The Mathematics and Physics of Disordered Media PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Mathematics and Physics of Disordered Media PDF full book. Access full book title The Mathematics and Physics of Disordered Media by B.D. Hughes. Download full books in PDF and EPUB format.
Author: B.D. Hughes
Publisher: Springer
ISBN: 3540386939
Category : Science
Languages : en
Pages : 438
Get Book Here
Book Description
Author: B.D. Hughes
Publisher: Springer
ISBN: 3540386939
Category : Science
Languages : en
Pages : 438
Get Book Here
Book Description
Author: B. D. Hughes
Publisher:
ISBN: 9783662175538
Category :
Languages : en
Pages : 440
Get Book Here
Book Description
Author: Peter Stollmann
Publisher: Springer Science & Business Media
ISBN: 1461201691
Category : Mathematics
Languages : en
Pages : 177
Get Book Here
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: Barry D. Hughes
Publisher:
ISBN:
Category :
Languages : en
Pages : 431
Get Book Here
Book Description
Author: B.D. Hughes
Publisher:
ISBN:
Category :
Languages : en
Pages : 431
Get Book Here
Book Description
Author:
Publisher:
ISBN: 9780387127071
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Alejandro F. Ramírez
Publisher: Springer
ISBN: 149390339X
Category : Mathematics
Languages : en
Pages : 178
Get Book Here
Book Description
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.
Author: Charles M. Newman
Publisher: Birkhäuser
ISBN: 3034889127
Category : Mathematics
Languages : en
Pages : 93
Get Book Here
Book Description
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.)
Author: Pierluigi Contucci
Publisher: Cambridge University Press
ISBN: 1107124107
Category : Science
Languages : en
Pages : 383
Get Book Here
Book Description
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.
Author: Manuel Osvaldo Cáceres
Publisher: Springer
ISBN: 3319515535
Category : Science
Languages : en
Pages : 568
Get Book Here
Book Description
This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.
