Fractal pattern formation in thermal grooving at grain boundaries in Ag films on Si(111) surfaces

2012 ◽  
Vol 520 (15) ◽  
pp. 5086-5090 ◽  
Author(s):  
A. Roy ◽  
B. Sundaravel ◽  
R. Batabyal ◽  
B.N. Dev
Keyword(s):  
Pattern Formation ◽  
Grain Boundaries ◽  
Fractal Pattern

scholarly journals Nanoparticles dynamics on a surface: fractal pattern formation and fragmentation

2010 ◽  
Vol 248 ◽  
pp. 012025 ◽  
Author(s):  
Veronika V Dick ◽  
Ilia A Solov'yov ◽  
Andrey V Solov'yov
Keyword(s):  
Pattern Formation ◽  
Fractal Pattern ◽  
Surface Fractal

Scanning Electron Microscopy Observations of Fractal Pattern Formation in Al/Ge Bilayer Films

2004 ◽  
Vol 449-452 ◽  
pp. 445-448 ◽  
Author(s):  
Yuzo Miura ◽  
Minoru Doi ◽  
Tomokazu Moritani ◽  
Makoto Takagi ◽  
Toru Imura ◽  
...  
Keyword(s):  
Electron Microscopy ◽  
Scanning Electron Microscopy ◽  
Pattern Formation ◽  
Fractal Pattern ◽  
Bilayer Films ◽  
Scanning Electron

scholarly journals SPONTANEOUS SPATIAL FRACTAL PATTERN FORMATION IN ABSORPTIVE SYSTEMS

2012 ◽  
Vol 21 (02) ◽  
pp. 1250018 ◽  
Author(s):  
J. G. HUANG ◽  
J. M. CHRISTIAN ◽  
G. S. MCDONALD
Keyword(s):  
Nonlinear Dynamics ◽  
Stability Analysis ◽  
Pattern Formation ◽  
Numerical Simulations ◽  
Linear Stability Analysis ◽  
Ring Cavity ◽  
Fractal Pattern ◽  
Theoretical Predictions ◽  
First Time ◽  
Optical Ring

We predict, for the first time to our knowledge, that purely-absorptive nonlinearity can support spontaneous spatial fractal pattern formation. A passive optical ring cavity with a thin slice of saturable absorber is analyzed. Linear stability analysis yields threshold curves for Turing (static) instabilities with features proposed as characteristics of potential fractal pattern formation. Numerical simulations of the fully-nonlinear dynamics, with both one and two transverse dimensions, confirm theoretical predictions.

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