Transport Processes in Macroscopically Disordered Media From Mean Field Theory to Percolation /

• Main Authors: Snarskii, Andrei A. (Author), Bezsudnov, Igor V. (Author), Sevryukov, Vladimir A. (Author), Morozovskiy, Alexander (Author), Malinsky, Joseph (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2016.
• Subjects: Physics.; System theory.; Amorphous substances.; Complex fluids.; Materials science.; Soft and Granular Matter, Complex Fluids and Microfluidics.; Characterization and Evaluation of Materials.; Complex Systems.; Statistical Physics and Dynamical Systems.

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-elect...

Table of Contents:

• Introduction
• Part I
• 1 Introduction
• 2 The methods of description of the macroscopically disordered media
• 3 Effective conductivity of macroscopically disordered systems
• 4 Elements of geometrical theory of percolation
• 5 Effective conductivity in geometrical percolation theory
• 6 Self-dual media
• 7 Continual percolation problem
• 8 The systems with exponentially broad spectrum of local properties
• 9 Finite scaling
• 10 Conductivity of percolation layer
• Part II
• 11 AC conductivity
• 12 Galvanomagnetic properties of macroscopically disordered media
• 13 Flicker noise (1/f-noise)
• 14 Higher current moments
• 15 Thermoelectric properties
• 16 Effective elastic properties
• 17 Non-linear properties of composites
• 18 Effective properties of ferromagnetic composites
• 19 Temperature coefficient of resistance and the third harmonic generation in the vicinity of the percolation
• 20 Instability and chaos in the macroscopically disordered media with weak dissipation
• 21 Percolation-like description of the Abrikosov vortex
• 22 Anderson localization in the percolation structure
• 23 Conclusion.