scholarly journals Kinetics of diffusion-limited aggregation-annihilation processes on small-world networks

2010 ◽  
Vol 59 (9) ◽  
pp. 6681
Author(s):  
Shen Wei-Wei ◽  
Li Ping-Ping ◽  
Ke Jian-Hong
Keyword(s):  
Small World ◽  
Small World Networks ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited ◽  
Kinetics Of

Влияние температуры отжига на кинетику процесса алюминий-индуцированной кристаллизации тонких пленок аморфного субоксида кремния

2021 ◽  
Vol 47 (21) ◽  
pp. 39
Author(s):  
И.Е. Меркулова ◽  
А.О. Замчий ◽  
Н.А. Лунев ◽  
В.О. Константинов ◽  
Е.А. Баранов -=SUP=-1-=/SUP=-
Keyword(s):  
Annealing Temperature ◽  
Silicon Oxide ◽  
Arrhenius Plot ◽  
Nucleation Density ◽  
Diffusion Limited Aggregation ◽  
Annealing Temperatures ◽  
Diffusion Limited ◽  
First Time ◽  
Kinetics Of ◽  
Induced Crystallization

In this work, the kinetics of aluminum-induced crystallization (AIC) of non-stoichiometric silicon oxide a-SiO0.25 was investigated for annealing temperatures of 370, 385 and 400 °C, as a result of which thin films of polycrystalline silicon were obtained. It is shown that for low annealing temperatures, the surface morphology of the crystalline material is represented by dendric structures corresponding to the growth model with diffusion-limited aggregation. In addition, with an increase in the annealing temperature, the nucleation density increases from 3 to 53 mm–2. From the Arrhenius plot, the activation energy of the AIC process of a-SiO0.25 was obtained for the first time, which was 3.7±0.4 eV.

scholarly journals Investigation into mechanisms and kinetics of asphaltene aggregation in toluene/n-hexane mixtures

2019 ◽  
Vol 17 (2) ◽  
pp. 457-466
Author(s):  
Bahram Soltani Soulgani ◽  
Fatemeh Reisi ◽  
Fatemeh Norouzi
Keyword(s):  
Image Processing ◽  
Fractal Theory ◽  
Particle Growth ◽  
Force Balance ◽  
Asphaltene Precipitation ◽  
Diffusion Limited Aggregation ◽  
Model Calculations ◽  
Diffusion Limited ◽  
Kinetics Of ◽  
And Diffusion

Abstract Determining the rate of asphaltene particle growth is one of the main problems in modeling of asphaltene precipitation and deposition. In this paper, the kinetics of asphaltene aggregation under different precipitant concentrations have been studied. The image processing method was performed on the digital photographs that were taken by a microscope as a function of time to determine the asphaltene aggregation growth mechanisms. The results of image processing by MATLAB software revealed that the growth of asphaltene aggregates is strongly a function of time. Different regions could be recognized during asphaltene particle growth including reaction- and diffusion-limited aggregation followed by reaching the maximum asphaltene aggregate size and start of asphaltene settling and the final equilibrium. Modeling has been carried out to predict the growth of asphaltene particle size based on the fractal theory. General equations have been developed for kinetics of asphaltene aggregation for reaction-limited aggregation and diffusion-limited aggregation. The maximum size of asphaltene aggregates and settling time were modeled by using force balance, acting on asphaltene particles. Results of modeling show a good agreement between laboratory measurements and model calculations.

scholarly journals Cellular Automata Modeling of Silica Aerogel Condensation Kinetics

Gels ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. 50
Author(s):  
Nina H. Borzęcka ◽  
Bartosz Nowak ◽  
Rafał Pakuła ◽  
Robert Przewodzki ◽  
Jakub M. Gac
Keyword(s):  
Condensation Reaction ◽  
Gelation Time ◽  
Aggregate Size ◽  
Collision Probability ◽  
Model Parameters ◽  
Gel Properties ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited ◽  
Kinetics Of ◽  
Simulation Time

The formation of silica aerogels and the kinetics of condensation were investigated numerically. The influence of the reaction-limited to the diffusion-limited aggregation (RLA to DLA) transition on the reaction kinetics curves and the evolution of the aggregate size distribution during condensation were examined. The 2D cellular automaton was developed and applied to reflect the process of secondary particle aggregation. Several tendencies were observed due to the adjustment of the model parameters: the probability of condensation reaction and the particles’ concentration. The final wet-gel structures’ visualizations proves that the structure becomes more dense and compact due to entering the RLA regime. The simulation time (associated with the gelation time) decreased along with the increase in both model parameters. The lower the collision probability, the slower reaction becomes, and particles are more likely to penetrate the structure deeper until they finally join the aggregate. The developed model reflects the condensation process’s nature and its mechanisms properly and indicates a significant potential for further aerogel synthesis investigations and for the prediction of wet-gel properties according to condensation parameters.

Networks

2018 ◽  
Author(s):  
Stefan Thurner ◽  
Rudolf Hanel ◽  
Peter Klimekl
Keyword(s):  
Complex Systems ◽  
Complex Networks ◽  
Phase Diagrams ◽  
Community Detection ◽  
Network Science ◽  
Small World ◽  
Small World Networks ◽  
Multilayer Networks ◽  
Basic Vocabulary

Understanding the interactions between the components of a system is key to understanding it. In complex systems, interactions are usually not uniform, not isotropic and not homogeneous: each interaction can be specific between elements.Networks are a tool for keeping track of who is interacting with whom, at what strength, when, and in what way. Networks are essential for understanding of the co-evolution and phase diagrams of complex systems. Here we provide a self-contained introduction to the field of network science. We introduce ways of representing and handle networks mathematically and introduce the basic vocabulary and definitions. The notions of random- and complex networks are reviewed as well as the notions of small world networks, simple preferentially grown networks, community detection, and generalized multilayer networks.

scholarly journals Multifractal analysis of eigenvectors of small-world networks

2021 ◽  
Vol 144 ◽  
pp. 110745
Author(s):  
Ankit Mishra ◽  
Jayendra N. Bandyopadhyay ◽  
Sarika Jalan
Keyword(s):  
Multifractal Analysis ◽  
Small World ◽  
Small World Networks

Anisotropy and Cluster Growth by Diffusion-Limited Aggregation

1985 ◽  
Vol 55 (13) ◽  
pp. 1406-1409 ◽  
Author(s):  
Robin C. Ball ◽  
Robert M. Brady ◽  
Giuseppe Rossi ◽  
Bernard R. Thompson
Keyword(s):  
Cluster Growth ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited
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