Percolation

Author: Geoffrey R. Grimmett

Publisher: Springer Science & Business Media

ISBN: 3662039818

Category: Mathematics

Page: 447

View: 582

DOWNLOAD NOW »

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.
Release

Percolation

Author: Bela Bollobás,Oliver Riordan

Publisher: Cambridge University Press

ISBN: 0521872324

Category: Mathematics

Page: 323

View: 5278

DOWNLOAD NOW »

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

Introduction To Percolation Theory

Author: Dietrich Stauffer,Ammon Aharony

Publisher: CRC Press

ISBN: 1420074792

Category: Science

Page: 192

View: 2873

DOWNLOAD NOW »

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.
Release

Introduction To Percolation Theory

Author: A. Aharony,D. Stauffer

Publisher: Taylor & Francis

ISBN: 1135747830

Category: Science

Page: 192

View: 9412

DOWNLOAD NOW »

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.
Release

Applications Of Percolation Theory

Author: M Sahini,M Sahimi

Publisher: CRC Press

ISBN: 0203221532

Category: Mathematics

Page: 276

View: 3197

DOWNLOAD NOW »

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.
Release

Percolation Theory for Flow in Porous Media

Author: Allen Hunt,Robert Ewing

Publisher: Springer Science & Business Media

ISBN: 3540897895

Category: Science

Page: 319

View: 9945

DOWNLOAD NOW »

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.
Release

Percolation Theory In Reservoir Engineering

Author: King Peter,Masihi Mohsen

Publisher: World Scientific

ISBN: 1786345250

Category: Technology & Engineering

Page: 384

View: 8772

DOWNLOAD NOW »

This book aims to develop the ideas from fundamentals of percolation theory to practical reservoir engineering applications. Through a focus on field scale applications of percolation concepts to reservoir engineering problems, it offers an approximation method to determine many important reservoir parameters, such as effective permeability and reservoir connectivity and the physical analysis of some reservoir engineering properties. Starring with the concept of percolation theory, it then develops into methods to simple geological systems like sand-bodies and fractures. The accuracy and efficiency of the percolation concept for these is explained and further extended to more complex realistic models.Percolation Theory in Reservoir Engineering primarily focuses on larger reservoir scale flow and demonstrates methods that can be used to estimate large scale properties and their uncertainty, crucial for major development and investment decisions in hydrocarbon recovery. remove
Release

Quantum and Semi-classical Percolation and Breakdown in Disordered Solids

Author: Asok K. Sen,Kamal K. Bardhan,Bikas K. Chakrabarti

Publisher: Springer Science & Business Media

ISBN: 3540854274

Category: Science

Page: 326

View: 7286

DOWNLOAD NOW »

This lecture notes in physics volume mainly focuses on the semi classical and qu- tum aspects of percolation and breakdown in disordered, composite or granular s- tems. The main reason for this undertaking has been the fact that, of late, there have been a lot of (theoretical) work on quantum percolation, but there is not even a (single) published review on the topic (and, of course, no book). Also, there are many theoretical and experimental studies on the nonlinear current-voltage characteristics both away from, as well as one approaches, an electrical breakdown in composite materials. Some of the results are quite intriguing and may broadly be explained utilising a semi classical (if not, fully quantum mechanical) tunnelling between - cron or nano-sized metallic islands dispersed separated by thin insulating layers, or in other words, between the dangling ends of small percolation clusters. There have also been several (theoretical) studies of Zener breakdown in Mott or Anderson in- lators. Again, there is no review available, connecting them in any coherent fashion. A compendium volume connecting these experimental and theoretical studies should be unique and very timely, and hence this volume. The book is organised as follows. For completeness, we have started with a short and concise introduction on classical percolation. In the ?rst chapter, D. Stauffer reviews the scaling theory of classical percolation emphasizing (biased) diffusion, without any quantum effects. The next chapter by A. K.
Release