TY  - BOOK
AU  - Malthe-Sørenssen,Anders
ED  - SpringerLink (Online service)
TI  - Percolation Theory Using Python
T2  - Lecture Notes in Physics,
SN  - 9783031599002
AV  - QC174.7-175.36 
U1  - 530.13 23
PY  - 2024///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Statistical Physics
KW  - Condensed matter
KW  - System theory
KW  - Porous materials
KW  - Mathematical physics
KW  - Computer simulation
KW  - Geophysics
KW  - Phase Transition and Critical Phenomena
KW  - Complex Systems
KW  - Porous Materials
KW  - Computational Physics and Simulations
N1  - 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; Open Access
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-59900-2
ER  -