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  • © 2016

Transport Processes in Macroscopically Disordered Media

From Mean Field Theory to Percolation

  • Shows the reader how to determine the effective properties of composites when knowing the distribution of components
  • Discusses the details of the physical processes of percolation structures
  • Features the latest advances in the understanding of the physical properties of inhomogeneous materials
  • Includes supplementary material: sn.pub/extras

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xiv
  2. Methods

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 3-6
    3. The Methods of Description of Random Media

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 7-13
    4. Effective Conductivity of Macroscopically Disordered Media

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 15-39
    5. Elements of Geometrical Theory of Percolation

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 41-45
    6. Effective Conductivity of Percolation Media

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 47-75
    7. Self-dual Media

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 77-94
    8. Continual Percolation Problem

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 95-102
    9. Media with Exponentially Broad Spectrum of Local Properties

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 103-111
    10. Finite Scaling

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 113-122
    11. Conductivity of Percolation Layer

      • 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. AC Conductivity

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 131-139
    3. Galvanomagnetic Properties of Macroscopically Disordered Media

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 141-160
    4. Flicker-Noise (1/f-Noise)

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 161-180
    5. Higher Current Moments

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 181-187
    6. Thermoelectric Properties

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 189-205
    7. Effective Elastic Properties

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 207-217
    8. Nonlinear Properties of Composites

      • Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
      Pages 219-237

About this book

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 derivethe basic physical properties of complicated systems together with their corresponding qualitative characteristics and functional dependencies.



Authors and Affiliations

  • Dep. General and Theoretical Physics, Nat'l technical univ.of Ukraine "KPI" Dep. General and Theoretical Physics, Kiev, Ukraine

    Andrei A. Snarskii

  • Research & Development, ZAO "NPP Nauka-Service" Research & Development, Moscow, Russia

    Igor V. Bezsudnov

  • ZAO "NPP Nauka-Service" , Moscow, Russia

    Vladimir A. Sevryukov

  • Citibank , Staten Island, USA

    Alexander Morozovskiy

  • BCC, CUNY Graduate Center, Physics Program BCC, Livingston, USA

    Joseph Malinsky

About the authors

Professor Andrew Snarskii obtained his physics undergraduate and Master Science degrees from Chernivtsi State University in 1972. In 1976 he received PhD also from Chernivtsi State University. He received degree of doctor of science (habilitation degree) from Kiev Institute of Physics in 1991. His fields of research include thermoelectricity, physical processes in percolation structures, deterministic chaos, fractals, theory of complex networks. Now he is a full tenured Professor of Kiev Polytechnic University.

Dr. Igor V. Bezsudnov graduated from Moscow Institute of Electronics and Mathematics in 1985. Since then he always worked in research and development departments of different companies. In 2012 he received Ph.D in physics from Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine. His fields of research include the behaviour of inhomogeneous media near the percolation threshold, phenomenon of self-organized criticality, thermoelectric properties of disordered media, computer numerical modelling of complex media. Now his affiliation is vice director of NPP Nauka-Service, Moscow, chef of R&D.

Mr. Vladimir A. Sevryukov graduated from Bauman Moscow State Technical University in 1983. His work has always been connected with the development and application of advanced technologies and scientific achievements. Fields of research and interest includes percolation systems and their transport properties, computer modelling of highly disordered media. Currently he is the director of NPP Nauka-Service,Moscow.

Dr. Alexander Morozovskiy graduated from Kiev Polytechnic University in 1982. He worked as researcher in Kiev Institute of Metal Physics. He received his PhD from Kiev Institute of Metal Physics in 1988. His area of research includes theory of percolation, superconductivity, market microstructure, credit risk, econophysics. Currently he is working at Citibank.

Professor Joseph Malinsky obtained his physics undergraduate and (advanced) Master of Science degrees from Kiev State University in 1973. In 1985 he has received Ph.D in physics from the Graduate Center of CUNY under the supervision of Professor Joseph L.Birman. His fields of research include areas of Condensed Matter Physics, Biophysics, Mathematical Biology etc. His affiliations include CCNY, BCC, Graduate Center of City University of NY (physics program), Mount Sinai Medical School (Departments of Biophysics and Biomathematics). Now he is a full tenured Professor.

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access