Observation of fractal patterns in C60-polymer thin films

1994 ◽  
Vol 9 (9) ◽  
pp. 2216-2218 ◽  
Author(s):  
H.J. Gao ◽  
Z.Q. Xue ◽  
Q.D. Wu ◽  
S. Pang
Keyword(s):  
Thin Films ◽  
Fractal Dimension ◽  
Long Range ◽  
Diffusion Limited Aggregation ◽  
Aggregation Model ◽  
Diffusion Limited ◽  
Range Correlation ◽  
Microscopic Features ◽  
Fractal Patterns ◽  
Cluster Diffusion

We report the observation of fractal patterns in C60-tetracyanoquinodimethane thin films. The fractal patterns and their microscopic features are described and characterized. The fractal dimension was determined to be 1.69 ± 0.07. According to the characterization results, the observed fractals are compared to the cluster-diffusion-limited-aggregation model. The growth of the fractal patterns in the thin films is also in terms of the existing long-range correlation.

Computer Simulation of Fatigue in Ferroelectric Thin Films by a Modified Diffusion Limited Aggregation Model with Drift

1995 ◽  
Vol 34 (Part 2, No. 1A) ◽  
pp. L51-L53 ◽  
Author(s):  
Xingjiao Li ◽  
Jianshe Liu ◽  
Dexin Lu ◽  
Jianhong Zhao ◽  
Longbo Huang ◽  
...  
Keyword(s):  
Thin Films ◽  
Computer Simulation ◽  
Ferroelectric Thin Films ◽  
Diffusion Limited Aggregation ◽  
Aggregation Model ◽  
Diffusion Limited

scholarly journals One-dimensional long-range diffusion-limited aggregation I

2016 ◽  
Vol 44 (5) ◽  
pp. 3546-3579 ◽  
Author(s):  
Gideon Amir ◽  
Omer Angel ◽  
Itai Benjamini ◽  
Gady Kozma
Keyword(s):  
Long Range ◽  
Diffusion Limited Aggregation ◽  
One Dimensional ◽  
Diffusion Limited

scholarly journals Differences in fractal patterns and characteristic periodicities between word salads and normal sentences: Interference of meaning and sound

PLoS ONE ◽  
2021 ◽  
Vol 16 (2) ◽  
pp. e0247133
Author(s):  
Jun Shimizu ◽  
Hiromi Kuwata ◽  
Kazuo Kuwata
Keyword(s):  
Fractal Dimension ◽  
Random Walk ◽  
Long Range ◽  
Mental State ◽  
Fractal Dimensions ◽  
Social Robots ◽  
Fractal Patterns

Fractal dimensions and characteristic periodicities were evaluated in normal sentences, computer-generated word salads, and word salads from schizophrenia patients, in both Japanese and English, using the random walk patterns of vowels.　In normal sentences, the walking curves were smooth with gentle undulations, whereas computer-generated word salads were rugged with mechanical repetitions, and word salads from patients with schizophrenia were unreasonably winding with meaningless repetitive patterns or even artistic cohesion. These tendencies were similar in both languages. Fractal dimensions between normal sentences and word salads of schizophrenia were significantly different in Japanese [1.19 ± 0.09 (n = 90) and 1.15 ± 0.08 (n = 45), respectively] and English [1.20 ± 0.08 (n = 91), and 1.16 ± 0.08 (n = 42)] (p < 0.05 for both). Differences in long-range (>10) periodicities between normal sentences and word salads from schizophrenia patients were predominantly observed at 25.6 (p < 0.01) in Japanese and 10.7 (p < 0.01) in English. The differences in fractal dimension and characteristic periodicities of relatively long-range (>10) presented here are sensitive to discriminate between schizophrenia and healthy mental state, and could be implemented in social robots to assess the mental state of people in care.

Characterizing Fractal and Hierarchical Morphologies Beyond the Fractal Dimension

1994 ◽  
Vol 367 ◽  
Author(s):  
Raphael Blumenfeld ◽  
Robin C. Ball
Keyword(s):  
Asymptotic Behavior ◽  
Fractal Dimension ◽  
Finite Size ◽  
Size Analysis ◽  
Corrections To Scaling ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited ◽  
Markovian Processes ◽  
Branching Patterns ◽  
Admissible Solutions

AbstractWe present a novel correlation scheme to characterize the morphology of fractal and hierarchical patterns beyond traditional scaling. The method consists of analysing correlations between more than two-points in logarithmic coordinates. This technique has several advantages: i) It can be used to quantify the currently vague concept of morphology; ii) It allows to distinguish between different signatures of structures with similar fractal dimension but different morphologies already for relatively small systems; iii) The method is sensitive to oscillations in logarithmic coordinates, which are both admissible solutions for renormalization equations and which appear in many branching patterns (e.g., noise-reduced diffusion-limited-aggregation and bronchial structures); iv) The methods yields information on corrections to scaling from the asymptotic behavior, which is very useful in finite size analysis. Markovian processes are calculated exactly and several structures are analyzed by this method to demonstrate its advantages.

scholarly journals Synthesis of Cobalt Oxides Thin Films Fractal Structures by Laser Chemical Vapor Deposition

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
P. Haniam ◽  
C. Kunsombat ◽  
S. Chiangga ◽  
A. Songsasen
Keyword(s):  
Thin Films ◽  
Chemical Vapor Deposition ◽  
Vapor Deposition ◽  
Atmospheric Pressure ◽  
Chemical Vapor ◽  
Cobalt Oxides ◽  
Fractal Structures ◽  
Laser Chemical Vapor Deposition ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited

Thin films of cobalt oxides (CoO and Co3O4) fractal structures have been synthesized by using laser chemical vapor deposition at room temperature and atmospheric pressure. Various factors which affect the density and crystallization of cobalt oxides fractal shapes have been examined. We show that the fractal structures can be described by diffusion-limited aggregation model and discuss a new possibility to control the fractal structures.

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