Percolation theory using Python

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. De...

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Hlavný autor: Malthe-Sørenssen, Anders
Médium: E-kniha Kniha
Jazyk:English
Vydavateľské údaje: Cham Springer 2024
Springer Nature
Springer International Publishing
Springer International Publishing AG
Vydanie:1
Edícia:Lecture Notes in Physics
Predmet:
anomalous diffusion
Applied physics
Condensed matter physics (liquid state and solid state physics)
critical phenomena in statistical physics
Cybernetics and systems theory
disordered systems
Engineering applications of electronic, magnetic, optical materials
fractal models
Geophysics
Information theory
Materials / States of matter
Materials science
Mathematical physics
Mathematics and Science
Mechanical engineering and materials
Percolation (Statistical physics)
Physics
Python (Computer program language)
random media textbook
Reference, Information and Interdisciplinary subjects
Research and information: general
scaling theory
SCIENCE
Statistical physics
Technology, Engineering, Agriculture, Industrial processes
ISBN:3031598997, 9783031598999, 3031599004, 9783031599002
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Popis
Shrnutí: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.
Bibliografia:Includes bibliographical references (pages 209-210) and index
Content Type: text (ncrcontent), Media Type: unmediated (ncrmedia), Carrier Type: volume (ncrcarrier)
ISBN:3031598997
9783031598999
3031599004
9783031599002
DOI:10.1007/978-3-031-59900-2