Transport processes in macroscopically disordered media : from mean field theory to percolation /: from mean field theory to percolation. (2016)
- Record Type:
- Book
- Title:
- Transport processes in macroscopically disordered media : from mean field theory to percolation /: from mean field theory to percolation. (2016)
- Main Title:
- Transport processes in macroscopically disordered media : from mean field theory to percolation
- Further Information:
- Note: Andrei A. Snarskii, Igor V. Bezsudnov, Vladimir A. Sevryukov, Alexander Morozovskiy, Joseph Malinsky.
- Authors:
- Snarskii, Andrei A
Bezsudnov, Igor V
Sevryukov, Vladimir A
Morozovskiy, Alexander
Malinsky, Joseph - Contents:
- 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. 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. 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; 12Preface; 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. 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. 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. 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. … (more)
- Publisher Details:
- New York : Springer
- Publication Date:
- 2016
- Extent:
- 1 online resource
- Subjects:
- 530.13/8
Transport theory
Mean field theory
Percolation (Statistical physics)
SCIENCE -- Energy
SCIENCE -- Mechanics -- General
SCIENCE -- Physics -- General
Mean field theory
Percolation (Statistical physics)
Transport theory
Physics
Soft and Granular Matter, Complex Fluids and Microfluidics
Characterization and Evaluation of Materials
Complex Systems
Statistical Physics and Dynamical Systems
Electronic books - Languages:
- English
- ISBNs:
- 9781441982919
1441982914
1441982906
9781441982902 - Related ISBNs:
- 9781441982902
- Notes:
- Note: Includes bibliographical references.
Note: Online resource; title from PDF title page (SpringerLink, viewed September 13, 2016). - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- British Library HMNTS - ELD.DS.425991
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