Transport Processes in Macroscopically Disordered Media
Transport Processes in Macroscopically Disordered Media

Author: Andrei A. Snarskii

Publisher: Springer

Published: 2016-09-02

Total Pages: 277

ISBN-13: 1441982914

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This book reflects on recent advances in the understanding of percolation systems to present a wide range of transport phenomena in inhomogeneous disordered systems. Further developments in the theory of macroscopically inhomogeneous media are also addressed. These developments include galvano-electric, thermoelectric, elastic properties, 1/f noise and higher current momenta, Anderson localization, and harmonic generation in composites in the vicinity of the percolation threshold. The book describes how one can find effective characteristics, such as conductivity, dielectric permittivity, magnetic permeability, with knowledge of the distribution of different components constituting an inhomogeneous medium. Considered are a wide range of recent studies dedicated to the elucidation of physical properties of macroscopically disordered systems. Aimed at researchers and advanced students, it contains a straightforward set of useful tools which will allow the reader to derive the basic physical properties of complicated systems together with their corresponding qualitative characteristics and functional dependencies.

Introduction to the Theory of Disordered Systems
Introduction to the Theory of Disordered Systems

Author: Ilʹi͡a Mikhaĭlovich Lifshit͡s

Publisher: Wiley-VCH

Published: 1988-08-03

Total Pages: 488

ISBN-13:

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Focuses on an important aspect of this highly diversified area of condensed state physics: the one-body approximation in the theory of disordered systems. It describes the scope of problems within the framework of this approximation, its use in formulating several basic concepts, and its value in revealing many characteristic features of disordered systems. The book's main focus is on the density of states and the space-time correlation functions, and on their basic thermodynamic and kinetic characteristics. Among the many areas explored are the general properties of the one-body models frequently used and descriptions of selected one-dimensional problems, including closed dynamical equations; these are then used to thoroughly explore the density of states for several systems. In addition, some of the more complex characteristics of one-dimensional disordered systems are examined using the Fokkerr-Planck equations developed earlier in the text. Also includes a description of the general structure of concentration expansions, giving examples of simple applications.

Problems of Linear Electron (Polaron) Transport Theory in Semiconductors
Problems of Linear Electron (Polaron) Transport Theory in Semiconductors

Author: M. I. Klinger

Publisher: Elsevier

Published: 2017-05-04

Total Pages: 950

ISBN-13: 1483158195

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Problems of Linear Electron (Polaron) Transport Theory in Semiconductors summarizes and discusses the development of areas in electron transport theory in semiconductors, with emphasis on the fundamental aspects of the theory and the essential physical nature of the transport processes. The book is organized into three parts. Part I focuses on some general topics in the theory of transport phenomena: the general dynamical theory of linear transport in dissipative systems (Kubo formulae) and the phenomenological theory. Part II deals with the theory of polaron transport in a crystalline semiconductor. The last part contains a critical account of electron transport in disordered systems, including amorphous substances, with allowance for polaron effects.

Anomalous Transport
Anomalous Transport

Author: Rainer Klages

Publisher: John Wiley & Sons

Published: 2008-09-02

Total Pages: 614

ISBN-13: 9783527407224

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This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects of anomalous transport.

Scaling Phenomena in Disordered Systems
Scaling Phenomena in Disordered Systems

Author: Roger Pynn

Publisher: Springer Science & Business Media

Published: 2013-11-21

Total Pages: 569

ISBN-13: 1475714025

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This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 8-19 April 1985. Although the principal support for the meeting was provided by the NATO Committee for Scientific Affairs, a number of additional sponsors also contributed, allowing the assembly of an unusually large number of internationally rec ognized speakers. Additional funds were received from: EXXON Research and Engineering Co. IBM (Europe) Institutt for energiteknikk (NorwaY) Institut Lauge-Langevin (France) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) The Norwegian Foreign Office The U. S. Army Research, Development and Standardization Group (Europe) The U. S. National Science Foundation - The Norwegian Council for Science and Letters The organizing committee would like to take this opportunity to thank these contributors for their help in promoting a most exciting rewarding meeting. This Study Institute was the eighth of a series of meetings held in Geilo on subjects related to phase transitions. In contrast to previous meetings which were principally concerned with transitions in ordered systems, this school addressed the problems which arise when structural order is absent. The unifying feature among the subjects discussed at the school and the link to themes of earlier meetings was the concept of scaling.

Quantum Transport in Mesoscopic Systems
Quantum Transport in Mesoscopic Systems

Author: Pier A. Mello

Publisher: Oxford University Press, USA

Published: 2004

Total Pages: 418

ISBN-13: 0198525826

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This text presents the statistical theory of wave scattering and quantum transport in complex - chaotic and disordered - systems.