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.

Auteur

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.

Contenu
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.