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010   $a9783031599002
024 7 $a10.1007/978-3-031-59900-2
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035   $a(MiAaPQ)EBC31520038
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035   $a(DE-He213)978-3-031-59900-2
035   $a(EXLCZ)9932609603300041
100   $a20240630d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aPercolation Theory Using Python /$fby Anders Malthe-Sørenssen
205   $a1st ed. 2024.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024.
215   $a1 online resource (221 pages)
225 1 $aLecture Notes in Physics,$x1616-6361 ;$v1029
311 08$a9783031598999 
327   $aIntroduction 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.
330   $aThis course-based open access textbook delves into percolation theory, examining the physical properties of random media?materials characterized by varying sizes of holes and pores. The focus is on both the mathematical foundations and the computational and statistical methods used in this field. Designed as a practical introduction, the book places particular emphasis on providing a comprehensive set of computational tools necessary for studying percolation theory. Readers will learn how to generate, analyze, and comprehend data and models, with detailed theoretical discussions complemented by accessible computer codes. The book's structure ensures a complete exploration of worked examples, encompassing theory, modeling, implementation, analysis, and the resulting connections between theory and analysis. Beginning with a simplified model system?a model porous medium?whose mathematical theory is well-established, the book subsequently applies the same framework to realistic random systems. Key topics covered include one- and infinite-dimensional percolation, clusters, scaling theory, diffusion in disordered media, and dynamic processes. Aimed at graduate students and researchers, this textbook serves as a foundational resource for understanding essential concepts in modern statistical physics, such as disorder, scaling, and fractal geometry.
410  0$aLecture Notes in Physics,$x1616-6361 ;$v1029
606   $aStatistical physics
606   $aCondensed matter
606   $aSystem theory
606   $aPorous materials
606   $aMathematical physics
606   $aComputer simulation
606   $aGeophysics
606   $aStatistical Physics
606   $aPhase Transition and Critical Phenomena
606   $aComplex Systems
606   $aPorous Materials
606   $aComputational Physics and Simulations
606   $aGeophysics
615  0$aStatistical physics.
615  0$aCondensed matter.
615  0$aSystem theory.
615  0$aPorous materials.
615  0$aMathematical physics.
615  0$aComputer simulation.
615  0$aGeophysics.
615 14$aStatistical Physics.
615 24$aPhase Transition and Critical Phenomena.
615 24$aComplex Systems.
615 24$aPorous Materials.
615 24$aComputational Physics and Simulations.
615 24$aGeophysics.
676   $a530.13
700   $aMalthe-Sørenssen$b Anders$0792273
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910869180003321
996   $aPercolation Theory Using Python$94180219
997   $aUNINA