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" Transport processes in macroscopically disordered media : "
Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
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BL
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| Record Number
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665703
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dltt
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| Title & Author
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Transport processes in macroscopically disordered media : : from mean field theory to percolation /\ Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky
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1 online resource
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| ISBN
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9781441982919
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: 1441982914
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9781441982902
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Includes bibliographical references
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| Contents
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Preface; Contents; Methods; 1 Introduction; 1.1 Types of Macroscopically Disordered Media; 1.2 Classification of Physical Properties. Physical Analogies; References; 2 The Methods of Description of Random Media; 2.1 Effective Kinetic Coefficients, or What Do We Measure; 2.2 Correlation Length and Self-averaging; References; 3 Effective Conductivity of Macroscopically Disordered Media; 3.1 Double-Sided Estimates of the Effective Kinetic Coefficients; 3.2 Approximations of Maxwell, Garnett, and Bruggeman; 3.3 Periodically Located Inclusions; 3.4 Plain-Layered Systems; References
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4 Elements of Geometrical Theory of Percolation4.1 Percolation Problem; 4.2 Basic Concepts of Geometric Percolation; References; 5 Effective Conductivity of Percolation Media; 5.1 Analogy with the Phenomenological Theory of Second-Order Phase Transitions. Scaling and Critical Exponents; 5.2 Effective Conductivity as an Order Parameter. Phenomenological Description; 5.3 Calculation of Critical Indices; 5.4 Hierarchical Model of Percolation Structure; 5.5 Examples of Applications of Percolation Theory; References; 6 Self-dual Media; 6.1 Locally Isotropic Media; 6.2 Locally Anisotropic Media
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10.1 Effective Conductivity of the Percolation Systems in the Cases with Some Sizes Are Lesser and the Other Greater Than Percolation Length. Definition of the Problem10.2 Solution Technique; References; Processes; 11 AC Conductivity; 11.1 EMT-Approximation; 11.2 The Method of Percolation Theory; References; 12 Galvanomagnetic Properties of Macroscopically Disordered Media; 12.1 Introduction; 12.2 Layered Media in the Magnetic Field; 12.3 Dual Media in the Magnetic Field; 12.4 Strongly Inhomogeneous Media in the Vicinity of the Percolation;Threshold, Two-Dimensional Case
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12.5 Strong Disorder, Three-Dimensional CaseReferences; 13 Flicker-Noise (1/f-Noise); 13.1 Flicker-Noise in Inhomogeneous Media; 13.2 Flicker-Noise in Inhomogeneous Media-EMT-Approximation; 13.3 Flicker-Noise in Percolation Systems; 13.4 Abnormally High Rate of Flicker-Noise in Self-dual Media; 13.5 Flicker-Noise in the Systems with Exponentially Broad Spectrum of the Resistances; 13.6 Flicker-Noise for Fluctuation of Phase Concentration; References; 14 Higher Current Moments; 14.1 Definitions; 14.2 Critical Exponents of the Higher Current Moments; References; 15 Thermoelectric Properties
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| Abstract
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Based on the authors' research, this volume is an original take on the modern theory of inhomogeneous media. It shows the reader how to use component distribution data to find the effective properties of composites, and covers many other aspects of the topic
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Transport theory.
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Mean field theory.
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Percolation (Statistical physics)
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| Dewey Classification
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530.13/8
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| LC Classification
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QC175.2
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Snarskii, Andrei A.
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Bezsudnov, Igor V.
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Sevryukov, Vladimir A.
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Morozovskiy, Alexander
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Malinsky, Joseph
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Ohio Library and Information Network.
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