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Percolation Theory Using Python / by Anders Malthe-Sørenssen

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Lecture Notes in Physics ; 1029Publisher: Cham : Springer International Publishing, 2024Publisher: Cham : Imprint: Springer, 2024Edition: 1st ed. 2024Description: 1 Online-Ressource(X, 214 p. 76 illus., 55 illus. in color.)ISBN:
  • 9783031599002
Subject(s): Additional physical formats: 9783031598999 | 9783031599019 | Erscheint auch als: 9783031598999 Druck-Ausgabe | Erscheint auch als: 9783031599019 Druck-Ausgabe | Erscheint auch als: Percolation theory using Python. Druck-Ausgabe Cham, Switzerland : Springer, 2024. x, 214 SeitenDDC classification:
  • 530.13 23
DOI: DOI: 10.1007/978-3-031-59900-2Online resources: Summary: Introduction to Percolation -- One-dimensional Percolation -- Infinite-dimensional Percolation -- Finite-dimensional Percolation -- Geometry of Clusters -- Finite Size Scaling -- Renormalization -- Subset Geometry -- Flow in Disordered Media -- Elastic Properties of Disordered Media -- Diffusion in Disordered Media -- Dynamic Processes in Disordered Media -- References -- Index.Summary: This course-based open access textbook delves into percolation theory, examining the physical properties of random media—materials characterized by varying sizes of holes and pores. The focus is on both the mathematical foundations and the computational and statistical methods used in this field. Designed as a practical introduction, the book places particular emphasis on providing a comprehensive set of computational tools necessary for studying percolation theory. Readers will learn how to generate, analyze, and comprehend data and models, with detailed theoretical discussions complemented by accessible computer codes. The book's structure ensures a complete exploration of worked examples, encompassing theory, modeling, implementation, analysis, and the resulting connections between theory and analysis. Beginning with a simplified model system—a model porous medium—whose mathematical theory is well-established, the book subsequently applies the same framework to realistic random systems. Key topics covered include one- and infinite-dimensional percolation, clusters, scaling theory, diffusion in disordered media, and dynamic processes. Aimed at graduate students and researchers, this textbook serves as a foundational resource for understanding essential concepts in modern statistical physics, such as disorder, scaling, and fractal geometry.PPN: PPN: 189310866XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-PHA | ZDB-2-SXP | ZDB-2-LNP | ZDB-2-SOB
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