Andriy Gusak
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View article: Elementary Monte Carlo model of the anisotropic recrystallization and antiripening under intensive stirring and high supersaturations
Elementary Monte Carlo model of the anisotropic recrystallization and antiripening under intensive stirring and high supersaturations Open
Known method of fibrous oxides production (first of all, V2O5) by intensive stirring in water is treated in the frame of driven systems approach developed in 80s by Georges Martin et al for systems under irradiation or severe plastic defor…
View article: A Comparison Between Ripening Under a Constant Volume and Ripening Under a Constant Surface Area
A Comparison Between Ripening Under a Constant Volume and Ripening Under a Constant Surface Area Open
The classic Lifshitz–Slyozov–Wagner (LSW) theory of ripening assumes a constant volume. In comparison, we present here a model of ripening assuming a constant surface area, which has occurred in the microstructure changes in intermetallic …
View article: Concept of post-eutectic composition for undercooled alloys
Concept of post-eutectic composition for undercooled alloys Open
The concept of post-eutectic composition at a fixed undercooling is introduced as the most probable composition in zones of coupled growth. This composition corresponds to the minimum Gibbs free energy release rate in the steady state regi…
View article: Modeling of pattern formation of the ordered intermediate phases during co-deposition of binary thin film
Modeling of pattern formation of the ordered intermediate phases during co-deposition of binary thin film Open
Formation of the intermediate phase patterns in the thin-film co-deposition process is simulated using the Stochastic Kinetic Mean-Field method and Monte Carlo. Three basic morphologies of the 2D sections are distinguished: (1) spots (rod-…
View article: Ising and regular solution models revisited for 2D open systems
Ising and regular solution models revisited for 2D open systems Open
The Ising model is well-known for illustrating the fundamental characteristics of phase transitions in closed systems. In this article, we propose a generalization of the two-dimensional Ising model to open systems, considering the diverge…
View article: To suppress thermomigration of Cu–Sn intermetallic compounds in flip-chip solder joints
To suppress thermomigration of Cu–Sn intermetallic compounds in flip-chip solder joints Open
We report here an approach to inhibit Cu–Sn intermetallic compounds (IMCs) in flip chip solder joints under thermal-gradient annealing. We reflowed two types of solders joints, Cu/SnAg/Cu and Cu/SnAg/Ni, in an oven (isothermal) and on a ho…
View article: MODELING OF PATTERN FORMATION OF THE ORDERED INTERMEDIATE PHASES DURING CO-DEPOSITION OF BINARY THIN FILM
MODELING OF PATTERN FORMATION OF THE ORDERED INTERMEDIATE PHASES DURING CO-DEPOSITION OF BINARY THIN FILM Open
Formation of the intermediate phase patterns in the thin-film co-deposition process is simulated using the Stochastic Kinetic Mean-Field method and Monte Carlo. Three basic morphologies of the 2D sections are distinguished: (1) spots (rod-…
View article: Formation and Ripening of Nanobelts/Nanofibers under Stirring of aqueous Solution – alternative models
Formation and Ripening of Nanobelts/Nanofibers under Stirring of aqueous Solution – alternative models Open
Problem of V2O5 nanobelts production under intensive stirring of V2O5 powder in salted water is revisited. Method was initially proposed in 2016 but models and understanding were lacking. Here an independent attempt of the controlled V2O5 …
View article: DIFFUSION “SURPRIZES” IN INTERDIFFUSION MODELS
DIFFUSION “SURPRIZES” IN INTERDIFFUSION MODELS Open
Optimized algorithm of solution diffusion problem was described by using the non-equidistant space coordinate scale. The quasi-stationary model of reactive diffusion is described. The optimal diffusion-based phase growth and competition in…
View article: NEW THERMODYNAMIC APPROACHES TO FAILURE ANALYSIS IN MICROELECTRONIC MATERIALS
NEW THERMODYNAMIC APPROACHES TO FAILURE ANALYSIS IN MICROELECTRONIC MATERIALS Open
Failure of the microelectronic device may be treated in the frame of non-equilibrium thermodynamics applied to open systems under the condition of incompatibility of steady states for different processes. The criterion of failure can be re…
View article: APPLICATION OF SKMF METHOD TO MODELING OF INTER- AND REACTIVE DIFFUSION IN TERNARY ALLOYS
APPLICATION OF SKMF METHOD TO MODELING OF INTER- AND REACTIVE DIFFUSION IN TERNARY ALLOYS Open
long-term mixing and an approximately linear dependence of the average length on the intensity of mixing.
