Wave-turbulence instability in nonequilibrium hydrodynamics systems

Kirichok, A.V.; Kuklin, V. M.; Panchenko, I. P.; Moiseev, S. S.

doi:10.1016/s1464-1895(99)00068-x

Cited by 2 publications

(3 citation statements)

References 4 publications

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“…In a similar way, the width of the spectrum of the wave packet affects the character of the Landau damping [6] on plasma electrons. In this case, the role of population inversion is played by the quantity…”

Section: Periodic Changes In the Luminosity Of Quantum Sourcesmentioning

confidence: 97%

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Computer modeling - a new mechanism of discoveries in natural science

Buts,

Gushchin,

Yanovsky

et al. 2021

Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control

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The paper notes that, on the one hand, the scientific methodology has been enriched with new, previously unknown tools - a personal computer, and on the other hand - all the previous processes of calculations, numerical simulation have been significantly accelerated by orders of magnitude. And, in addition, it was found that due to the permanent interactive communication with a personal computer connected to the world wide web, researchers have new opportunities to search for new effects and phenomena. A new reality of scientific research has emerged - “man-computer-network”. Below are new phenomena discovered exclusively through computer modeling.

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Section: Periodic Changes In the Luminosity Of Quantum Sourcesmentioning

confidence: 97%

“…As a result of the secondary modulation instability of the structure in Fig. 4(d), large-scale structures consisting of convective vortices and poloidal vortices [6] are formed (Fig. 6-7) (similar vortices are considered in [7]).…”

Section: Discovery Of New Phenomena: Dynamo Effects In Hydrodynamicmentioning

confidence: 99%

Computer modeling - a new mechanism of discoveries in natural science

Buts,

Gushchin,

Yanovsky

et al. 2021

Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control

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“…By the way, the equations of the Proctor Sivashinsky model, after the instability of the primary structure -convective rolls, formed a system of square convective cells The question of the appearance of a phase transition of the first kind did not need to be discussed, but it remained unclear what the instability of the primary structure of convective shafts is and whether this process is a phase transition of the second kind. This is exactly what was found out later in [6][7][8][9][10][11][12][13], where the state function whose values determined the type of topology of emerging spatial structures was found and verified, the process of their formation was shown and thus it was proved that the that transition is nothing but a phase transition of the second kind (see also [14], which results in the formation of a more stable field of convective square cells [15][16][17][18][19]).…”

Section: Introductionmentioning

confidence: 99%

A Demonstration Bench for Representing the Character of Phase Transitions of the First and Second Kind

Gushchin¹

2022

East Eur. J. Phys.

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The paper presents the description of a demonstration bench, which includes a mathematical model and analysis tools for understanding the features of phase transitions of the first and second kind. The advantage of this demonstration bench is the rejection of all phenomenology and the obvious limitation of the application of various approximations and hypotheses. The description is formed on the well-known equations of hydrodynamics, which are well-tested and are a reliable basis for the construction of realistic models. The Proctor-Sivashinsky model, which was used to describe the process of convection development in a thin layer of liquid with poorly conductive heat boundaries, is the basis for the demonstration bench. Exactly this model allows to observe phase transitions of the first and second kind. The feature of the model is that it allocates one spatial scale of interaction, leaving for the evolution of the system the possibility to choose the nature of symmetry. All spatial disturbances of the same size but of different orientation interact with each other. This allows us not to distract from the main task of this work, which is to demonstrate the process of structure formation as a result of a cascade of phase transitions. The mechanism of phase transitions associated with the presence of minimums of the interaction coefficients of modes of the spectrum of the instability. There are a large number of structural defects, which appear as attributes of phase transition. The instability spectrum modes interference is the reason of the high rate of correlations in the propagation of a new phase.

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Wave-turbulence instability in nonequilibrium hydrodynamics systems

Cited by 2 publications

References 4 publications

Computer modeling - a new mechanism of discoveries in natural science

Computer modeling - a new mechanism of discoveries in natural science

A Demonstration Bench for Representing the Character of Phase Transitions of the First and Second Kind

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