scholarly journals On macroscopic holes in some supercritical strongly dependent percolation models

2019 ◽  
Vol 47 (4) ◽  
pp. 2459-2493 ◽  
Author(s):  
Alain-Sol Sznitman
Keyword(s):  
Dependent Percolation

scholarly journals History-dependent percolation in two dimensions

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Minghui Hu ◽  
Yanan Sun ◽  
Dali Wang ◽  
Jian-Ping Lv ◽  
Youjin Deng
Keyword(s):  
Two Dimensions ◽  
Dependent Percolation

scholarly journals Temperature dependent percolation mechanism for conductivity in ${{\rm{Y}}}_{0.63}$ ${\mathrm{Ca}}_{0.37}$TiO3 revealed by a microstructure study

2018 ◽  
Vol 5 (12) ◽  
pp. 126101
Author(s):  
R German ◽  
B Zimmer ◽  
T C Koethe ◽  
A Barinov ◽  
A C Komarek ◽  
...  
Keyword(s):  
Temperature Dependent ◽  
Dependent Percolation

scholarly journals Cardy’s formula for some dependent percolation models

2002 ◽  
Vol 33 (2) ◽  
pp. 147-156 ◽  
Author(s):  
F. Camia ◽  
C. M. Newman ◽  
V. Sidoravicius
Keyword(s):  
Dependent Percolation

Determining In-plane and Thru-plane Percolation Thresholds for Carbon Nanotube Thin Films Deposited on Paper Substrates Using Impedance Spectroscopy

2013 ◽  
Vol 1549 ◽  
pp. 117-122 ◽  
Author(s):  
Rachel L. Muhlbauer ◽  
Rosario A. Gerhardt
Keyword(s):  
Carbon Nanotube ◽  
Impedance Spectroscopy ◽  
Solution Concentration ◽  
Paper Substrate ◽  
Number Of Layers ◽  
Plane Direction ◽  
Dependent Percolation ◽  
Percolation Thresholds ◽  
Deposited Film ◽  
Paper Substrates

ABSTRACTConcentration- and layer-dependent percolation thresholds can be determined for carbon nanotube (CNT) films deposited from aqueous dispersions on paper substrates at both the surface of the deposited film (in-plane) and through the thickness of the paper (thru-plane) using impedance spectroscopy. By analyzing the impedance spectra as a function of the number of layers (solution concentration is constant) or the solution concentration (number of layers is constant), the electrical properties and percolation thresholds for CNT-paper composites can be determined. In-plane measurements show that percolation occurs at 4 layers when 1 mg/mL solution concentration is used. In the thru-plane direction, the films are already percolated at 1 mg/mL concentration, which is confirmed by varying the concentration of the solution used to deposit 1 layer films. A second percolation event happens between 8 and 12 layers due to an increased number of interconnections of CNTs within the paper substrate. The lowest sheet resistance achieved was 100 Ω/□.

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