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Isaac Balberg
Researcher at The Racah Institute of Physics
Publications - 245
Citations - 8833
Isaac Balberg is an academic researcher from The Racah Institute of Physics. The author has contributed to research in topics: Silicon & Percolation. The author has an hindex of 44, co-authored 244 publications receiving 8359 citations. Previous affiliations of Isaac Balberg include Hebrew University of Jerusalem & Princeton University.
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Excluded volume and its relation to the onset of percolation
Abstract: The general relationship between the percolation threshold of systems of various objects and the excluded volume associated with these objects is discussed. In particular, we derive the average excluded area and the average excluded volume associated with two- and three-dimensional randomly oriented objects. The results yield predictions for the dependencies, of the percolation critical concentration of various kinds of "sticks," on the stick aspect ratio and the anisotropy of the stick orientation distribution. Comparison of the present results with available Monte Carlo data shows that the percolation threshold of the sticks is described by the above dependencies. On the other hand, the numerical values of the excluded area and the excluded volume are not dimensional invariants as suggested in the literature, but rather depend on the randomness of the stick orientations. The usefulness of the present results for percolation-threshold problems in the continuum is discussed. In particular, it is shown that the excluded area and the excluded volume give the number of bonds per object ${B}_{c}$ when the objects are all the same size. In the case where there is a distribution of object sizes, the proper average of the excluded area or volume is a dimensional invariant while ${B}_{c}$ is not.
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Deposition of device quality, low H content amorphous silicon
TL;DR: In this paper, it was shown that hydrogenated amorphous silicon containing as little as 1/10 the bonded H observed in device-quality glow discharge films have been deposited by thermal decomposition of silane on a heated filament.
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Tunneling and nonuniversal conductivity in composite materials.
TL;DR: In this article, a simple model based on interparticle tunneling conduction and a percolative network is shown to imply a diverging distribution of high resistors in the system.
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Percolation Thresholds in the Three-Dimensional Sticks System
TL;DR: In this paper, the authors reported the dependence of the percolation threshold of the three-dimensional sticks systems on aspect ratio and macroscopic anisotropy, and determined the excluded volume of the sticks.
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Computer study of the percolation threshold in a two-dimensional anisotropic system of conducting sticks
TL;DR: In this paper, a Monte Carlo study of the percolation threshold in two-dimensional systems of conducting sticks was carried out and it was shown that in the case of random alignments, the anisotropy dependence of the conductivity is determined by both the percoation threshold and the critical exponent.