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Percolations


Percolations
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Introduction To Percolation Theory


Introduction To Percolation Theory
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Author : A. Aharony
language : en
Publisher: Taylor & Francis
Release Date : 2003-07-13

Introduction To Percolation Theory written by A. Aharony and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-13 with Science categories.


Percolation theory deals with clustering, criticality, diffusion, fractals, phase transitions and disordered systems. It provides a quantitative model for understanding these phenomena, and therefore a theoretical and statistical background to many physical and natural sciences. This book explains the basic theory for the graduate while also reaching into the specialized fields of disordered systems and renormalization groups. Much of the book deals with systems lying close to the critical point phase transition point, where the subject is at its most interesting and sensitive. This text is ideal for those who deal with systems which exhibit critical points and phase transition behavior.



Applications Of Percolation Theory


Applications Of Percolation Theory
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Author : Muhammad Sahimi
language : en
Publisher: Springer Nature
Release Date : 2023-03-18

Applications Of Percolation Theory written by Muhammad Sahimi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-18 with Science categories.


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.



Applications Of Percolation Theory


Applications Of Percolation Theory
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Author : M Sahini
language : en
Publisher: CRC Press
Release Date : 2003-07-13

Applications Of Percolation Theory written by M Sahini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-13 with Mathematics categories.


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


Percolation
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Author : Geoffrey Grimmett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Percolation written by Geoffrey Grimmett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.


Quite apart from the fact that percolation theory had its ongm in an honest applied problem, it is a source of fascinating problems of the best kind for which a mathematician can wish: problems which are easy to state with a minimum of preparation, but whose solutions are apparently difficult and require new methods. At the same time, many of the prob lems are of interest to or proposed by statistical physicists and not dreamed up merely to demonstrate ingenuity. Much progress has been made in recent years, and many of the open problems of ten years aga have been solved. With such solutions we have seen the evolution of new techniques and questions; the consequent knowledge has shifted the ground under percolation, and it is time to examine afresh the mathematics of the subject. The quantity of literature related to percolation seems to grow hour by hour, mostly in the physics journals. It is becoming increasingly diffi cult to get to know the subject from scratch, and one of the principal purposes of this book is to remedy this. This book is about the mathematics of percolation theory, with the emphasis upon presenting the shortest rigorous proofs of the main facts.



Percolation


Percolation
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Author : Geoffrey Grimmett
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-05-06

Percolation written by Geoffrey Grimmett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-06 with Mathematics categories.


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


Percolation
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Author : Bela Bollobás
language : en
Publisher: Cambridge University Press
Release Date : 2006-09-21

Percolation written by Bela Bollobás and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-21 with Mathematics categories.


This book, first published in 2006, is an account of percolation theory and its ramifications.



Percolation Processes


Percolation Processes
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Author : A.E. Rodrigues
language : en
Publisher: Springer
Release Date : 1981-03-31

Percolation Processes written by A.E. Rodrigues and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-03-31 with Science categories.


Proceedings of the NATO Advanced Study Institute on Percolation Processes: Theory and Applications Held at Espinho, Portugal, July 17-29, 1978



Percolation Theory For Flow In Porous Media


Percolation Theory For Flow In Porous Media
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Author : Allen Hunt
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-05

Percolation Theory For Flow In Porous Media written by Allen Hunt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-05 with Science categories.


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.



Introduction To Percolation Theory


Introduction To Percolation Theory
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Author : Dietrich Stauffer
language : en
Publisher:
Release Date : 1987

Introduction To Percolation Theory written by Dietrich Stauffer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Percolation (Statistical physics) categories.




Percolation Theory And Particle Systems


Percolation Theory And Particle Systems
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Author : Rahul Roy
language : en
Publisher: Universities Press
Release Date : 2000

Percolation Theory And Particle Systems written by Rahul Roy and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematical physics categories.


This book comprises the talks presented at the Workshop on Percolation Theory and Particle Systems held at the Indian Statistical Institute. The workshop was intended to be instructional in nature and the articles here reflect it. The articles present the basic tools and some important results in percolation theory and particles systems.