Transport Processes in Macroscopically Disordered Media [electronic resource] : From Mean Field Theory to Percolation /
Snarskii, Andrei A.author.
Bezsudnov, Igor V.author.
Sevryukov, Vladimir A.author.
Morozovskiy, Alexander.author.
Malinsky, Joseph.author.
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.
Description based upon print version of record.
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.
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.
Amorphous substances.
Complex fluids.
Materials science.
Statistical physics.
Dynamical systems.
Soft and Granular Matter, Complex Fluids and Microfluidics.
Characterization and Evaluation of Materials.
Complex Systems.
Statistical Physics and Dynamical Systems.