{"title":"Applications of Percolation Theory","authors":"M. Sahini, M. Sahimi","doi":"10.1201/9781482272444","DOIUrl":null,"url":null,"abstract":"Connectivity as the Essential Physics of Disordered Systems Elements of Percolation Theory Characterization of Porous Media Earthquakes, and Fracture and Fault in Patterns in Heterogeneous Rock Single-Phase Flow in Reservoir Rock Hydrodynamic Dispersion and Groundwater Flow in Rock Two-Phase Flow in Porous Media Transport, Reaction, and Deposition in Evolving Porous Media Fractal Diffusion and Reaction Kinetics Vibrations and Density of States of Disordered Materials Structural, Mechanical, and Rheological Properties of Branched Polymers and Gels Morphological and Transport Properties of Composite Media Hopping Conductivity of Semiconductors Percolation in Biological Systems.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"4 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"623","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Models & Methods in Applied Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1201/9781482272444","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 623
Abstract
Connectivity as the Essential Physics of Disordered Systems Elements of Percolation Theory Characterization of Porous Media Earthquakes, and Fracture and Fault in Patterns in Heterogeneous Rock Single-Phase Flow in Reservoir Rock Hydrodynamic Dispersion and Groundwater Flow in Rock Two-Phase Flow in Porous Media Transport, Reaction, and Deposition in Evolving Porous Media Fractal Diffusion and Reaction Kinetics Vibrations and Density of States of Disordered Materials Structural, Mechanical, and Rheological Properties of Branched Polymers and Gels Morphological and Transport Properties of Composite Media Hopping Conductivity of Semiconductors Percolation in Biological Systems.
期刊介绍:
The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems.
The principal areas of interest of this journal are the following:
1.Mathematical modelling of systems in applied sciences;
2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences;
3.Numerical and computer treatment of mathematical models or real systems.
Special attention will be paid to the analysis of nonlinearities and stochastic aspects.
Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents.
Book reviews, announcements and tutorial articles will be featured occasionally.