The Mathematics and Physics of Disordered Media

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Publisher :
ISBN 13 : 9783662175538
Total Pages : 440 pages
Book Rating : 4.33/5 ( download)

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Book Synopsis The Mathematics and Physics of Disordered Media by : B. D. Hughes

Download or read book The Mathematics and Physics of Disordered Media written by B. D. Hughes and published by . This book was released on 2014-01-15 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics and Physics of Disordered Media

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Publisher : Springer
ISBN 13 : 3540386939
Total Pages : 438 pages
Book Rating : 4.33/5 ( download)

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Book Synopsis The Mathematics and Physics of Disordered Media by : B.D. Hughes

Download or read book The Mathematics and Physics of Disordered Media written by B.D. Hughes and published by Springer. This book was released on 2006-11-14 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Caught by Disorder

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Publisher : Springer Science & Business Media
ISBN 13 : 1461201691
Total Pages : 177 pages
Book Rating : 4.94/5 ( download)

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Book Synopsis Caught by Disorder by : Peter Stollmann

Download or read book Caught by Disorder written by Peter Stollmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Percolative and Disordered Systems

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Publisher : Springer
ISBN 13 : 149390339X
Total Pages : 178 pages
Book Rating : 4.99/5 ( download)

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Book Synopsis Topics in Percolative and Disordered Systems by : Alejandro F. Ramírez

Download or read book Topics in Percolative and Disordered Systems written by Alejandro F. Ramírez and published by Springer. This book was released on 2014-06-16 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems. PASI fosters a collaboration between North American and Latin American researchers and students. The conference that inspired this volume took place in January 2012 in both Santiago de Chile and Buenos Aires. Researchers and graduate students will find timely research in probability theory, statistical physics and related disciplines.

Statistical Mechanics of Disordered Systems

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Publisher : Cambridge University Press
ISBN 13 : 0521849918
Total Pages : 297 pages
Book Rating : 4.13/5 ( download)

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Book Synopsis Statistical Mechanics of Disordered Systems by : Anton Bovier

Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by Cambridge University Press. This book was released on 2006-06-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Disordered Materials

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Publisher : Springer Nature
ISBN 13 : 3662684284
Total Pages : 380 pages
Book Rating : 4.83/5 ( download)

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Book Synopsis Disordered Materials by : Paolo M. Ossi

Download or read book Disordered Materials written by Paolo M. Ossi and published by Springer Nature. This book was released on with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Disordered Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764357771
Total Pages : 100 pages
Book Rating : 4.70/5 ( download)

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Book Synopsis Topics in Disordered Systems by : Charles M. Newman

Download or read book Topics in Disordered Systems written by Charles M. Newman and published by Springer Science & Business Media. This book was released on 1997-09-23 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. (The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)

Fractals in the Physical Sciences

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Publisher : Manchester University Press
ISBN 13 : 9780719034343
Total Pages : 196 pages
Book Rating : 4.45/5 ( download)

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Book Synopsis Fractals in the Physical Sciences by : Hideki Takayasu

Download or read book Fractals in the Physical Sciences written by Hideki Takayasu and published by Manchester University Press. This book was released on 1990 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Disordered Systems, Random Processes and Some Applications

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Publisher : Cambridge University Press
ISBN 13 : 1107124107
Total Pages : 383 pages
Book Rating : 4.03/5 ( download)

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Book Synopsis Advances in Disordered Systems, Random Processes and Some Applications by : Pierluigi Contucci

Download or read book Advances in Disordered Systems, Random Processes and Some Applications written by Pierluigi Contucci and published by Cambridge University Press. This book was released on 2016-12-15 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.

Random Walks on Disordered Media and their Scaling Limits

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Publisher : Springer
ISBN 13 : 331903152X
Total Pages : 147 pages
Book Rating : 4.21/5 ( download)

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Book Synopsis Random Walks on Disordered Media and their Scaling Limits by : Takashi Kumagai

Download or read book Random Walks on Disordered Media and their Scaling Limits written by Takashi Kumagai and published by Springer. This book was released on 2014-01-25 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory. Recently, there has been significant progress on the theory of random walk on disordered media such as fractals and random media. Random walk on a percolation cluster(‘the ant in the labyrinth’)is one of the typical examples. In 1986, H. Kesten showed the anomalous behavior of a random walk on a percolation cluster at critical probability. Partly motivated by this work, analysis and diffusion processes on fractals have been developed since the late eighties. As a result, various new methods have been produced to estimate heat kernels on disordered media. These developments are summarized in the notes.