Systematic derivation of percolation thresholds in continuum systems

1990 ◽  
Vol 42 (8) ◽  
pp. 4634-4638 ◽  
Author(s):  
U. Alon ◽  
A. Drory ◽  
I. Balberg
Keyword(s):  
Percolation Thresholds ◽  
Systematic Derivation ◽  
Continuum Systems

scholarly journals Brownian Swarm Dynamics and Burgers’ Equation with Higher Order Dispersion

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 57
Author(s):  
Max-Olivier Hongler
Keyword(s):  
Burgers Equation ◽  
Higher Order ◽  
Underlying Structure ◽  
Swarm Dynamics ◽  
Special Cases ◽  
Kink Waves ◽  
Systematic Derivation ◽  
Fifth Order ◽  
Higher Order Dispersion ◽  
Order Dispersion

The concept of ranked order probability distribution unveils natural probabilistic interpretations for the kink waves (and hence the solitons) solving higher order dispersive Burgers’ type PDEs. Thanks to this underlying structure, it is possible to propose a systematic derivation of exact solutions for PDEs with a quadratic nonlinearity of the Burgers’ type but with arbitrary dispersive orders. As illustrations, we revisit the dissipative Kotrweg de Vries, Kuramoto-Sivashinski, and Kawahara equations (involving third, fourth, and fifth order dispersion dynamics), which in this context appear to be nothing but the simplest special cases of this infinitely rich class of nonlinear evolutions.

Study of percolation thresholds in ternary tablets

1996 ◽  
Vol 139 (1-2) ◽  
pp. 177-186 ◽  
Author(s):  
I. Caraballo ◽  
M. Fernández-Arévalo ◽  
M. Millán ◽  
A.M. Rabasco ◽  
H. Leuenberger
Keyword(s):  
Percolation Thresholds

scholarly journals Evaporation-induced self-assembling of few-layer graphene into a fractal-like conductive macro-network with a reduction of percolation threshold

2015 ◽  
Vol 17 (12) ◽  
pp. 7634-7638 ◽  
Author(s):  
I. Janowska
Keyword(s):  
Percolation Threshold ◽  
Layer Graphene ◽  
Self Assembling ◽  
Percolation Thresholds ◽  
Few Layer Graphene

The evaporation-induced self-assembling of a few-layer graphene results in macroscopic branched fractal-like conductive patterns with reduced percolation thresholds.

Design methodology for systematic derivation of fault-tolerant processor array architectures

1998 ◽  
Vol 84 (6) ◽  
pp. 615-624 ◽  
Author(s):  
D. SOUDRIS ◽  
P. POECHMUELLER ◽  
E. D. KYRIAKIS-BITZAROS ◽  
M. BIRBAS ◽  
C. GOUTIS ◽  
...  
Keyword(s):  
Design Methodology ◽  
Fault Tolerant ◽  
Processor Array ◽  
Systematic Derivation
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