principle stems from the position of Williams (1981) that word structures (either compounds or affixed structures) are headed and that the convention regarding the distribution of (category) features in such a syntactic representation is called percolation
On the other hand, these values of the percolation
exponent n ranging from 0.26 to 0.64, as well as the reported ones , are considerably smaller than the universal value of the two-dimensional system (n = 1.3) , probably because the anisotropic structure of SWCNT bundles causes the interactions among them to be different from that in the case of the universal system .
It is known that CB with smaller particle size (lower surface area) and larger aggregate size (higher structure) will result in higher conductivity at lower loading but have higher viscosity, be harder to disperse in the polymer matrix, and tend to be higher in cost , On the other hand, CB with larger particle size and smaller aggregate size will be lower cost, easier to disperse in the polymer matrix, and have a lower viscosity, but will require a much higher loading to achieve percolation
. For CNT, the high aspect ratio leads to much higher conductivity at low loading, but subsequently results in much higher viscosity and makes it more difficult to disperse.
In , it was shown that small additions of impurities significantly change the structure of the percolation
cluster and, accordingly, its fractal dimension.
A blue-red path exists in the planar site percolation
model [C.sub.0] if and only if there exists a cell c'(0) [member of] [R.sub.s] such that the sequence (c'(0), c'(1), ..., c'(n)), n [greater than or equal to] 0, of the cells in the sequence S([A.sub.qe], ([C.sub.0], c(0))) creates a blue-red path.
Bai, "On refining the relationship between aspect ratio and percolation
threshold of practical carbon nanotubes/polymer nanocomposites," Japanese Journal of Applied Physics, vol.
Section 2 introduces the related works of barrier coverage and percolation
Similarly, applied water deep percolation
during the irrigation season ranged from about 15 to 18 inches, with the average amount at the test sites a little over an inch greater than that at the control site.
The superconducting percolation
threshold of YBCOSBNO composites lies between 20 and 29 vol.% of YBCO in the composite.
where [[sigma].sub.m] is the conductivity of the composite, SF is the conductivity of the filler, [[sigma].sub.p] is the conductivity of the polymer, [phi] is the volume fraction of the filler, PCP is the volume fraction of the filler in the midpoint of the percolation
, and w is the width of the percolation
Another example is the biased percolation
[18,19] on infinite scale-free networks with a power-law degree distribution P(k) [varies] [k.sup.-[gamma]].
After preparing and presoaking the hole, the percolation
test was conducted using the standard procedure described by the Pennsylvania Department of Environmental Protection (Fritton et al., 1983).