Percolation Theory Using Python - Lecture Notes in Physics - Anders Malthe-Sørenssen - 書籍 - Springer International Publishing AG - 9783031598999 - 2024年6月30日
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Anders Malthe-Sørenssen
Percolation Theory Using Python - Lecture Notes in Physics 2024 edition

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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.

214 pages, 55 Illustrations, color; 21 Illustrations, black and white; X, 200 p. 77 illus., 55 illus

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2024年6月30日
ISBN13 9783031598999
出版社 Springer International Publishing AG
ページ数 214
寸法 155 × 232 × 17 mm   ·   360 g
言語 ドイツ語  

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