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(34)
Fractals and Fractional calculus in continuum mechanics
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Fractal Concepts in Surface Growth
Fractal Concepts in Surface Growth,10.1063/1.2808215,Physics Today,Albert László Barabasi,H. Eugene Stanley,Leonard M. Sander
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Fractal Concepts in Surface Growth
(
Citations: 1423
)
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Albert László Barabasi
,
H. Eugene Stanley
,
Leonard M. Sander
Journal:
Physics Today  PHYS TODAY
, vol. 48, no. 10, 1995
DOI:
10.1063/1.2808215
Cumulative
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The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
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link.aip.org
)
Citation Context
(370)
...Let us perturb the SK energy by a nonthermal δcorrelated noise function η(
t
,
h
) such that the characteristic differential equation (<0010" reftype="dispformula">10) takes a form comparable with the KPZ equation The renormalisation of the onedimensional KPZ equation yields the critical exponents exactly
21
and it is known that simple rescaling does not lead to those exponents, except for the Edwards–Wilkinson behaviour near the trivial fixed point...
R. Oppermann
,
et al.
Nonanalytic quantum oscillator image of complete replica symmetry bre...
...This relation is similar to the definition of the roughness exponent on the RMS diagram of
Barabási and Stanley [1995]
, such that...
...[75] The scale at which =Ds deviates from the power law relation in Figure 14a represents the approximate maximum distance where the spatial correlation of the bed forms is maintained [
Barabási and Stanley, 1995
]...
Cristian Escauriaza
,
et al.
Initial stages of erosion and bed form development in a turbulent flow...
...). Such a longtail distribution is characteristic of nonlinear complex systems near critical points, and the collapse of amplitude distribution represents the scaleinvariant feature of such systems
...
Premananda Indic
,
et al.
Scaling Behavior of Human Locomotor Activity Amplitude: Association wi...
...interpreted as characteristic horizontal and vertical length scales of snow crystals, whereas L and σL are associated with the typical horizontal and vertical length scales of roughness structures emerging when the snowfall mimics a ballistic deposition process, respectively (
Barabási and Stanley 1995
)...
Christof Gromke
,
et al.
Aerodynamic Roughness Length of Fresh Snow
...Certain regimes of ion�stimulated cluster growth on the solid surface are also related to them [4], for example, in the processes of molecular� beam epitaxy [
5
]...
...As follows from [4,
5
], the main atomic processes on the surface are adsorption, des� orption, surface diffusion, and incorporation into the monoatomic step...
...This approach is related to using scaling considerations applied to the Kardar– Parisi–Zhang equation [
5
]...
...If this process is analyzed using the fractal con� ception [
5
], then it is probable that the fractal dependences are mainly characterized by the depen� dences of the limiting process (“narrow throat”)...
Kh. B. Ashurov
,
et al.
Simulation of fractal cluster growth on a substrate under ion bombardm...
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Citations
(1423)
Nonanalytic quantum oscillator image of complete replica symmetry breaking
R. Oppermann
,
H. Schenck
Journal:
Philosophical Magazine  PHILOS MAG
, vol. 92, no. 13, pp. 145159, 2012
Regulatory causality evaluation methods applied in kava hepatotoxicity: Are they appropriate?
(
Citations: 3
)
Rolf Teschke
,
Albrecht Wolff
Journal:
Regulatory Toxicology and Pharmacology  REGUL TOXICOL PHARMACOL
, vol. 59, no. 1, pp. 17, 2011
Effect of silicon carbide additive on microstructure and properties of porcelain ceramics
(
Citations: 1
)
Anze Shui
,
Xiuan Xi
,
Yanmin Wang
,
Xiaosu Cheng
Journal:
Ceramics International  CERAM INT
, vol. 37, no. 5, pp. 15571562, 2011
The challenges and scope of theoretical biology
(
Citations: 2
)
David C. Krakauer
,
James P. Collins
,
Douglas Erwin
,
Jessica C. Flack
,
Walter Fontana
,
Manfred D. Laubichler
,
Sonja J. Prohaska
,
Geoffrey B. West
,
Peter F. Stadler
Journal:
Journal of Theoretical Biology  J THEOR BIOL
, vol. 276, no. 1, pp. 269276, 2011
Structural and functional diversity of Nematoda in relation with environmental variables in the Setúbal and Cascais canyons, Western Iberian Margin
(
Citations: 2
)
Jeroen Ingels
,
David S. M. Billett
,
Konstadinos Kiriakoulakis
,
George A. Wolff
,
Ann Vanreusel
Journal:
Deepsea Research Part Iitopical Studies in Oceanography  DEEPSEA RES PT IITOP ST OCE
, vol. 58, no. 23, pp. 23542368, 2011