percolation

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Percolation

Author : Geoffrey R. Grimmett
ISBN : 9783662039816
Genre : Mathematics
File Size : 88. 79 MB
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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
ISBN : 9780521872324
Genre : Mathematics
File Size : 90. 83 MB
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This book, first published in 2006, is an account of percolation theory and its ramifications.

Applications Of Percolation Theory

Author : M Sahini
ISBN : 9781482272444
Genre : Mathematics
File Size : 68. 36 MB
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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.

Introduction To Percolation Theory

Author : Dietrich Stauffer
ISBN : 9781420074796
Genre : Science
File Size : 58. 78 MB
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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 Structures And Processes

Author : Guy Deutscher
ISBN : UOM:39015057360581
Genre : Science
File Size : 54. 48 MB
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Percolation Theory For Flow In Porous Media

Author : Allen Hunt
ISBN : 9783319037714
Genre : Science
File Size : 57. 14 MB
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This monograph presents, for the first time, a unified and comprehensive introduction to some of the basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. The approach is based on critical path analysis and the scaling of transport properties, which are individually described as functions of saturation. At the same time, the book supplies a tutorial on percolation theory for hydrologists, providing them with the tools for solving actual problems. In turn, a separate chapter serves to introduce physicists to some of the language and complications of groundwater hydrology necessary for successful modeling. The end-of-chapter problems often indicate open questions, which young researchers entering the field can readily start working on. This significantly revised and expanded third edition includes in particular two new chapters: one on advanced fractal-based models, and one devoted to the discussion of various open issues such as the role of diffusion vs. advection, preferential flow vs. critical path, universal vs. non-universal exponents for conduction, and last but not least, the overall influence of the experimental apparatus in data collection and theory validation. "The book is suitable for advanced graduate courses, with selected problems and questions appearing at the end of each chapter. [...] I think the book is an important work that will guide soil scientists, hydrologists, and physicists to gain a better qualitative and quantitative understanding of multitransport properties of soils." (Marcel G. Schaap, Soil Science Society of America Journal, May-June, 2006)

Percolation Theory For Mathematicians

Author : Kesten
ISBN : 9781489927309
Genre : Mathematics
File Size : 62. 26 MB
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Quite apart from the fact that percolation theory had its orlgln in an honest applied problem (see Hammersley and Welsh (1980)), it is a source of fascinating problems of the best kind a mathematician can wish for: 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 problems are of interest to or proposed by statistical physicists and not dreamt up merely to demons~te ingenuity. Progress in the field has been slow. Relatively few results have been established rigorously, despite the rapidly growing literature with variations and extensions of the basic model, conjectures, plausibility arguments and results of simulations. It is my aim to treat here some basic results with rigorous proofs. This is in the first place a research monograph, but there are few prerequisites; one term of any standard graduate course in probability should be more than enough. Much of the material is quite recent or new, and many of the proofs are still clumsy. Especially the attempt to give proofs valid for as many graphs as possible led to more complications than expected. I hope that the Applications and Examples provide justifi cation for going to this level of generality.

Percolation

Author : Irvin Walter Brandel
ISBN : WISC:89119125136
Genre : Filters and filtration
File Size : 23. 82 MB
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Groundwater Recharge From Run Off Infiltration And Percolation

Author : K.-P. Seiler
ISBN : 9781402053061
Genre : Science
File Size : 27. 3 MB
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To face the threats to the water supply and to maintain sustainable water management policies, detailed knowledge is needed on the surface-to-subsurface transformation link in the water cycle. Recharge flux is covered in this book as well as many other groundwater issues, including a comparison of the traditional and modern approaches to determine groundwater recharge. The authors also explain in detail the fate of groundwater recharge in the subsurface by hydraulic and geologic means, in order to stimulate adapted groundwater-management strategies.

Causes And Prevention Of Failure Of Septic Tank Percolation Systems

Author : Percy Harold McGauhey
ISBN : STANFORD:36105024653508
Genre : Technology & Engineering
File Size : 36. 17 MB
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