19 Result(s)
within
David J. Bergman
Physics
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Chapter and Conference Paper
Coherent Control of Ultrafast Linear and Nonlinear Optical Phenomena in Nanostructures
We theoretically investigate the unique possibility to control distribution of ultrafast local optical fields, both linear and nonlinear, in nanosystems with nanometer spatial resolution and in time on the fem...
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Chapter and Conference Paper
SPASER as Ultrafast Nanoscale Phenomenon and Device
We theoretically introduce surface plasmon amplification by stimulated emission of radiation (SPASER) as an ultrafast phenomenon and device. Spaser is predicted to generate femtosecond, nanoscale-localized pul...
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Article
A Mixed-Transfer-Matrix Method for Simulating Normal Conductor/Perfect Insulator/Perfect Conductor Random Networks
We develop a mixed-transfer-matrix approach for computing the macroscopic conductivity of a three-constituent normal conductor/perfect insulator/perfect conductor random network. This is applied to two-dimensi...
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Article
Exact Relations Between Elastic and Electrical Response of d-Dimensional Percolating Networks with Angle-Bending Forces
Arguments are presented to demonstrate that exact equality relations exist between the critical exponents which characterize the macroscopic conductivity σ e and the macroscopi...
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Chapter
Response of Composite Media Made of Weakly Nonlinear Constituents
Electrical and optical properties of weakly nonlinear composite media are reviewed. A simple perturbation theory can account for many properties, including enhancement of macroscopic nonlinear response near a ...
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Article
Effective Medium Approximation for trongly Nonlinear Media
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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
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
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 ...
