatoires où la densité dépend du nombre de composantes connexes de la structure. Ce modèle est une version continue du Random Cluster Model introduit pour unifier l'étude des modèles d'Ising et de Potts. Le CRCM fut introduit pour sa relation avec le modèle de Widom-Rowlinson, fournissant une nouvelle preuve de la transition de phase pour ce modèle. Dans cette thèse nous étudions dans un premier temps l'existence du CRCM en volume infinie. Dans le cas extrême des rayons non-intégrables, nous démontron

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Mély, Hubert. "Modélisation de la transformation de biomatériaux par un modèle de percolation." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2011. http://tel.archives-ouvertes.fr/tel-00672081.

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Les biomatériaux interviennent dans de nombreuses applications médicales. La connaissance de leur évolution une fois implantés dans l'organisme est primordiale pour les améliorer et en créer de nouveaux. Dans cette optique, nous avons réalisé une modélisation à deux dimensions de la transformation d'un biomatériau en os. Pour cette modélisation, nous utilisons la théorie de la percolation. Celle-ci traite de la transmission d'information à travers un milieu où sont distribués un très grand nombre de sites pouvant localement relayer cette information. Nous présentons un modèle de double percola

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Raoufi, Aran. "Topics on the Phase Transition of the Lattice Models of Statistical Physics." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS572.

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Le thème de cette thèse est l’utilisation de méthodes probabilistes (plus spécifiquement de technique venant de la théorie de la percolation) pour mener une analyse non-perturbative de plusieurs modèles de physique statistique. La thèse est centrée sur les systèmes de spins et les modèles de percolation. Cette famille de modèle comprend le modèle d’Ising, le modèle de Potts, la percolation de Bernoulli, la percolation de Fortuin-Kasteleyn et les modèles de percolation continue. L’objectif principal de la thèse est de démontrer la décroissance exponentielle des corrélations au-dessus de la temp

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Fribergh, Alexander. "Marches aléatoires en milieux aléatoires et phénomènes de ralentissement." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00653469.

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Les marches aléatoires en milieux aléatoires constituent un modèle permettant de décrire des phénomènes de diffusion en milieux inhomogènes, possédant des propriétés de régularité à grande échelle. La thèse comportent 6 chapitres. Les trois premiers sont introductifs : le chapitre 1 est une courte introduction générale, le chapitre 2 donne une présentation des modèles considérés par la suite et le chapitre 3 un bref aperçu des résultats obtenus. Les preuves sont renvoyées aux chapitres 4, 5 et 6. Le contenu du chapitre 4 porte sur les théorèmes limites pour une marche aléatoire avec biais sur

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Hallberg, Per. "Gibbs Measures and Phase Transitions in Potts and Beach Models." Doctoral thesis, KTH, Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3837.

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<p>The theory of Gibbs measures belongs to the borderlandbetween statistical mechanics and probability theory. In thiscontext, the physical phenomenon of phase transitioncorresponds to the mathematical concept of non-uniqueness for acertain type of probability measures.</p><p>The most studied model in statistical mechanics is thecelebrated Ising model. The Potts model is a natural extensionof the Ising model, and the beach model, which appears in adifferent mathematical context, is in certain respectsanalogous to the Ising model. The two main parts of this thesisdeal with the Potts model and t

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Delye, de Clauzade de Mazieux Alexandre. "Etude théorique des clusters multi-sauts dans les réseaux de capteurs sans fils." Paris 6, 2007. http://www.theses.fr/2007PA066192.

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Books on the topic "Percolation cluster"

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Boudreau, Joseph F., and Eric S. Swanson. Percolation and universality. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0008.

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Percolation deals with global properties of random configurations of local objects. While simple to implement in models, understanding percolation requires skill in pattern recognition and analysis. A cluster recognition algorithm is developed to obtain properties of percolation models. The fractal nature of a percolating system is discussed, along with general features of fractals. Scaling laws and critical exponents, which are central features of modern approaches to complex systems, are also introduced and illustrated with percolating systems. The important concept of a correlation function

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Newman, Mark. Percolation and network resilience. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805090.003.0015.

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A discussion of the site percolation process on networks and its application as a model of network resilience. The chapter starts with a description of the percolation process, in which nodes are randomly removed from a network, and of the percolation phase transition at which a giant percolating cluster forms. The properties of percolation on configuration model networks are studied, including networks with power-law degree distributions, and including both uniform and non-uniform removal of nodes. Computer algorithms for simulating percolation on real-world networks are also discussed, and n

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T, Barlow M., ed. Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Research Institute for Mathematical Sciences, 2006.

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Herega, Alexander. The Selected Models of the Mesostructure of Composites: Percolation, Clusters, and Force Fields. Springer, 2018.

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Book chapters on the topic "Percolation cluster"

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Stauffer, Dietrich. "Percolation and Cluster Size Distribution." In On Growth and Form. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-5165-5_5.

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Benjamini, Itai. "Uniqueness of the Infinite Percolation Cluster." In Lecture Notes in Mathematics. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02576-6_9.

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Cheon, M., and I. Chang. "Fragmentation Scaling of the Percolation Cluster." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-46851-3_12.

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Hunt, Allen, and Robert Ewing. "Applications of the Cluster Statistics." In Percolation Theory for Flow in Porous Media. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-89790-3_9.

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G. Hunt, Allen. "Applications of the Cluster Statistics." In Percolation Theory for Flow in Porous Media. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11430957_7.

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Hunt, Allen, Robert Ewing, and Behzad Ghanbarian. "Applications of the Cluster Statistics." In Percolation Theory for Flow in Porous Media. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-03771-4_10.

