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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 ...
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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
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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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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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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Chapter and Conference Paper
Resonances in the bulk properties of composite media — theory and applications
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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
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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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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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
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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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
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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Article
Weakly nonlinear conductivity of random composites: A series expansion approach
We present a series expansion calculation of the bulk effective coefficient of weakly nonlinear behavior in some continuum composite conductors and in simple cubic random resistor networks. The expansion is in...
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Article
Effective medium approximation for strongly nonlinear media
The effective medium approximation is one of the most popular approximations used for calculating the effective coefficients of linear composite media. When the same approach is applied to the case of power-la...
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Article
Effective Medium Approximation for trongly Nonlinear Media
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Chapter
Nonlinear Behavior and Optical Bistability in Composite Media
The nonlinear response of a composite medium to an external electric field can be greatly enhanced if the system is near a strong isolated quasistatic resonance. This situation, achievable in metal-dielectric ...
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Article
Enhancement of Power Factor in A Thermoelectric Composite With A Periodic Microstructure
The thermoelectric power factor has been calculated for a two-constituent composite medium, where one constituent is a “high quality thermoelectric” while the other constituent is a “benign metal”, with large ...