Study of spatially extended dynamical systems using probabilistic cellular automata

Vanag, Vladimir K.

doi:10.3367/ufnr.0169.199905a.0481

Cited by 20 publications

(12 citation statements)

References 125 publications

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“…The cellular automaton of class IV [2,3] that imitates the processes of system operation as functions of time and space and reproduces the complex behavior of the system as a whole for the preset activation energy in the given temperature interval with allowance for the initial type of particle distribution over the surface was used in the present work to reproduce the physical process of interaction between triplet energy donors and acceptors. The mathematical model was determined by the parameters of two types: 1) the parameters specifying the structure of the system and invariant under all allowable transformations of the model:…”

Section: Methodsmentioning

confidence: 99%

Analysis of the Luminescence Decay on the SiO2 Surface at Different Temperatures within the Multifractal Formalism

2005

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The kinetics of fluorescence decay of the Bengalese pink dye adsorbed on the surface of wide-porous silica with addition of anthracene is investigated in the case in which the fluorescence decay slows down due to annihilation. The experimental kinetic dependences recorded at temperatures in the interval from 153 to 273 K are examined by methods of multifractal analysis and computer modeling. A comparison of the experimental dependences with the results of computer modeling has demonstrated that changes in the kinetic luminescence characteristics of the system at different matrix temperatures are caused by reorganization of structural elements in the system leading to changes in ordering and fractal dimension of the reagent molecule distribution.

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Section: Methodsmentioning

confidence: 99%

Analysis of the Luminescence Decay on the SiO2 Surface at Different Temperatures within the Multifractal Formalism

2005

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“…After the reaction stage, we let the cases move in the street. For the movement of the cases, the algorithm rst introduced by Vanag 9 is used. In this method, the lattice is partitioned into 3 by 3 squares.…”

Section: Modelmentioning

confidence: 99%

An Investigation of the Effects of Lifting Quarantine Conditions after the Peak of COVID-19 Pandemic Using the Cellular Automata Approach

Ghaemi¹

2020

Preprint

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A cellular automata model for simulating the epidemic dynamics of COVID-19 disease in a small city is given. In the model, people are allowed to leave and return to their homes, and the time of the peak in different quarantine conditions is estimated. It is shown that the removal of quarantine conditions, even one month after reaching the peak, increases the number of total infected and total dead cases significantly.

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“…In the global behaviour of the entire system; for example [44]. Any boundary conditions can be applied to the model, including periodic boundaries to exclude undesired edge effects in a finite volume.…”

Section: D Modelling For Crack Initiation and Propagation In Quasi-bmentioning

confidence: 99%

A multi-scale three-dimensional Cellular Automata fracture model of radiolytically oxidised nuclear graphite

Vertyagina

Marrow

2017

Carbon

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A multi-scale approach for fracture simulation, based on the Cellular Automata technique, has been developed and then applied to a nuclear graphite that is used in structural components of the UK Advanced Gas-cooled Reactors (AGR). High resolution X-ray computed tomographs of Gilsocarbon grade graphite, with up to 68% weight loss by radiolytic oxidation, provide quantitative descriptions of the porosity within its constitutive filler particles and their surrounding matrix. The statistical distributions for tensile strength and elastic modulus obtained from small models of the filler and matrix are introduced to a large scale model of the heterogeneous microstructure. These microstructure-derived simulations achieve a good agreement with experimental data. The computationally efficient analysis is then used to investigate the stochastic effects on mechanical properties of possible variations in the microstructure between individual small test specimens. As these may represent material of nominally the same microstructure, there is an apparent increase in the variability of strength and modulus at high weight loss.

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Study of spatially extended dynamical systems using probabilistic cellular automata

Cited by 20 publications

References 125 publications

Analysis of the Luminescence Decay on the SiO2 Surface at Different Temperatures within the Multifractal Formalism

Analysis of the Luminescence Decay on the SiO2 Surface at Different Temperatures within the Multifractal Formalism

An Investigation of the Effects of Lifting Quarantine Conditions after the Peak of COVID-19 Pandemic Using the Cellular Automata Approach

A multi-scale three-dimensional Cellular Automata fracture model of radiolytically oxidised nuclear graphite

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