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Percolation theory using Python

Record Type:	Electronic resources : Monograph/item
Title/Author:	Percolation theory using Python/ by Anders Malthe-Sørenssen.
Author:	Malthe-Sørenssen, Anders.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	x, 214 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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
Subject:	Percolation (Statistical physics) -
Online resource:	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

Percolation theory using Python
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245 1 0 $a Percolation theory using Python $h [electronic resource] / $c by Anders Malthe-Sørenssen.
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300 $a x, 214 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 1616-6361 ; $v v. 1029
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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650 2 4 $a Phase Transition and Critical Phenomena. $3 3606560
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Porous Materials. $3 3591875
650 2 4 $a Computational Physics and Simulations. $3 3538874
650 2 4 $a Geophysics. $3 535228
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830 0 $a Lecture notes in physics ; $v v. 1029. $3 3719609
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950 $a Physics and Astronomy (SpringerNature-11651)