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Applications Of Percolation Theory
Author: M Sahini
Publisher: CRC Press
Published: 2003-07-13
Total Pages: 289
ISBN-13: 0203221532
DOWNLOAD EBOOK →Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance. Examples include characterization of porous materials and reservoir rocks, fracture patterns and earthquakes in rocks, calculation of effective transport properties of porous media permeability, conductivity, diffusivity, etc., groundwater flow, polymerization and gelation, biological evolution, galactic formation in the universe, spread of knowledge, and many others. Most of such applications have resulted in qualitative as well as quantitative predictions for the system of interest. This book attempts to describe in simple terms some of these applications, outline the results obtained so far, and provide further references for future reading.
Percolation, Localization, and Superconductivity
Author: Allen Goldman
Publisher: Springer Science & Business Media
Published: 2013-11-22
Total Pages: 468
ISBN-13: 1461593948
DOWNLOAD EBOOK →The study of the effects of dimensional ity and disorder on phase transitions, electronic transport, and superconductivity has become an important field of research in condensed matter physics. These effects are both classical and quantum mechanical in nature and are observed universally in urealu materials. What may at first glance seem a diverse collection of lectures which form the chapters of these proceedings is in fact, an attempt to demon strate the commonality, inter-relationship, and general applica bility of the phenomena of localization, percolation, and macro scopic quantum effects on electrical transport and superconduc tivity in disordered solids. The theory of these phenomena is presented in a complete, yet, self-contained fashion and the inter-relationship between the topics is emphasized. An extensive treatment of experimental results is also included, both those which have stimulated the theory as well as those that have confirmed it. Many of the phenomena investigated in this field also have technological significance. For example, the nature of electronic localization in metals in which one or more dimensions are con strained is very important when one attempts to predict the be havior of the metallic interconnects in ultra-miniature circuits.
Percolation Theory for Flow in Porous Media
Author: Allen Hunt
Publisher: Springer Science & Business Media
Published: 2009-05-05
Total Pages: 334
ISBN-13: 3540897895
DOWNLOAD EBOOK →Why would we wish to start a 2nd edition of “Percolation theory for ?ow in porous media” only two years after the ?rst one was ?nished? There are essentially three reasons: 1) Reviews in the soil physics community have pointed out that the introductory material on percolation theory could have been more accessible. Our additional experience in teaching this material led us to believe that we could improve this aspect of the book. In the context of rewriting the ?rst chapter, however, we also expanded the discussion of Bethe lattices and their relevance for “classical” - ponents of percolation theory, thus giving more of a basis for the discussion of the relevance of hyperscaling. This addition, though it will not tend to make the book more accessible to hydrologists, was useful in making it a more complete reference, and these sections have been marked as being possible to omit in a ?rst reading. It also forced a division of the ?rst chapter into two. We hope that physicists without a background in percolation theory will now also ?nd the - troductory material somewhat more satisfactory. 2) We have done considerable further work on problems of electrical conductivity, thermal conductivity, and electromechanical coupling.
Applications of Percolation Theory
Author: Muhammad Sahimi
Publisher: Springer Nature
Published: 2023-03-18
Total Pages: 690
ISBN-13: 3031203860
DOWNLOAD EBOOK →The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only have all of the chapters of the 1st edition been completely rewritten, reorganized, and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, directed percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks.
Introduction To Percolation Theory
Author: Dietrich Stauffer
Publisher: CRC Press
Published: 2018-12-10
Total Pages: 192
ISBN-13: 1482272377
DOWNLOAD EBOOK →This work dealing with percolation theory clustering, criticallity, diffusion, fractals and phase transitions takes a broad approach to the subject, covering basic theory and also specialized fields like disordered systems and renormalization groups.
Percolation Processes
Percolation
Author: Geoffrey R. Grimmett
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 459
ISBN-13: 3662039818
DOWNLOAD EBOOK →Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.
Percolation
Author: Bela Bollobás
Publisher: Cambridge University Press
Published: 2006-09-21
Total Pages: 334
ISBN-13: 0521872324
DOWNLOAD EBOOK →This book, first published in 2006, is an account of percolation theory and its ramifications.
A Short History of Mathematical Population Dynamics
Author: Nicolas Bacaër
Publisher: Springer Science & Business Media
Published: 2011-02-01
Total Pages: 160
ISBN-13: 0857291157
DOWNLOAD EBOOK →As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.
