Statistical Mechanics of Disordered Systems PDF Download
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Author: Anton Bovier
Publisher: Cambridge University Press
ISBN: 0521849918
Category : Mathematics
Languages : en
Pages : 297
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Book Description
Publisher Description
Author: Anton Bovier
Publisher: Cambridge University Press
ISBN: 0521849918
Category : Mathematics
Languages : en
Pages : 297
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Book Description
Publisher Description
Author: J. M. Ziman
Publisher: Cambridge University Press
ISBN: 9780521292801
Category : Science
Languages : en
Pages : 548
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Book Description
Originally published in 1979, this book discusses how the physical and chemical properties of disordered systems such as liquids, glasses, alloys, amorphous semiconductors, polymer solutions and magnetic materials can be explained by theories based on a variety of mathematical models, including random assemblies of hard spheres, tetrahedrally-bonded networks and lattices of 'spins'. The text describes these models and the various mathematical theories by which the observable properties are derived. Techniques and concepts such as the mean field and coherent approximations, graphical summation, percolation, scaling and the renormalisation group are explained and applied. This book will be of value to anyone with an interest in theoretical and experimental physics.
Author: Peter Stollmann
Publisher: Springer Science & Business Media
ISBN: 1461201691
Category : Mathematics
Languages : en
Pages : 177
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Book Description
Disorder is one of the predominant topics in science today. The present text is devoted to the mathematical studyofsome particular cases ofdisordered systems. It deals with waves in disordered media. To understand the significance of the influence of disorder, let us start by describing the propagation of waves in a sufficiently ordered or regular environment. That they do in fact propagate is a basic experience that is verified by our senses; we hear sound (acoustic waves) see (electromagnetic waves) and use the fact that electromagnetic waves travel long distances in many aspects ofour daily lives. The discovery that disorder can suppress the transport properties of a medium is oneof the fundamental findings of physics. In its most prominent practical application, the semiconductor, it has revolutionized the technical progress in the past century. A lot of what we see in the world today depends on that relatively young device. The basic phenomenon of wave propagation in disordered media is called a metal-insulator transition: a disordered medium can exhibit good transport prop erties for waves ofrelatively high energy (like a metal) and suppress the propaga tion of waves of low energy (like an insulator). Here we are actually talking about quantum mechanical wave functions that are used to describe electronic transport properties. To give an initial idea of why such a phenomenon could occur, we have to recall that in physical theories waves are represented by solutions to certain partial differential equations. These equations link time derivatives to spatial derivatives.
Author: B.D. Hughes
Publisher: Springer
ISBN: 3540386939
Category : Science
Languages : en
Pages : 438
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Book Description
Author: Sacha Friedli
Publisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643
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Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author: Konstantin Markov
Publisher: Springer Science & Business Media
ISBN: 1461213320
Category : Technology & Engineering
Languages : en
Pages : 489
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Book Description
Most materials used in contemporary life and industry are heterogeneous (composites) and multicomponent, possessing a rich and complex internal structure. This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials. The modeling process is a critical tool for scientists and engineers studying the analysis and experimentation for the micromechanics and behavior of these materials. "Heterogeneous Media" is a critical, in-depth edited survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. The goal of this extensive and comprehensive survey is to provide both specialists and nonspecialists with an authoritative and interdisciplinary perspective of current ideas and methods used for modeling heterogeneous materials behavior and their applications. Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous media*Five chapters provide self-contained discussions, with background provided*Focuses only upon most important techniques and models, fully exploring micro-macro interconnections*extensive introductory survey chapter on micromechanics of heterogeneous media*microstructure characterization via statistical correlation functions*micro-scale deformation of pore space*wave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and
Author: Daniel ben-Avraham
Publisher: Cambridge University Press
ISBN: 0521622786
Category : Mathematics
Languages : en
Pages : 334
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Book Description
This book describes diffusion and transport in disordered media such as fractals and random resistor networks.
Author: Jaromir Vosmansky
Publisher: Springer
ISBN: 3540398074
Category : Mathematics
Languages : en
Pages : 430
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Book Description
Author: Hideki Takayasu
Publisher: Manchester University Press
ISBN: 9780719034343
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Author: Pierre Adler
Publisher: Elsevier
ISBN: 1483292312
Category : Technology & Engineering
Languages : en
Pages : 561
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Book Description
The goal of "Porous Media: Geometry and Transports" is to provide the basis of a rational and modern approach to porous media. This book emphasizes several geometrical structures (spatially periodic, fractal, and random to reconstructed) and the three major single-phase transports (diffusion, convection, and Taylor dispersion)."Porous Media" serves various purposes. For students it introduces basic information on structure and transports. Engineers will find this book useful as a readily accessible assemblage of al the major experimental results pertaining to single-phase transports in porous media. For scientists it presents the latest developments in the field, some of which have never before been published.
