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Transport Processes in Macroscopically Disordered Media

From Mean Field Theory to Percolation

  • Andrei A. Snarskii
  • Igor V. Bezsudnov
  • Vladimir A. Sevryukov
  • Alexander Morozovskiy
  • Joseph Malinsky

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Methods

    1. Front Matter
      Pages 1-1
    2. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 3-6
    3. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 7-13
    4. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 15-39
    5. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 41-45
    6. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 47-75
    7. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 77-94
    8. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 95-102
    9. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 103-111
    10. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 113-122
    11. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 123-128
  3. Processes

    1. Front Matter
      Pages 129-129
    2. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 131-139
    3. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 141-160
    4. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 161-180
    5. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 181-187
    6. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 189-205
    7. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 207-217
    8. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 219-237
    9. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 239-245
    10. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 247-251
    11. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 253-263
    12. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 265-274
    13. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 275-278
    14. Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 279-280

About this book

Introduction

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.

Keywords

abricosov vortices anderson localization inhomogeneous media l/f noise macroscopic inhomogeneous media mean-field model near percolation threshold percolation structures theory of percolation transport properties Abrikosov vortices Anderson localization

Authors and affiliations

  • Andrei A. Snarskii
    • 1
  • Igor V. Bezsudnov
    • 2
  • Vladimir A. Sevryukov
    • 3
  • Alexander Morozovskiy
    • 4
  • Joseph Malinsky
    • 5
  1. 1.Dep. General and Theoretical PhysicsNat'l technical univ.of Ukraine "KPI" Dep. General and Theoretical PhysicsKievUkraine
  2. 2.Research & DevelopmentZAO "NPP Nauka-Service" Research & DevelopmentMoscowRussia
  3. 3.ZAO "NPP Nauka-Service" MoscowRussia
  4. 4.Citibank Staten IslandUSA
  5. 5.BCCCUNY Graduate Center, Physics Program BCCLivingstonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-8291-9
  • Copyright Information Springer Science+Business Media, LLC 2016
  • Publisher Name Springer, New York, NY
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-1-4419-8290-2
  • Online ISBN 978-1-4419-8291-9
  • Buy this book on publisher's site