Percolation Theory Using Python
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. De...
Sábháilte in:
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| Formáid: | Online |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Springer Nature
2024
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| Ábhair: | |
| Rochtain ar líne: | ONIX_20240716_9783031599002_21 |
| Clibeanna: |
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
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| _version_ | 1869524070037454848 |
|---|---|
| author | Malthe-Sørenssen, Anders |
| author_browse | Malthe-Sørenssen, Anders |
| author_facet | Malthe-Sørenssen, Anders |
| author_sort | Malthe-Sørenssen, Anders |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-142429 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1424292024-07-23T07:02:27Z Percolation Theory Using Python Malthe-Sørenssen, Anders fractal models critical phenomena in statistical physics disordered systems scaling theory anomalous diffusion random media textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHS Statistical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHF Materials / States of matter::PHFC Condensed matter physics (liquid state and solid state physics) thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory::GPFC Cybernetics and systems theory thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMM Engineering applications of electronic, magnetic, optical materials thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics::PHVG Geophysics 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. 2024-07-23T07:02:24Z 2024-07-23T07:02:24Z 2024-07-16T18:51:14Z 2024 book ONIX_20240716_9783031599002_21 https://library.oapen.org/handle/20.500.12657/92326 9783031599002 9783031598999 https://directory.doabooks.org/handle/20.500.12854/142429 eng Lecture Notes in Physics open access image/jpeg n/a https://library.oapen.org/bitstream/20.500.12657/92326/1/978-3-031-59900-2.pdf Springer Nature Springer International Publishing 10.1007/978-3-031-59900-2 10.1007/978-3-031-59900-2 9fa3421d-f917-4153-b9ab-fc337c396b5a cc798993-5d17-4813-9340-47b6b8ec5869 9783031599002 9783031598999 Springer International Publishing 214 Cham [...] open access |
| spellingShingle | fractal models critical phenomena in statistical physics disordered systems scaling theory anomalous diffusion random media textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHS Statistical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHF Materials / States of matter::PHFC Condensed matter physics (liquid state and solid state physics) thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory::GPFC Cybernetics and systems theory thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMM Engineering applications of electronic, magnetic, optical materials thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics::PHVG Geophysics Malthe-Sørenssen, Anders Percolation Theory Using Python |
| title | Percolation Theory Using Python |
| title_full | Percolation Theory Using Python |
| title_fullStr | Percolation Theory Using Python |
| title_full_unstemmed | Percolation Theory Using Python |
| title_short | Percolation Theory Using Python |
| title_sort | percolation theory using python |
| topic | fractal models critical phenomena in statistical physics disordered systems scaling theory anomalous diffusion random media textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHS Statistical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHF Materials / States of matter::PHFC Condensed matter physics (liquid state and solid state physics) thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory::GPFC Cybernetics and systems theory thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMM Engineering applications of electronic, magnetic, optical materials thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics::PHVG Geophysics |
| topic_facet | fractal models critical phenomena in statistical physics disordered systems scaling theory anomalous diffusion random media textbook thema EDItEUR::P Mathematics and Science::PH Physics::PHS Statistical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHF Materials / States of matter::PHFC Condensed matter physics (liquid state and solid state physics) thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general::GPF Information theory::GPFC Cybernetics and systems theory thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMM Engineering applications of electronic, magnetic, optical materials thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics::PHVG Geophysics |
| url | ONIX_20240716_9783031599002_21 |
| work_keys_str_mv | AT malthesørenssenanders percolationtheoryusingpython |