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Percolation theory using Python

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Percolation theory using Python/ by Anders Malthe-Sørenssen.
作者:	Malthe-Sørenssen, Anders.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	x, 214 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Percolation (Statistical physics) -
電子資源:	https://doi.org/10.1007/978-3-031-59900-2
ISBN:	9783031599002

Percolation theory using Python
Malthe-Sørenssen, Anders.

Percolation theory using Python[electronic resource] /by Anders Malthe-Sørenssen. - Cham :Springer International Publishing :2024. - x, 214 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v. 10291616-6361 ;. - Lecture notes in physics ;v. 1029..

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.

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.

ISBN: 9783031599002

Standard No.: 10.1007/978-3-031-59900-2doiSubjects--Topical Terms:

711497
Percolation (Statistical physics)

LC Class. No.: QC174.85.P45 / M35 2024

Dewey Class. No.: 530.13

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505 0 $a 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.
506 $a Open access.
520 $a 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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