Percolation Theory Using Python
eBook - ePub

Percolation Theory Using Python

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Percolation Theory Using Python

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.

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Yes, you can access Percolation Theory Using Python by Anders Malthe-Sørenssen in PDF and/or ePUB format, as well as other popular books in Physical Sciences & System Theory. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Springer
Year
2024
Print ISBN
9783031598999
eBook ISBN
9783031599002

Table of contents

  1. Cover
  2. Front Matter
  3. 1. Introduction to Percolation
  4. 2. One-Dimensional Percolation
  5. 3. Infinite-Dimensional Percolation
  6. 4. Finite-Dimensional Percolation
  7. 5. Geometry of Clusters
  8. 6. Finite Size Scaling
  9. 7. Renormalization
  10. 8. Subset Geometry
  11. 9. Flow in Disordered Media
  12. 10. Elastic Properties of Disordered Media
  13. 11. Diffusion in Disordered Media
  14. 12. Dynamic Processes in Disordered Media
  15. Back Matter