Stochastic simulation of the fluctuation stage in the formation of thin films

Bondareva, A. L.; Zmievskaya, G. I.

doi:10.1134/1.1922554

Cited by 4 publications

(9 citation statements)

References 1 publication

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“…The stochastic simulation method [16,17,22,23] is alternative method of numerical solution of quasi-linear Fokker-Plank-Kolmogorov equations using of general Rozenbrok methods for solution of SDEs in the sense of Stratonovich significantly reduce of computational complexity of problem and enhance the range of possible applications. Subjected by radiation into diamond-like materials (such asSiC) are analysed numerically.…”

Section: Resultsmentioning

confidence: 99%

“…Different characteristic time periods of blister nucleus clusterization (10 −8 s) and Brownian motion (10 −7 s) allowed us to divide the problem into physical processes Eqs. ( 1) and ( 2) and present each kinetic equation by its stochastic analog [16,17]. A change in the blister size can occur as a result of inelastic collisions of gas nuclei with vacancies in their motion, in which Brownian diffusion appears in the medium.…”

Section: Kolmogorov Equations For Non Equilibrium Processesmentioning

confidence: 99%

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Processes of microporosity formation at initial stage phase transition

2019

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Процессы формирования микропористости на начальной стадии фазового перехода Компьютерные эксперименты по имплантации ионов могут применяться для оценки пористости объектов культурного наследия. Поры появляются под действием природных и антропогенных факторов. Их оценка осуществима по параметрам подобия и учету периодичности процессов. Обсуждается взаимодействие потока инертного газа с энергией ионов 5-10 кэВ с решеткой твердого тела. Образование пористых и напряженных структур в образце происходит для процессов длительностью 10-100 мсек. Начальная (неравновесная) стадия фазового перехода рассматривается как суперпозиция двух случайных процессов: кластеризации газовых мономеров и их Броуновского движения в кристаллической решетке многослоистого образца. Кластеризация зародышей появляется при внедрении инертного газа в решетку в форме пузырьков газа (блистеров). Кинетические уравнения для функции распределения пузырьков газа в слоях SiC и Mo заменены эквивалентными СДУ Ито-Стратоновича. Ключевые слова: кинетическая теория, стохастическая модель, пористость, карбид кремния, кластеры пор, самоорганизация, объекты культурного наследия

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Section: Resultsmentioning

confidence: 99%

Section: Kolmogorov Equations For Non Equilibrium Processesmentioning

confidence: 99%

Processes of microporosity formation at initial stage phase transition

2019

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“…The algorithms for the solution of a system of linear SDE by Ito-Stratonovich' [17] (with constant coefficients) were modified [2][3][4][5][6][7] by authors for simulation and analysis of the problem with functional coefficients [3,7,8], which has been applied to the non-equilibrium stage of clustering of gaseous (or liquid) particles.…”

Section: Kinetic and Stochastic Equationsmentioning

confidence: 99%

“…Interaction between the bubbles/clusters is indirect through lattice phonons and Friedel electron density oscillations [9][10][11][12][13][14][15][16]. The kinetics equations after the physical processes split are as follows:…”

Section: Kinetic and Stochastic Equationsmentioning

confidence: 99%

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A kinetic stochastic model of blistering and nanofilm islands deposition: self-organization problem

Zmievskaya¹,

Bondareva²,

Levchenko³

et al. 2007

J. Phys. D: Appl. Phys.

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First-order phase transition at a fluctuation stage into non-linear dissipative plasma-like media is considered. The clustering of new phase germs (or nucleation) is represented by stochastic Wiener processes. Brownian motion of clusters induced by a long-range potential of indirect (through acoustic phonons and Friedel's oscillation of electron density) interaction between one another is taken into account. Kinetic models for blistering materials in a controlled thermonuclear reactor and for melted metal thin film islands deposition during surface CVD modification are both put forward. The non-steady-state distribution of clusters versus their size and position in space is calculated using Ito–Stratonovich stochastic differential equations. Formation of radiation stimulated porosity layers in a lattice as well as liquid island chains on the surface are to be discussed as characteristics of phase transition at fluctuation stages as well as a new kind of self-organization phenomenon.

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Numerical modeling of the initial fluctuation condensation stage with charge drops

Аверина

Zmievskaya

2016

IOP Conf. Ser.: Mater. Sci. Eng.

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Stochastic simulation of the fluctuation stage in the formation of thin films

Cited by 4 publications

References 1 publication

Processes of microporosity formation at initial stage phase transition

Processes of microporosity formation at initial stage phase transition

A kinetic stochastic model of blistering and nanofilm islands deposition: self-organization problem

Numerical modeling of the initial fluctuation condensation stage with charge drops

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