STATISTICAL RESEARCH OF AMPLITUDE AND SPECTRAL CHARACTERISTICS OF DENSITY FIELD FLUCTUATIONS FORMATION ENERGY IN NANOSIMENSIONAL SYSTEMS

UDC 531.19;538.911

 

Narkevich Ivan Ivanovich − DSc (Physics and Mathematics), Professor, Professor, the Department of Physics. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: narkevich@belstu.by

Farafontova Elena Valer’yevna − PhD (Physics and Mathematics), Assistant Professor, the Department of Physics. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: farafontova @belstu.by

Volosevich Zlata Gennadievna – student. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus)

 

DOI: https://doi.org/ 10.52065/2520-6141-2023-272-2-7 (In Russian).

 

Key words: two-level statistical method, nanosystems, density fluctuation in nanoparticles

 

For citation: Narkevich I. I., Farafontova E. V., Volosevich Z. G. Statistical research of amplitude and spectral characteristics of density field fluctuations formation energy in nanosimensional systems. Proceedings of BSTU, issue 3, Physics and Mathematics. Informatics, 2023, no. 2 (272), pp. 40–46. DOI: 10.52065/2520-6141-2023-272-2-7 (In Russian).

Abstract

In the study the first exploratory numerical calculations were performed. They are necessary for subsequent practical realization of the possibility idea of principal accelerated statistical thermodynamic fluctuation description for macroscopic and molecular systems. To implement it with the help of two-level statistical approach to inhomogeneous systems properties description before this work was introduced an infinite chain of correlative functions for an interacting elementary density fluctuations (EDF) ensemble. Fluctuations in this model are randomly generated with certain probabilities against the background uniform macroscopic systems with defined thermodynamic parameters. To describe EDF interactions between one another and with environment, in which they are spontaneously generated, with two-level statistical approach their effective potentials are calculated for spheric nanoparticle inside the thermostat with certain thermodynamic parameters. It means, that a nanoparticle inside the thermostat is an open thermodynamic system, and EDF (unary, binary, etc) effective potentials can be considered as their formation energies in such a system. Formation energies of unary and binary EDF are numerically calculated for a molecular system with close-to-critical parameters of Lennard-Jones interaction model. It will make possible further after numerical averaging of density field fluctuactions to calculate a G(r) correlative function of nanosimensional system, which evidently cannot be obtained in case of well-known fluctuation theory, designed carefully for macroscopic systems.

 

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References

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20.04.2023