scholarly journals The Geometry of Fractal Percolation

2014 ◽  
pp. 303-323 ◽  
Author(s):  
Michał Rams ◽  
Károly Simon
Keyword(s):  
Fractal Percolation

scholarly journals Effect of Hydrophobic Silica Nanochannel Structure on the Running Speed of a Colloidal Damper

2021 ◽  
Vol 11 (15) ◽  
pp. 6808
Author(s):  
Gengbiao Chen ◽  
Zhiwen Liu
Keyword(s):  
Fractal Dimension ◽  
Silica Gel ◽  
Fractal Theory ◽  
Percolation Model ◽  
Silica Gels ◽  
Practical Significance ◽  
Running Speed ◽  
Fractal Percolation ◽  
Micropore Structure ◽  
Hydrophobic Silica

A colloidal damper (CD) can dissipate a significant amount of vibrations and impact energy owing to the interface power that is generated when it is used. It is of great practical significance to study the influence of the nanochannel structure of hydrophobic silica gel in the CD damping medium on the running speed of the CD. The fractal theory was applied to observe the characteristics of the micropore structure of the hydrophobic silica gel by scanning electron microscopy (SEM), the primary particles were selected to carry out fractal analysis, and the two-dimensional fractal dimension of the pore area and the tortuous fractal dimension of the hydrophobic silica gel pore structure were calculated. The fractal percolation model of water in hydrophobic silica nanochannels based on the slip theory could thus be obtained. This model revealed the relationship between the micropore structure parameters of the silica gel and the running speed of the CD. The CD running speed increases with the addition of grafted molecules and the reduction in pore size of the silica gel particles. Continuous loading velocity testing of the CD loaded with hydrophobic silica gels with different pore structures was conducted. By comparing the experimental results with the calculation results of the fractal percolation model, it was determined that the fractal percolation model can better characterize the change trend of the CD running velocity for the first loading, but the fractal dimension was changed from the second loading, caused by the small amount of water retained in the nanochannel, leading to the failure of fractal characterization.

scholarly journals Superconducting quantum interference in fractal percolation films. Problem of 1/f; noise

1997 ◽  
Vol 240 (3) ◽  
pp. 242-253 ◽  
Author(s):  
A.M. Glukhov ◽  
A.S. Pokhila ◽  
I.M. Dmitrenko ◽  
A.E. Kolinko ◽  
A.P. Panchekha
Keyword(s):  
Quantum Interference ◽  
Fractal Percolation ◽  
Superconducting Quantum Interference

Fractal-percolation model of the stability of foam

JETP Letters ◽  
1999 ◽  
Vol 69 (12) ◽  
pp. 954-958
Author(s):  
Yu. V. Pakharukov ◽  
T. E. Shevnina
Keyword(s):  
Percolation Model ◽  
Fractal Percolation ◽  
The Stability

Diversity of Properties of Device Structures Based on Group-III Nitrides, Related to Modification of the Fractal-Percolation System

2018 ◽  
Vol 52 (7) ◽  
pp. 942-949 ◽  
Author(s):  
V. V. Emtsev ◽  
E. V. Gushchina ◽  
V. N. Petrov ◽  
N. A. Tal’nishnih ◽  
A. E. Chernyakov ◽  
...  
Keyword(s):  
Group Iii Nitrides ◽  
Group Iii ◽  
Fractal Percolation ◽  
Device Structures

scholarly journals Fractal Percolation, Porosity, and Dimension

2016 ◽  
Vol 30 (4) ◽  
pp. 1471-1498 ◽  
Author(s):  
Changhao Chen ◽  
Tuomo Ojala ◽  
Eino Rossi ◽  
Ville Suomala
Keyword(s):  
Fractal Percolation

Foam stabilization by surfactants: A fractal-percolation fracture model

2001 ◽  
Vol 27 (2) ◽  
pp. 127-128
Author(s):  
Yu. V. Pakharukov ◽  
T. E. Shevnina
Keyword(s):  
Fracture Model ◽  
Fractal Percolation ◽  
Foam Stabilization
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