Hierarchical condensation near phase equilibrium

Olemskoĭ, A. I.; Yushchenko, O. V.; Borisyuk, V. N.; Zhilenko, T. I.; Kosminska, Yu. O.; Perekrestov, V. I.

doi:10.1016/j.physa.2011.10.027

Cited by 15 publications

(12 citation statements)

References 14 publications

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“…Similarly to the Lorenz system [18][19][20][21][22][23][24][25][26] in the Equations (4)-(6), the relaxation field ϕ ik (r, t) acts as order parameter. For the disordered state ϕ ik = 0, that is, there is no relaxation field.…”

Section: Phenomenological Modelmentioning

confidence: 99%

“…Figure 1 shows that increase in the value of the relaxation parameter in the interval limited by the maximum value ϕ s leads to increase in the concentration of relaxation areas and the decrease in the value of the stress field below the level σ 0 defined by the applied external stress. Inserting Equation (19) into the first formula of the basic system (11) we obtain…”

Section: Steady State Analysismentioning

confidence: 99%

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Kinetics of Nanostructuring Processes of Material Surface under Influence of Laser Radiation

2020

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In this paper, further research is conducted for a synergetic model that describes the state of the material surface in the process of laser irradiation. Namely, the previously studied approach of mutually coordinated behavior of the relaxation field, concentration of relaxation zones, and field of stress is supplemented with a nonlinear term. It is shown that, using this model, we can describe the behavior of different types of systems. During the analysis, five stationary states were found which correspond to different modes of formation of relaxation areas on the surface. The regions of parameters are found at which one or another mode of the system behavior is established. Phase portraits are constructed for each mode and the kinetics of the system is described. The obtained results qualitatively coincide with the experimental data.

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Section: Phenomenological Modelmentioning

confidence: 99%

Section: Steady State Analysismentioning

confidence: 99%

Kinetics of Nanostructuring Processes of Material Surface under Influence of Laser Radiation

2020

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“…When proving relation (10), which corresponds to the multiplicative noise, the dispersion properties of the independent Gaussian random variables [30] were taken into account. To avoid misunderstanding, a remark should be made that the direct transformations lead to the stochastic terms…”

Section: Langevin and Fokker-planck Equationsmentioning

confidence: 99%

“…the surface morphology always remains similar to itself. In other words, the system preserves relationships between its state parameters [9,10].…”

Section: Introductionmentioning

confidence: 99%

Self-Similar Mode of Metals Fragmentation under Severe Plastic Deformation

Хоменко¹

2019

Ukr. J. Phys.

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In the framework of nonequilibrium evolution thermodynamics, the influence of additive fluctuations on the kinetics of structural defects under severe plastic deformation has been studied. The applied method is a new one for the description of fragmentation modes and corresponding self-organization processes. It is found that a fragmented metallic specimen demonstrates a self-similar behavior, which results in the formation of a grain structure with various grain sizes. Such a behavior takes place provided that the probability distribution for the grain boundary density has a power-law dependence. A comparison of the results obtained in the Itˆo and Stratonovich forms demonstrates the absence of qualitative changes in the behavior of the system.

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“…Numerous methods of synthesis of nanoparticles with different structure, size and shape were proposed [1,3]. However, some experimental techniques that are widely used in material science, not always can be applied to investigate the structure and behavior of the nanoscale objects [4], thus, various theoretical [7][8][9] and computational [10][11][12][13] investigations can be an additional tool in studying of nanostructures.…”

Section: Introductionmentioning

confidence: 99%

Atomistic simulation of the melting behavior of the Au-Ag nanoparticles with core-shell structure

Borysiuk

Lyashenko

2015

2015 IEEE 35th International Conference on Electronics and Nanotechnology (ELNANO)

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Melting of the Au-Ag nanoparticle with core-shell structure was investigated by molecular dynamic simulation. Structural behavior of the nanoparticle was investigated in the range of temperature from 300 to 1300K. To detect the melting point Lindemann index was calculated during the simulation in the whole temperature range. It is shown that the melting of the Au-Ag nanoparticle under consideration occurs at the temperature of about 900 K. To detect the structural changes the radial distribution function was computed before and after melting. It is shown that the core-shell structure of the nanoparticle is not preserved due to the increased diffusion.

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Hierarchical condensation near phase equilibrium

Cited by 15 publications

References 14 publications

Kinetics of Nanostructuring Processes of Material Surface under Influence of Laser Radiation

Kinetics of Nanostructuring Processes of Material Surface under Influence of Laser Radiation

Self-Similar Mode of Metals Fragmentation under Severe Plastic Deformation

Atomistic simulation of the melting behavior of the Au-Ag nanoparticles with core-shell structure

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