ERRATUM: "Fractal Crack Patterns in Laponite Films and Their Scaling Behavior"

Fractals ◽  
2007 ◽  
Vol 15 (01) ◽  
pp. 103-103
Author(s):  
DIBYENDU MAL ◽  
SUPARNA SINHA ◽  
TAPATI DUTTA ◽  
S. MITRA ◽  
SUJATA TARAFDAR
Keyword(s):  
Scaling Behavior ◽  
Crack Patterns ◽  
Fractal Crack

FRACTAL CRACK PATTERNS IN LAPONITE FILMS AND THEIR SCALING BEHAVIOR

Fractals ◽  
2006 ◽  
Vol 14 (04) ◽  
pp. 283-288 ◽  
Author(s):  
DIBYENDU MAL ◽  
SUPARNA SINHA ◽  
TAPATI DUTTA ◽  
S. MITRA ◽  
SUJATA TARAFDAR
Keyword(s):  
Film Thickness ◽  
Crack Width ◽  
Coarse Graining ◽  
Self Similarity ◽  
Crack Patterns ◽  
Box Counting ◽  
A Value ◽  
Different Thickness ◽  
Fractal Crack ◽  
Crack Widths

We study crack patterns in laponite films of different thickness. The patterns show a self-similarity under coarse-graining, the fractal dimension determined by box-counting has a value around 1.66, independent of film thickness. The cracks on layers of different thickness show a remarkable scaling bahavior. We have measured the cumulative area covered by the cracks versus minimum crack-width resolved. Curves representing crack area for different thickness collapse onto a single curve, when the crack widths are scaled by the film thickness.

Scaling behavior of thermal shock crack patterns and tunneling cracks driven by cooling or drying

2010 ◽  
Vol 58 (9) ◽  
pp. 1411-1421 ◽  
Author(s):  
Hans-Achim Bahr ◽  
Hans-Jürgen Weiss ◽  
Ute Bahr ◽  
Martin Hofmann ◽  
Gottfried Fischer ◽  
...  
Keyword(s):  
Thermal Shock ◽  
Scaling Behavior ◽  
Crack Patterns

scholarly journals Scaling behavior of the activated conductivity in a quantum Hall liquid

1993 ◽  
Vol 48 (12) ◽  
pp. 9166-9169 ◽  
Author(s):  
S. Das Sarma ◽  
Dongzi Liu
Keyword(s):  
Quantum Hall ◽  
Scaling Behavior

Critical phenomena and scaling behavior in theories of activated barrier crossing

1992 ◽  
Vol 68 (17) ◽  
pp. 2608-2611 ◽  
Author(s):  
Surjit Singh ◽  
R. Krishnan ◽  
G. W. Robinson
Keyword(s):  
Critical Phenomena ◽  
Scaling Behavior ◽  
Barrier Crossing

scholarly journals A NEW APPROACH TO DYNAMIC FINITE-SIZE SCALING

2003 ◽  
Vol 14 (07) ◽  
pp. 945-954 ◽  
Author(s):  
MEHMET DİLAVER ◽  
SEMRA GÜNDÜÇ ◽  
MERAL AYDIN ◽  
YİĞİT GÜNDÜÇ
Keyword(s):  
Three Dimensional ◽  
Finite Size ◽  
Taylor Series Expansion ◽  
Scaling Behavior ◽  
Dynamic Scaling ◽  
Finite Size Scaling ◽  
New Approach ◽  
Size Scaling ◽  
Dynamic Exponent ◽  
Good Agreement

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behavior of two- and three-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent x0 to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For the three-dimensional Ising model we have also presented that this method opens the possibility of calculating z and x0 separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.

scholarly journals Scaling behavior of discretization errors in renormalization and improvement constants

2006 ◽  
Vol 73 (11) ◽  
Author(s):  
Tanmoy Bhattacharya ◽  
Rajan Gupta ◽  
Weonjong Lee ◽  
Stephen R. Sharpe
Keyword(s):  
Scaling Behavior ◽  
Discretization Errors
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