Transport Processes in Macroscopically Disordered Media
From Mean Field Theory to Percolation
Snarskii, A.A., Bezsudnov, I.V., Sevrukov, V.A., Morozovskiy, A., Malinsky, J.
2015, X, 310 p. 102 illus.
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Shows the reader how to isolate 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
Transport Processes in Macroscopically Disordered Media: From Mean Field Theory to Percolation 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.
This book 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.
Content Level »Research
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
Introduction.- The Methods of Description of the Macroscopically Disordered Media.- Effective Conductivity of Macroscopically Disordered Systems.- Elements of Geometrical Theory of Percolation.- Effective Conductivity in Geometrical Percolation Theory.- Selfdual Media.- Continual Percolation Problem.- The Systems with Exponentially Broad Spectrum of Local Disorder.- Finite Scaling.- Conductivity of Percolation Layer.- AC Conductivity.- Galvano-Magnetic Properties of Macroscopically Disordered Media.- Flicer Noise (1/f-noise).- Higher Current Moments.- Thermoelectric Properties.- Effective Elastic Properties.- Non-linear Properties of Composites.- Effective Properties of Ferromagnetic Composites.- Temperature Coefficient of Resistance and the Third Harmonic Generation in the Vicinity of the Percolation.- Instability and Chaos in the Macroscopically Disordered Media with Weak Dissipation.- Percolation-like Description of the Abrikosov Vortex.- Anderson Localization in the Percolation Structure.- Kinetic Processes in Inhomogenous Self-Aware Media.