scholarly journals Comparative study of the critical behavior in one-dimensional random and aperiodic environments

1998 ◽  
Vol 5 (3) ◽  
pp. 613-625 ◽  
Author(s):  
F. Iglói ◽  
D. Karevski ◽  
H. Rieger
2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Xiaojun Yang ◽  
Junxiao Pan ◽  
Shijiang Liu ◽  
Mao Yang ◽  
Leiming Cao ◽  
...  

1993 ◽  
Vol 30 (3) ◽  
pp. 538-547 ◽  
Author(s):  
C. Chris Wu

For an independent percolation model on, whereis a homogeneous tree andis a one-dimensional lattice, it is shown, by verifying that the triangle condition is satisfied, that the percolation probabilityθ(p) is a continuous function ofpat the critical pointpc, and the critical exponents,γ,δ, and Δ exist and take their mean-field values. Some analogous results for Markov fields onare also obtained.


1995 ◽  
Vol 04 (01) ◽  
pp. 1-11 ◽  
Author(s):  
Y. ZHAO ◽  
D. HUANG ◽  
C. WU ◽  
R. SHEN

The transmission of electromagnetic radiation through the nonlinear one-dimensional photonic bandgap structure with different configurations are comparatively studied. It is found that the quarter-wavelength thickness arrangement gives rise to a wide window in the visible wavelength range. The modulated superlattice scheme only produces a number of narrow windows. The scheme using random layer thickness is expected to open a very wide window by making use of film nonlinearity when the number of layers is sufficient large. These nonlinear devices can be fabricated by using available materials.


1996 ◽  
Vol 54 (24) ◽  
pp. 17414-17421 ◽  
Author(s):  
Mathias van den Bossche ◽  
Michel Caffarel

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