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Article
Composite Thermoelectrics - Exact Results and Calculational Methods
A theoretical study of composite thermoelectric media has resulted in the development of a number of simple approximations, as well as some exact results. The latter include exact upper and lower bounds on the...
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Chapter
Effective Medium Approximation for Nonlinear Conductivity of a Composite Medium
Bruggeman’s Self-Consistent Effective Medium Approximation for the linear conductivity of a composite medium is reformulated in a manner such that the averaging procedure that must be used becomes unambiguous....
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Article
Thermoelectric Properties of Two Component Composites
An explicit expression for the bulk effective thermoelectric coefficient αe of a two component composite is derived. This coefficient is found to depend only on the bulk effective electric conductivity σe and the...
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Article
Bulk Effective Moduli: Their Calculation and Usage for Describing Physical Properties of Composite Media
While not telling the whole story, the representation of a composite medium by a homogeneous effective medium is often an excellent approximation for describing its macroscopic physical properties. Modern meth...
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Article
Current distribution on a three-dimensional, bond-diluted, random-resistor network at the percolation threshold
Current and logarithm-current distributions on a three-dimensional random-bond percolation cubic network were studied at the percolation threshold by computer simulations. Predictions of a hierarchical model t...
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Article
Discrete network models for the low-field Hall effect near a percolation threshold: Theory and simulations
The critical behavior of the weak-field Hall effect near a percolation threshold is studied with the help of two discrete random network models. Many finite realizations of such networks at the percolation thr...
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Chapter
Critical Behavior of Elastic Stiffness Moduli in a Random Network of Rigid and Nonrigid Bonds
For many years no research was done on elastic properties near the percolation threshold of a composite medium, even though at the same time the electrical properties of such media were being investigated very...
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Chapter and Conference Paper
The Effective Dielectric Coefficient of a Composite Medium: Rigorous Bounds from Analytic Properties
The analytic properties of the bulk effective dielectric coefficient εe of a composite medium, viewed as a function of the component coefficients ε1,ε2,…, are reviewed in Section I, and are then used to discuss r...
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Chapter and Conference Paper
Resonances in the bulk properties of composite media — theory and applications
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Chapter
Hydrodynamic Theory of Fourth Sound in a Moving Superfluid — A Discussion of Size Effects
A previous discussion of fourth sound in a moving superfluid is extended to include a detailed estimate of size effects. Comparison with experiment still shows a considerable disagreement. This might indicate ...
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Article
Hydrodynamic theory of fourth sound in clamped conditions
The hydrodynamic theory of fourth sound is developed in detail for the cases of a flat capillary and a porous superleak filled with superfluid helium whose normal fluid motion is completely clamped. The attenu...
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Article
Bose-Einstein condensation in one- and two-dimensional gases
We show that the one- and two-dimensional ideal Bose gases undergo a phase transition if the temperature is lowered at constant pressure. At the pressure-dependent transition temperature Tc (P) and in their therm...
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Chapter
Developments in the Theory of Third Sound and Fourth Sound
The simplest theory of third sound simply starts out from two-fluid hydrodynamics in the helium film, ignoring all dissipative processes.
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Chapter
Bose-Einstein Condensation in Two-Dimensional Systems
It is a well-known and accepted fact that two- and one-dimensional systems of bosons do not undergo Bose-Einstein condensation at any finite temperature.1 We would like to point out that while this is true when t...
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Article
Exactly soluble magnetoelastic lattice with a magnetic phase transition
We examine the soluble magnetoelastic Ising model developed by Baker and Essam and give a detailed discussion of its thermodynamic properties. Particular attention is devoted to the properties of the magnetic ...
