Percolation Theory Using Python (Paperback)

Anders Malthe-Sorenssen

ISBN 10: 3031598997 / ISBN 13: 9783031598999

Published by Springer International Publishing AG, Cham, 2024

About this Item

Paperback. This course-based open access textbook delves into percolation theory, examining the physical properties of random mediamaterials 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 systema model porous mediumwhose 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783031598999

Bibliographic Details

• Title: Percolation Theory Using Python (Paperback)
• Publisher: Springer International Publishing AG, Cham
• Publication Date: 2024
• Language: English
• ISBN 10: 3031598997
• ISBN 13: 9783031598999
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

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.