Overview
- This book is open access, which means that you have free and unlimited access
- Contains worked examples with complete computer code in Python
- Focuses on comprehending noisy data generated by students to enhance understanding
- Tailored for and tested on a diverse, cross-disciplinary audience
Part of the book series: Lecture Notes in Physics (LNP, volume 1029)
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About this book
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.
Keywords
Table of contents (12 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Anders Malthe-Sørenssen is the director of the Center for Computing in Science Education, a Center for Excellence in Education, and a Professor of Physics at the University of Oslo. His research interests span the nanoscale and statistical physics, friction, physics of geological processes, neuroscience and AI. Currently, his teaching efforts are focused on revitalizing undergraduate science courses by seamlessly integrating computational methods, providing students with early exposure to research and industrially relevant problems.
Bibliographic Information
Book Title: Percolation Theory Using Python
Authors: Anders Malthe-Sørenssen
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-031-59900-2
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2024
Softcover ISBN: 978-3-031-59899-9Published: 30 June 2024
eBook ISBN: 978-3-031-59900-2Published: 29 June 2024
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: X, 214
Number of Illustrations: 21 b/w illustrations, 55 illustrations in colour
Topics: Theoretical, Mathematical and Computational Physics, Condensed Matter Physics, Materials Science, general, Complex Systems, Chemistry/Food Science, general, Energy Materials