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Grimmett, Geoffrey R. "Inequalities and Entanglements for Percolation and Random-Cluster Models." In Perplexing Problems in Probability. Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-2168-5_5.

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Aizenman, M., H. Kesten, and C. M. Newman. "Uniqueness of the Infinite Cluster and Related Results in Percolation." In Percolation Theory and Ergodic Theory of Infinite Particle Systems. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4613-8734-3_2.

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Welsh, Dominic. "Percolation and the Random Cluster Model: Combinatorial and Algorithmic Problems." In Algorithms and Combinatorics. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-12788-9_5.

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Pekcan, Ö., and S. Ugur. "Dissolution of a percolation cluster on UV-cured polymeric films: a fluorescence study." In Surface and Colloid Science. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/b97090.

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Conference papers on the topic "Percolation cluster"

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Paul, Gerald. "Beyond Blobs in Percolation Cluster Structure." In MODELING OF COMPLEX SYSTEMS: Seventh Granada Lectures. AIP, 2003. http://dx.doi.org/10.1063/1.1571290.

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Shi, Xiao Hong, Chun Yang, Jian Quan Hu, Yu Ming Yang, and Chuan Ji Fu. "Explosive percolation with cluster aggregation model." In 2013 IEEE International Conference on Applied Superconductivity and Electromagnetic Devices (ASEMD). IEEE, 2013. http://dx.doi.org/10.1109/asemd.2013.6780789.

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GOBET, F., B. FARIZON, M. FARIZON, et al. "HYDROGEN CLUSTER MULTIFRAGMENTATION AND PERCOLATION MODELS." In Proceedings of the Conference “Bologna 2000: Structure of the Nucleus at the Dawn of the Century”. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810939_0030.

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Ohnishi, H., and M. S. Watanabe. "TSALLIS STATISTICS FOR CLUSTER-SIZE DISTRIBUTIONS IN PERCOLATION." In Proceedings of the 8th Asia-Pacific Physics Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811523_0057.

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Pant, Mihir, Hyeongrak Choi, Saikat Guha, and Dirk Englund. "Percolation Based Cluster State Generation by Photon-Mediated Entanglement." In CLEO: QELS_Fundamental Science. OSA, 2018. http://dx.doi.org/10.1364/cleo_qels.2018.fth1g.6.

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Roy, Bappaditya, and S. B. Santra. "Continuous percolation transition in suppressed random cluster growth model." In INTERNATIONAL CONFERENCE ON CONDENSED MATTER AND APPLIED PHYSICS (ICC 2015): Proceeding of International Conference on Condensed Matter and Applied Physics. Author(s), 2016. http://dx.doi.org/10.1063/1.4946183.

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Lapshina, S. Yu. "The Optimal Processor Cores' Number choice for the Parallel Cluster Multiple Labeling Technique on HighPerformance Computing Systems." In Всероссийская научная конференция "Единое цифровое пространство научных знаний: проблемы и решения". Москва, Берлин: Директмедиа Паблишинг, 2021. http://dx.doi.org/10.51218/978-5-4499-1905-2-2021-311-319.

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The article is about the research of a optimum number of processor cores for launching the Parallel Cluster Multiple Labeling Technique on modern supercomputer systems installed in the JSCC RAS. This technique may be used in any field as a tool for differentiating large lattice clusters, because it is given input in a format independent of the application. At the JSCC RAS, this tool was used to study the problem of the spread of epidemics, for which an appropriate multiagent model was developed. In the course of imitation experiments, a variant of the Parallel Cluster Multipl

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Craciunescu, Oana, and Scott T. Clegg. "Towards the Understanding of Blood Perfusion in Tumor Vascular Networks Using Contrast-Enhanced MRI and Invasion Percolation." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0809.

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Abstract Accurate knowledge of the hyperthermia induced power deposition and temperature patterns are necessary to optimize the hyperthermia dose. A critical factor influencing the hyperthermia induced temperature distribution is the tumor blood perfusion. Hence, perfusion information must be available to optimize the hyperthermia therapy dose. Previous efforts to describe the tumor blood perfusion distribution for thermal analysis have relied upon the “classical” perfusion model of a highly perfused periphery and a necrotic core. However, biological structures, i.e. tumor perfusion, often can

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Murakami, Daisuke, and Kenji Yasuoka. "Molecular Dynamics Simulation of Quasi-Two-Dimensional Water Network on Ice Nucleation Protein." In ASME/JSME 2011 8th Thermal Engineering Joint Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajtec2011-44609.

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An ice nucleation protein induces a phase transition from liquid water to ice in air. A specific hydrophilic surface of the protein may have an influence on the network of hydrogen bonds touching on the protein. However, microscopic characteristics of the ice nucleation protein and behavior of water molecules on it have not been clarified. So we carried out molecular dynamics simulations in various quasi-two-dimensional densities of water molecules on the ice nucleation protein. The percolation threshold of water clusters was confirmed. Comparing another hydrophilic protein, the threshold dens

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Lee, S. B., and Y. J. Song. "Self-avoiding walks on a percolation cluster in four dimensions." In Slow dynamics in condensed matter. AIP, 1992. http://dx.doi.org/10.1063/1.42432.

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Reports on the topic "Percolation cluster"

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Nguyen, Bao G. Typical Cluster Size for 2-Dim Percolation Processes. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada185519.

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Wang, Li, Vu Li, Huang Deng, and Chu Pan. Existence non-commutative clustering methods for optimizing a load of processor cores for multiple marking of percolation cluster algorithm. Web of Open Science, 2020. http://dx.doi.org/10.37686/ser.v1i1.3.

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