View article: Modelling of Phase Formation in Solid–Solid and Solid–Liquid Interactions: New Developments
Modelling of Phase Formation in Solid–Solid and Solid–Liquid Interactions: New Developments Open
Recent developments (after 2016) in modelling of phase formation during solid–solid and solid–liquid reactions by SKMF (Stochastic Kinetic Mean-Field) method, Monte Carlo simulation and phenomenological modelling are reviewed. Reasonable r…
View article: A kinetic model of copper-to-copper direct bonding under thermal compression
A kinetic model of copper-to-copper direct bonding under thermal compression Open
A surface creep model is presented for analyzing Cu-to-Cu direct bonding under thermal compression. The driving force is a pressure gradient, which squeezes layers of atoms to fill voids at the bonding interface. The link among the key par…
View article: Flux-Driven Lateral Grain Growth during Reactive Diffusion
Flux-Driven Lateral Grain Growth during Reactive Diffusion Open
Lateral grain growth accompanies intermetallic compound growth.Moreover, it can be induced by reactive phase transformation at low temperatures (at frozen bulk diffusion).In its turn, the evolution of grain size (at low temperature) influe…
View article: Anisotropic Nucleation, Growth and Ripening under Stirring—A Phenomenological Model
Anisotropic Nucleation, Growth and Ripening under Stirring—A Phenomenological Model Open
The anisotropic formation of elongated metal-oxide aggregates in water under intensive stirring is analyzed. It is treated in terms of anisotropic ballistically mediated aggregation kinetics in open systems. The basic kinetic equations des…
View article: Incubation Time at Decomposition of Solid Solution – Stochastic Kinetic Mean-Field Versus Monte Carlo Simulation
Incubation Time at Decomposition of Solid Solution – Stochastic Kinetic Mean-Field Versus Monte Carlo Simulation Open
The comparison of two simulation techniques applied to the nucleation in a supersaturated solid solution is made. The first one is the well-known Monte Carlo (MC) method. The second one is a recently developed modification of the atomistic…
View article: The effect of introducing stochasticity to kinetic mean-field calculations: Comparison with lattice kinetic Monte Carlo in case of regular solid solutions
The effect of introducing stochasticity to kinetic mean-field calculations: Comparison with lattice kinetic Monte Carlo in case of regular solid solutions Open
In present work we discuss the problem of introducing stochasticity into 3D atomistic kinetic mean-field simulations. As this is a new approach for simulating the time evolution of material systems, it should be positioned in the field of …
View article: Two Remarks on Wagner Integrated Diffusion Coefficient
Two Remarks on Wagner Integrated Diffusion Coefficient Open
Integrated interdiffusion coefficient, introduced by Carl Wagner in 1969, is revisited.First, it is applied for the whole diffusion zone, consisting of solid solutions and/or layers of intermediate compounds.We demonstrate, for the first t…
View article: "Predator and prey" model revisited -- influence of external fluxes and noise
"Predator and prey" model revisited -- influence of external fluxes and noise Open
In this paper, we suggest two ways of modifications, which seem natural: a) we will introduce sponsors/hunters of predators or/and preys with "license" for constant rate of sponsoring/hunting (regular external fluxes); b) we will introduce…
View article: NUCLEATION AND COMPETITION OF COMPOUNDS IN STRONGLY INHOMOGENEOUS OPEN SYSTEMS – NEW DEVELOPMENTS
NUCLEATION AND COMPETITION OF COMPOUNDS IN STRONGLY INHOMOGENEOUS OPEN SYSTEMS – NEW DEVELOPMENTS Open
Competitive nucleation of an intermediate phase in a sharp concentration gradient proceeds usually at the initial stages of the solid-state reaction between materials. Theory of nucleation at such conditions has almost 40 years of history …
View article: MODELING OF CONCENTRATION AND TEMPERATURE DEPENDENCIES OF INCUBATION TIME AT DECOMPOSITION OF SOLID SOLUTION BY MONTE CARLO METHOD
MODELING OF CONCENTRATION AND TEMPERATURE DEPENDENCIES OF INCUBATION TIME AT DECOMPOSITION OF SOLID SOLUTION BY MONTE CARLO METHOD Open
The article presents the application of Monte Carlo method to the kinetics of nucleation at the decomposition of a binary solid solution with a face-centered cubic lattice.We built a phase diagram of a binary solid solution by Monte Carlo …
View article: NUCLEATION IN METASTABLE SOLID SOLUTION – STOCHASTIC KINETIC MEAN FIELD APPROACH VERSUS CLASSICAL NUCLEATION THEORY
NUCLEATION IN METASTABLE SOLID SOLUTION – STOCHASTIC KINETIC MEAN FIELD APPROACH VERSUS CLASSICAL NUCLEATION THEORY Open
The application of Stochastic Kinetic Mean Field approach to the kinetics of nucleation at the decomposition of supersaturated binary solid solution is presented.The dependencies of incubation time on the noise amplitude and the supersatur…
View article: ELEMENTARY MODEL OF DIRECT BONDING AT LOW TEMPERATURE
ELEMENTARY MODEL OF DIRECT BONDING AT LOW TEMPERATURE Open
ЕЛЕМЕНТАРНА МОДЕЛЬ ПРЯМОГО З
View article: MODELING OF THE KINETICS OF THE ALLOYS DECOMPOSITION AND HOMOGENIZATION BY THE MEAN- FIELD METHOD
MODELING OF THE KINETICS OF THE ALLOYS DECOMPOSITION AND HOMOGENIZATION BY THE MEAN- FIELD METHOD Open
Hd МОДЕЛЮВАННЯ КІНЕТИКИ РОЗПАДУ ТА ГОМОГЕНІЗАЦІЇ СПЛАВІВ МЕТОДОМ
View article: Martin’s Kinetic Mean-Field Model Revisited—Frequency Noise Approach versus Monte Carlo
Martin’s Kinetic Mean-Field Model Revisited—Frequency Noise Approach versus Monte Carlo Open
Development of the non-linear kinetic mean-field model suggested by George Martin in 1990 is discussed. Its steady-state limit is shown to coincide with Khachaturyan’s model. It is proved rigorously that Martin’s model and its 3DD version …