Experimental observation of nonuniversal behavior of the conductivity exponent for three-dimensional continuum percolation systems

1986 ◽  
Vol 34 (10) ◽  
pp. 6719-6724 ◽  
Author(s):  
Sung-Ik Lee ◽  
Yi Song ◽  
Tae Won Noh ◽  
Xiao-Dong Chen ◽  
James R. Gaines
Keyword(s):  
Experimental Observation ◽  
Three Dimensional ◽  
Continuum Percolation

scholarly journals Experimental Observation of Energetic Ions Accelerated by Three-dimensional Magnetic Reconnection in a Laboratory Plasma

2002 ◽  
Vol 577 (1) ◽  
pp. L63-L66 ◽  
Author(s):  
M. R. Brown ◽  
C. D. Cothran ◽  
M. Landreman ◽  
D. Schlossberg ◽  
W. H. Matthaeus
Keyword(s):  
Magnetic Reconnection ◽  
Experimental Observation ◽  
Three Dimensional ◽  
Laboratory Plasma ◽  
Energetic Ions

Numerical and experimental observation of three-dimensional unsteady shock wave structures

1997 ◽  
Author(s):  
E. Timofeev ◽  
K. Takayama ◽  
P. Voinovich ◽  
E. Timofeev ◽  
K. Takayama ◽  
...  
Keyword(s):  
Shock Wave ◽  
Experimental Observation ◽  
Three Dimensional ◽  
Shock Wave Structures

scholarly journals Experimental observation of three-dimensional non-paraxial accelerating beams

2020 ◽  
Vol 28 (12) ◽  
pp. 17653 ◽  
Author(s):  
L. Li ◽  
Y. Jiang ◽  
P. Jiang ◽  
X. Li ◽  
Y. Qiu ◽  
...  
Keyword(s):  
Experimental Observation ◽  
Three Dimensional

NUMERICAL COMPUTATIONS OF CONDUCTIVITY IN CONTINUUM PERCOLATION FOR OVERLAPPING SPHEROIDS

2010 ◽  
Vol 21 (06) ◽  
pp. 709-729 ◽  
Author(s):  
SHIGEKI MATSUTANI ◽  
YOSHIYUKI SHIMOSAKO ◽  
YUNHONG WANG
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Volume Fraction ◽  
Three Dimensional ◽  
Percolation Model ◽  
Continuum Percolation ◽  
Laplace Equations ◽  
The Finite Difference Method ◽  
The Continuum

By numerically solving the generalized Laplace equations by means of the finite difference method, we investigated isotropic electric conductivity of a three-dimensional continuum percolation model consisting of overlapped spheroids of revolution in continuum. Since the computational results strongly depend upon parameters in the discretization methods of the finite difference method, we explored the dependences in details to construct the computational scheme which can represent the continuum percolation model well. Using the discrete scheme, we obtained the conductivity curves, σ =c (p -pc)t, depending upon aspect ratio of the conductive spheroids for the volume fraction p. We found the fact that the critical exponent t is not universal, which depends upon the shape of spheroids with a range varying from 1.58 ± 0.08 to 1.94 ± 0.18 whereas 1.85 is reported as the standard one of cubic lattice case [A. B. Harris, Phys. Rev. B28, 2614 (1983)]. We also discussed its relation to the nonuniversality in the broad distribution continuum percolation models.

Experimental observation of gravity–capillary solitary waves generated by a moving air suction

2016 ◽  
Vol 808 ◽  
pp. 168-188 ◽  
Author(s):  
Beomchan Park ◽  
Yeunwoo Cho
Keyword(s):  
Experimental Observation ◽  
Solitary Waves ◽  
Deep Water ◽  
Small Amplitude ◽  
Three Dimensional ◽  
Phase Speed ◽  
Linear Phase ◽  
Wave Patterns ◽  
Air Blowing ◽  
Linear And Nonlinear

Gravity–capillary solitary waves are generated by a moving ‘air-suction’ forcing instead of a moving ‘air-blowing’ forcing. The air-suction forcing moves horizontally over the surface of deep water with speeds close to the minimum linear phase speed $c_{min}=23~\text{cm}~\text{s}^{-1}$. Three different states are observed according to forcing speeds below $c_{min}$. At relatively low speeds below $c_{min}$, small-amplitude linear circular depressions are observed, and they move steadily ahead of and along with the moving forcing. As the forcing speed increases close to $c_{min}$, however, nonlinear three-dimensional (3-D) gravity–capillary solitary waves are observed, and they move steadily ahead of and along with the moving forcing. Finally, when the forcing speed is very close to $c_{min}$, oblique shedding phenomena of 3-D gravity–capillary solitary waves are observed ahead of the moving forcing. We found that all the linear and nonlinear wave patterns generated by the air-suction forcing correspond to those generated by the air-blowing forcing. The main difference is that 3-D gravity–capillary solitary waves are observed ‘ahead of’ the air-suction forcing whereas the same waves are observed ‘behind’ the air-blowing forcing.

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